Academic literature on the topic 'Almost periodic solution'

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Journal articles on the topic "Almost periodic solution"

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Wu, Huaiqin, and Luying Zhang. "Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays." Journal of Applied Mathematics 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/716172.

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This paper is concerned with the dynamical stability analysis for almost periodic solution of memristive neural networks with time-varying delays. Under the framework of Filippov solutions, by applying the inequality analysis techniques, the existence and asymptotically almost periodic behavior of solutions are discussed. Based on the differential inclusions theory and Lyapunov functional approach, the stability issues of almost periodic solution are investigated, and a sufficient condition for the existence, uniqueness, and global exponential stability of the almost periodic solution is estab
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Liang, Jiarong, Yongqing Liu, and Cunchen Gao. "Almost periodic solution to singular systems." Chinese Science Bulletin 43, no. 8 (1998): 698–700. http://dx.doi.org/10.1007/bf02883581.

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ZHUO, XIANGLAI. "THE STABILITY AND ALMOST PERIODIC SOLUTION FOR GENERALIZED LOGISTIC ALMOST PERIODIC SYSTEM WITH DELAYS." International Journal of Biomathematics 04, no. 03 (2011): 313–28. http://dx.doi.org/10.1142/s1793524511001210.

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The stability and almost periodic solution for generalized logistic almost periodic system with infinite and discrete delays is considered. Some sufficient conditions for the boundedness of the system are obtained to guarantee that the system is globally asymptotically stable. We also show that the almost periodic system has a unique globally asymptotically stable strictly positive almost periodic solution by using the almost periodic functional Hull theory and new computational techniques. Furthermore, some recent results are improved, and an open question is answered.
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Chen, Yong Qing, and Hong Xu Li. "ASYMPTOTICALLY -ALMOST PERIODIC SOLUTIONS TO DIFFERENTIAL EQUATIONS IN BANACH SPACES." Far East Journal of Mathematical Sciences (FJMS) 141, no. 4 (2024): 299–316. http://dx.doi.org/10.17654/0972087124018.

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In this paper, we establish the existence and uniqueness result of asymptotically $(\omega, c)$-almost periodic mild solutions to semilinear differential equations in a Banach space. For this purpose, we first give some properties of $(\omega, c)$-almost periodic functions and asymptotically $(\omega, c)$-almost periodic functions, including the composition theorems. Then we obtain the existence and uniqueness result of $(\omega, c)$-almost periodic mild solution to the semilinear differential equation, and the existence and uniqueness theorems for $(\omega, c)$-almost periodic and asymptotica
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Lassoued, Dhaou, and Michal Fečkan. "Boundedness and almost periodicity of solutions of linear differential systems." Mathematica Slovaca 72, no. 5 (2022): 1203–14. http://dx.doi.org/10.1515/ms-2022-0082.

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Abstract In this paper, we study the following linear differential system (1) x ′ ( t ) = A ( t ) x ( t ) , x ( t ) ∈ ℝ n , t ∈ ℝ , $${{x}^{\prime }}(t)=A(t)x(t),\,\,\,\,x(t)\in {{\mathbb{R}}^{n}},\quad t\in \mathbb{R},$$ where t ↦ A(t) is a matrix valued almost periodic function. We prove that if all the solutions of the above system are almost periodic, there exists an almost periodic function b : R → R n such that the following differential equation (2) x ′ ( t ) = A ( t ) x ( t ) + b ( t ) , x ( t ) ∈ ℝ n , t ∈ ℝ $${{x}^{\prime }}(t)=A(t)x(t)+b(t),\,\,\,\,x(t)\in {{\mathbb{R}}^{n}},\quad t
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Shao, Qi, and Yongkun Li. "Almost periodic solutions for Clifford-valued stochastic shunting inhibitory cellular neural networks with mixed delays." AIMS Mathematics 9, no. 5 (2024): 13439–61. http://dx.doi.org/10.3934/math.2024655.

