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Готові списки джерел за темами / Weakly (strongly) almost periodic / Статті в журналах

Щоб переглянути інші типи публікацій з цієї теми, перейдіть за посиланням: Weakly (strongly) almost periodic.

Статті в журналах з теми "Weakly (strongly) almost periodic"

Автор: Grafiati

Опубліковано: 3 червня 2025

Оновлено: 31 липня 2025

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1

Rao, Aribindi Satyanarayan. "On annth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution." International Journal of Mathematics and Mathematical Sciences 32, no. 9 (2002): 573–78. http://dx.doi.org/10.1155/s0161171202108295.

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In a Banach space, ifuis a Stepanov almost periodic solution of a certainnth-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost periodic forcing function, thenu,u′,…,u (n−2)are all strongly almost periodic andu (n−1)is weakly almost periodic.

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2

Ghaffari, Ali. "Strongly and weakly almost periodic linear maps on semigroup algebras." Semigroup Forum 76, no. 1 (2007): 95–106. http://dx.doi.org/10.1007/s00233-007-9001-0.

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3

A.M., Aminpour, and Seilani Mehrdad. "AMENABILITY OF ap (S)." Journal of Academic and Applied Studies 3, no. 10 (2013): 46. https://doi.org/10.5281/zenodo.1059046.

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In this paper, we present an important new theorem for amenability of ap(S). The set of all almost periodic functions on S is denoted by ap(S). We develop the fundamental theory of almost periodic function on a general semitopological semigroup. The principal result is that ap(S) is amenable if and only if ap(S) = Sap(S) &oplus; F0 [Theorem 3.1]. Mathematical society classification:2010 MSC. 18340

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4

Yin, Jiandong, and Zuoling Zhou. "Weakly Almost Periodic Points and Some Chaotic Properties of Dynamical Systems." International Journal of Bifurcation and Chaos 25, no. 09 (2015): 1550115. http://dx.doi.org/10.1142/s0218127415501151.

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Let X be a compact metric space and f : X → X be a continuous map. In this paper, ergodic chaos and strongly ergodic chaos are introduced, and it is proven that f is strongly ergodically chaotic if f is transitive but not minimal and has a full measure center. In addition, some sufficient conditions for f to be Ruelle–Takens chaotic are presented. For instance, we prove that f is Ruelle–Takens chaotic if f is transitive and there exists a countable base [Formula: see text] of X such that for each i > 0, the meeting time set N(Ui, Ui) for Ui with respect to itself has lower density larger th

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5

Jiang, Jie, Lidong Wang, and Yingcui Zhao. "The d-Shadowing Property and Average Shadowing Property for Iterated Function Systems." Complexity 2020 (April 29, 2020): 1–9. http://dx.doi.org/10.1155/2020/4374508.

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In this paper, we introduce the definitions of d¯-shadowing property, d¯-shadowing property, topological ergodicity, and strong ergodicity of iterated function systems IFSf0,f1. Then, we show the following: 1 if IFSf0,f1 has the d¯-shadowing property (respectively, d¯-shadowing property), then ℱk has the d¯-shadowing property (respectively, d¯-shadowing property) for any k∈Z+; 2 if ℱk has the d¯-shadowing property (respectively, d¯-shadowing property) for some k∈Z+, then IFSf0,f1 has the d¯-shadowing property (respectively, d¯-shadowing property); 3 if IFSf0,f1 has the d¯-shadowing property or

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6

Slunyaev, Alexey V., and Victor I. Shrira. "On the highest non-breaking wave in a group: fully nonlinear water wave breathers versus weakly nonlinear theory." Journal of Fluid Mechanics 735 (October 23, 2013): 203–48. http://dx.doi.org/10.1017/jfm.2013.498.

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AbstractIn nature, water waves usually propagate in groups and the open question about the characteristics of the highest possible wave in a group is of significant theoretical and practical interest. We examine the problem of the highest non-breaking wave in a wave group by direct numerical simulations of the exact Euler equations. The main aim of the study is twofold: (i) to describe the highest wave in a group in fully nonlinear setting and find its dependence on parameters; (ii) to examine correspondence between the exact breather solutions of weakly nonlinear analytic theory based on the

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7

Osborne, Alfred R. "Nonlinear Fourier Analysis: Rogue Waves in Numerical Modeling and Data Analysis." Journal of Marine Science and Engineering 8, no. 12 (2020): 1005. http://dx.doi.org/10.3390/jmse8121005.

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Nonlinear Fourier Analysis (NLFA) as developed herein begins with the nonlinear Schrödinger equation in two-space and one-time dimensions (the 2+1 NLS equation). The integrability of the simpler nonlinear Schrödinger equation in one-space and one-time dimensions (1+1 NLS) is an important tool in this analysis. We demonstrate that small-time asymptotic spectral solutions of the 2+1 NLS equation can be constructed as the nonlinear superposition of many 1+1 NLS equations, each corresponding to a particular radial direction in the directional spectrum of the waves. The radial 1+1 NLS equations int

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8

Ellis, R., and M. Nerurkar. "Weakly almost periodic flows." Transactions of the American Mathematical Society 313, no. 1 (1989): 103. http://dx.doi.org/10.1090/s0002-9947-1989-0930084-3.