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<abstract><p>We adopted a non decomposition method to study the existence and stability of Stepanov almost periodic solutions in the distribution sense of stochastic shunting inhibitory cellular neural networks (SICNNs) with mixed time delays. Due to the lack of linear structure in the set composed of Stepanov almost periodic stochastic processes in the distribution sense. Due to the lack of linear structure in the set composed of distributed Stepanov periodic stochastic processes, it poses difficulties for the existence of Stepanov almost periodic solutions in the distribution sen
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Ma, Rui, and Mengmeng Li. "Almost Periodic Solution for Forced Perturbed Non-Instantaneous Impulsive Model." Axioms 11, no. 10 (2022): 496. http://dx.doi.org/10.3390/axioms11100496.

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In this paper we investigate a forced perturbed non-instantaneous impulsive model. Firstly, we prove the existence and uniqueness of an almost periodic solution for the model considered by the Banach contraction principle. Secondly, we prove that all solutions converge exponentially to the almost periodic solution. In other words, the solution of the model considered is exponentially stable. Finally, we provide some simulations to show the effectiveness of the theoretical results.
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Chen, Ye-Jun, and Hui-Sheng Ding. "Pseudo almost periodicity for stochastic differential equations in infinite dimensions." Electronic Journal of Differential Equations 2023, no. 01-37 (2023): 34. http://dx.doi.org/10.58997/ejde.2023.34.

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In this article, we introduce the concept of p-mean θ-pseudo almost periodic stochastic processes, which is slightly weaker than p-mean pseudo almost periodic stochastic processes. Using the operator semigroup theory and stochastic analysis theory, we obtain the existence and uniqueness of square-mean θ-pseudo almost periodic mild solutions for a semilinear stochastic differential equation in infinite dimensions. Moreover, we prove that the obtained solution is also pseudo almost periodic in path distribution. It is noteworthy that the ergodic part of the obtained solution is not only ergodic
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Xue, Yalong, Xiangdong Xie, Fengde Chen, and Rongyu Han. "Almost Periodic Solution of a Discrete Commensalism System." Discrete Dynamics in Nature and Society 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/295483.

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A nonautonomous discrete two-species Lotka-Volterra commensalism system with delays is considered in this paper. Based on the discrete comparison theorem, the permanence of the system is obtained. Then, by constructing a new discrete Lyapunov functional, a set of sufficient conditions which guarantee the system global attractivity are obtained. If the coefficients are almost periodic, there exists an almost periodic solution and the almost periodic solution is globally attractive.
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Meng, Junxia. "Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/463076.

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This paper presents a new generalized model of hematopoiesis with multiple time-varying delays. The main purpose of this paper is to study the existence and the global exponential stability of the positive pseudo almost periodic solutions, which are more general and complicated than periodic and almost periodic solutions. Under suitable assumptions, and by using fixed point theorem, sufficient conditions are given to ensure that all solutions of this model converge exponentially to the positive pseudo almost periodic solution for the considered model. These results improve and extend some know
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Dissertations / Theses on the topic "Almost periodic solution"

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Ibaouene, Youcef. "Processus Weyl presque périodique et équations différentielles stochastiques." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMR120.

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La thèse est dédiée à l'étude de certaines équations différentielles à coefficients Weyl presque périodiques. Elle contient deux parties essentielles : La première partie est consacrée à des problèmes déterministes. On y étudie l'existence et l'unicité d'une solution mild bornée Weyl presque périodique pour l'équation différentielle linéaire abstraite u’ (t) = Au(t) + f(t); t ∈ R; dans un espace de Banach X, où A : D(A) ⊂ X → X est un opérateur linéaire (non borné) qui génère un C0-semi-groupe exponentiellement stable et f : R → X est une fonction Weyl presque périodique. Finalement, toujours
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Alsulami, Saud M. A. "On Evolution Equations in Banach Spaces and Commuting Semigroups." Ohio University / OhioLINK, 2005. http://www.ohiolink.edu/etd/view.cgi?ohiou1126042587.

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Dimbour, William. "Solutions presque automorphes et S asymptotiquement ω– périodiques pour une classe d’équations d’évolution". Thesis, Antilles-Guyane, 2013. http://www.theses.fr/2013AGUY0599/document.

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Ce travail de thèse est consacré à l’étude d’équations d’évolution et d’équations différentielles à argument constant par morceaux. L’étude des équations différentielles à argument constant par morceaux est un domaine important car ces équations ont la structure de système dynanmique de longueur constante. La continuité des solutions conduit à une relation de récurrence entre les valeurs de cette dernière entre les points n et n+1, où n est un entier relatif quelconque. Par conséquent les équations différentielles à argument constant par morceaux combinent à la fois les propriétés des équation
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Chen, Jein-Shan, and 陳界山. "The Almost Periodic Solutions Of The Nonautonomous Differential Equations." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/55564250783476676409.

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碩士<br>國立師範大學<br>數學系<br>81<br>In this paper we present some results concerned with the problem of existence of almost-periodic and asymptotically almost- solutions of non-autonomous first order abstract differential equations in Banach space. The basic techniques used are ordinary differential equation theory and fixed point theory in Banach space.
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Books on the topic "Almost periodic solution"

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Cheban, David N. Asymptotically almost periodic solutions of differential equations. Hindawi Pub. Corp., 2009.

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Stamov, Gani T. Almost Periodic Solutions of Impulsive Differential Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27546-3.

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Stamov, Gani T. Almost Periodic Solutions of Impulsive Differential Equations. Springer Berlin Heidelberg, 2012.

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Toka, Diagana, and SpringerLink (Online service), eds. Almost Periodic Stochastic Processes. Springer Science+Business Media, LLC, 2011.

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Yoshiyuki, Hino, ed. Almost periodic solutions of differential equations in Banach spaces. Taylor & Francis, 2002.

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Pankov, A. A. Bounded and almost periodic solutions of nonlinear operator differential equations. Kluwer Academic Publishers, 1990.

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Pankov, A. A. Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-011-9682-6.

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Pyke, Randall Mitchell. Virial relations for nonlinear wave equations and nonexistence of almost periodic solutions. Dept. of Mathematics, University of Toronto, 1996.

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Andrichenko, Lyudmila, Aleksandor Postnikov, Liya Vasil'eva, et al. Legal regulation of interethnic relations in the Russian Federation: problems of theory and practice. INFRA-M Academic Publishing LLC., 2022. http://dx.doi.org/10.12737/1842506.

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The scientific and practical manual analyzes the issues of legal regulation of almost all areas of implementation of the state national policy defined in the Strategy of the State National Policy of the Russian Federation for the period up to 2025, in order to ensure the interests of the state, society, man and citizen, strengthening the state unity and integrity of the Russian Federation.&#x0D; The subject of the book is determined by the system of building the legal foundations of state national policy in accordance with the principles of federalism and local self-government, taking into acc
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Almost Periodic Solutions Of Impulsive Differential Equations. Springer, 2012.

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Book chapters on the topic "Almost periodic solution"

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Mbaye, Mamadou Moustapha, and Ousmane Seydi. "Almost Periodic Solution for Non Autonomous Non Densely Defined Cauchy Problems." In Trends in Mathematics. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04616-2_9.

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Akhmet, Marat. "Almost Periodic Solutions." In Nonlinear Hybrid Continuous/Discrete-Time Models. Atlantis Press, 2011. http://dx.doi.org/10.2991/978-94-91216-03-9_7.

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Stamov, Gani T. "Almost Periodic Solutions." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27546-3_2.

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Wang, C. Y. "Periodic and Almost Periodic Solutions." In Essential Perturbation Methods. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-26545-7_7.

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Aouiti, Chaouki, Mohammed Salah M’hamdi, and Farouk Chérif. "The Existence and the Stability of Weighted Pseudo Almost Periodic Solution of High-Order Hopfield Neural Network." In Artificial Neural Networks and Machine Learning – ICANN 2016. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44778-0_56.

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Akhmet, Marat. "Discontinuous Almost Periodic Solutions." In Nonlinear Systems and Complexity. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20572-0_4.

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Kent, Candace M., and David M. Chan. "Rippled Almost Periodic Solutions." In Analysis of a Model for Epilepsy. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003285380-4.

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Pankov, A. A. "Almost periodic functions." In Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-011-9682-6_2.

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Hino, Yoshiyuki, Satoru Murakami, and Toshiki Naito. "Existence of periodic solutions and almost periodic solutions." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0084441.

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Kunze, Markus. "Bounded, unbounded, periodic, and almost periodic solutions." In Non-Smooth Dynamical Systems. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0103846.

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Conference papers on the topic "Almost periodic solution"

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Jackson, L., and K. Grimes. "Commercial Application of a High Resolution on Line Inspection System." In CORROSION 1991. NACE International, 1991. https://doi.org/10.5006/c1991-91564.

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Abstract Almost two decades have passed since British Gas first identified the need for an alternative to the hydrostatic pressure test as a means of periodic revalidation of high pressure gas transmission pipelines. On Line Inspection was seen as the most cost effective method of monitoring pipeline integrity. In the absence of adequate commercially available services a major programme of research and development was undertaken to seek engineering solutions to some specific inspection problems associated with on-shore and off-shore pipelines. The main investment has been concerned with metal
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Koutsoukos, Petros G., P. Klepetsanis, N. Spanos, and D. G. Kanellopoulou. "Calcium Carbonate Crystal Growth and Dissolution Inhibitors." In CORROSION 2007. NACE International, 2007. https://doi.org/10.5006/c2007-07052.

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Abstract Calcium carbonate scale formation was simulated by the development in situ of supersaturation in the vicinity of a stainless steel electrode immersed in a stable calcium carbonate solution. The initiation of the growth of the supercritical crystals was accompanied by a decrease of the absolute value of the cathodic current, which at the end of crystallization was constant. The absolute final value of the cathodic current was the measure of the extent of crystallization. In the absence of any additive the only phase identified on the electrode was calcite. In the presence however of ad
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Takabe, Hideki, and Masakatsu Ueda. "The Formation Behavior of Corrosion Protective Films of Low Cr Bearing Steels in CO2 Environments." In CORROSION 2001. NACE International, 2001. https://doi.org/10.5006/c2001-01066.

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Abstract Corrosion protective film is important to prevent CO2 corrosion. The formation behavior of corrosion protective film on C-Mn steel and low Cr bearing steels with martensitic microstructure was investigated in a CO2 environment at 60°C. Immersion tests were performed with test periods of 24, 48, 96 and 720 hours. At each of these periods the corrosion protective film was examined using a scanning electron microscope (SEM) and an X-ray diffraction analyzer. Quantitative analysis of the Cr element in the corrosion protective film was carried out by using energy dispersive X-ray analysis
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Zhao, Bao-Zhu, Jie-Hong Xu, and Qing Zhang. "Stability of Almost Periodic Solution for BAM Neural Networks with Delays." In 2012 International Conference on Computer Science and Electronics Engineering (ICCSEE). IEEE, 2012. http://dx.doi.org/10.1109/iccsee.2012.70.

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Liao, Qingshui. "Permanence and almost periodic solution for a n-species competitive system." In 2018 4th International Conference on Economics, Social Science, Arts, Education and Management Engineering (ESSAEME 2018). Atlantis Press, 2018. http://dx.doi.org/10.2991/essaeme-18.2018.99.

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Sun, Dexian, and Yonghui Xia. "Globally Attractive Almost Periodic Solution of Diffusion Model with Beddington-Deangelisfunctional Response." In 2008 2nd International Conference on Bioinformatics and Biomedical Engineering. IEEE, 2008. http://dx.doi.org/10.1109/icbbe.2008.572.

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Abbas, Syed, and Lakshman Mahto. "Existence of almost periodic solution of a model of phytoplankton allelopathy with delay." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756287.

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Geng, Jinbo, Zhibin Liu, and Chiyu Pan. "Existence of almost periodic solution of a class of retarded impulsive differential equations." In 2011 International Conference on Consumer Electronics, Communications and Networks (CECNet). IEEE, 2011. http://dx.doi.org/10.1109/cecnet.2011.5768404.

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Meng Hu and Lili Wang. "Existence and stability of almost periodic solution for a general neural networks with impulses effects." In 2011 International Conference on System Science, Engineering Design and Manufacturing Informatization (ICSEM). IEEE, 2011. http://dx.doi.org/10.1109/icssem.2011.6081158.

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Meng, Yanshuang. "Existence and Global Attractivity of Almost Periodic Solution of Hopfield Neural Networks with Time Delays." In 2011 Seventh International Conference on Computational Intelligence and Security (CIS). IEEE, 2011. http://dx.doi.org/10.1109/cis.2011.89.

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Reports on the topic "Almost periodic solution"

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Briones, Roehlano. Market and State in Philippine Agricultural Policy. Philippine Institute for Development Studies, 2022. https://doi.org/10.62986/dp2022.08.

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This paper aims to evaluate the country's agricultural modernization strategy under the lens of the market-driven approach. The early post-War period of economic policy relates to solving the food problem solution for low-income countries, which minimizes farmer welfare and emphasizes benefits to the wealthier, nonfarming class. This prevailed until the 1970s when the interest of the farming class began to be reasserted. By the 1990s, the main issue was the disparity problems, which considers as almost equally weighty, the interests of poor farmers, as well as that of nonagricultural consumers
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Malkinson, Mertyn, Irit Davidson, Moshe Kotler, and Richard L. Witter. Epidemiology of Avian Leukosis Virus-subtype J Infection in Broiler Breeder Flocks of Poultry and its Eradication from Pedigree Breeding Stock. United States Department of Agriculture, 2003. http://dx.doi.org/10.32747/2003.7586459.bard.

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Objectives 1. Establish diagnostic procedures to identify tolerant carrier birds based on a) Isolation of ALV-J from blood, b) Detection of group-specific antigen in cloacal swabs and egg albumen. Application of these procedures to broiler breeder flocks with the purpose of removing virus positive birds from the breeding program. 2. Survey the AL V-J infection status of foundation lines to estimate the feasibility of the eradication program 3. Investigate virus transmission through the embryonated egg (vertical) and between chicks in the early post-hatch period (horizontal). Establish a model
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Jacobsen, Nils. Linjebussens vekst og fall i den voksende byen: en studie av bybussenes geografiske kvalitet Stavanger – Sandnes 1920 – 2010. University of Stavanger, 2019. http://dx.doi.org/10.31265/usps.244.

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Linear city bus services are facing increased challenges from city growth. Increased number of inhabitants on increasing acres of built-up areas, makes it demanding to maintain adequate bus services within reasonable catchment areas. Number of departures per hour give a partial description of the bus service quality. Number of departures give reference to the time aspect of bus service quality, but say nothing about the geographical aspect. What part of the entire line network is within reach of direct bus service when frequencies are limited? To address the geographical aspect of bus service
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Einarsson, Rasmus. Nitrogen in the food system. TABLE, 2024. http://dx.doi.org/10.56661/2fa45626.

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Nitrogen (N) plays a dual role in the agri-food system: it is an essential nutrient for all life forms, yet also an environmental pollutant causing a range of environmental and human health impacts. As the plant nutrient needed in greatest quantities, and as a building block of proteins and other biomolecules, N is a necessary part of all life. In the last century, an enormous increase of N turnover in the agri-food system has enabled increasing per-capita food supply for a growing world population, but as an unintended side effect, N pollution has increased to levels widely agreed in science
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