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9

Ruppert, W. A. F. "On weakly almost periodic sets." Semigroup Forum 32, no. 1 (1985): 267–81. http://dx.doi.org/10.1007/bf02575544.

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10

Lenz, Daniel, and Nicolae Strungaru. "On weakly almost periodic measures." Transactions of the American Mathematical Society 371, no. 10 (2019): 6843–81. http://dx.doi.org/10.1090/tran/7422.

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11

Ruess, Wolfgang, and William Summers. "Weakly almost periodic semigroups of operators." Pacific Journal of Mathematics 143, no. 1 (1990): 175–93. http://dx.doi.org/10.2140/pjm.1990.143.175.

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12

He, WeiHong, JianDong Yin, and ZuoLing Zhou. "On quasi-weakly almost periodic points." Science China Mathematics 56, no. 3 (2013): 597–606. http://dx.doi.org/10.1007/s11425-012-4560-2.

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13

Rao, Aribindi Satyanarayan, and L. S. Dube. "On the spectrum of weakly almost periodic solutions of certain abstract differential equations." International Journal of Mathematics and Mathematical Sciences 8, no. 1 (1985): 109–12. http://dx.doi.org/10.1155/s0161171285000096.

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In a sequentially weakly complete Banach space, if the dual operator of a linear operatorAsatisfies certain conditions, then the spectrum of any weakly almost periodic solution of the differential equationu′=Au+fis identical with the spectrum offexcept at the origin, wherefis a weakly almost periodic function.

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14

Nassar, Mostafa. "Recurrent and weakly recurrent points inβG". International Journal of Mathematics and Mathematical Sciences 9, № 2 (1986): 319–22. http://dx.doi.org/10.1155/s016117128600039x.

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It is shown in this paper that ifβGis the Stone-Čech compactification of a groupG, andGsatisfying a certain condition, then there is a weakly recurrent point inβGwhich is not almost periodic, and if another condition will be added, then there is a recurrent point inβGwhich is not almost periodic point.

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15

Nassar, Mostafa. "Weakly recurrent and almost periodic points inβG". International Journal of Mathematics and Mathematical Sciences 11, № 1 (1988): 37–42. http://dx.doi.org/10.1155/s0161171288000079.

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LetGbe a group. We will study the relationship betweenAGandWRG. In Nassar [1] it has been shown that ifGis a nontorsion group, thenAG⫋RG. In this paper we will show that ifGcontains a subsetAsuch thatK.Ais not left thick for each finite setKandAis not a finite union of thin sets, thenAG⫋WRG.

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16

Spronk, Nico. "Weakly almost periodic topologies, idempotents and ideals." Indiana University Mathematics Journal 71, no. 6 (2022): 2671–702. http://dx.doi.org/10.1512/iumj.2022.71.8668.

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17

Jolissaint, Paul. "Almost and weakly almost periodic functions on the unitary groups of von Neumann algebras." Journal of Operator Theory 87, no. 1 (2022): 271–94. http://dx.doi.org/10.7900/jot.2020aug30.2315.

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Let M⊂B(H) be a von Neumann algebra acting on the (separable) Hilbert space H. We first prove that M is finite if and only if, for every x∈M and for all vectors ξ,η∈H, the coefficient function u↦⟨uxu∗ξ|η⟩ is weakly almost periodic on the topological group UM of unitaries in M (equipped with the weak operator topology). The main device is the unique invariant mean on the C∗-algebra WAP(UM) of weakly almost periodic functions on UM. Next, we prove that every coefficient function u↦⟨uxu∗ξ|η⟩ is almost periodic if and only if M is a direct sum of a diffuse, abelian von Neumann algebra and finite-d

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18

Nakkhasen, Warud, Ronnason Chinram та Aiyared Iampan. "On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups". International Journal of Analysis and Applications 21 (27 липня 2023): 77. http://dx.doi.org/10.28924/2291-8639-21-2023-77.

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In this paper, we concentrate on studying the generalization of almost interior Γ-hyperideals in ordered Γ-semihypergroups. The notion of weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups is introduced. This concept generalizes the notion of almost interior Γ-hyperideals in ordered Γ-semihypergroups. Then, the characterization of ordered Γ-semihypergroups having no proper weakly almost interior Γ-hyperideals is provided. Next, we introduce the concept of fuzzy weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups. Also, some properties of fuzzy weakly almost interio

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19

Bader, Uri, Christian Rosendal, and Roman Sauer. "On the cohomology of weakly almost periodic group representations." Journal of Topology and Analysis 06, no. 02 (2014): 153–65. http://dx.doi.org/10.1142/s1793525314500125.

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We initiate a study of cohomological aspects of weakly almost periodic group representations on Banach spaces, in particular, isometric representations on reflexive Banach spaces. Using the Ryll–Nardzewski fixed point theorem, we prove a vanishing result for the restriction map (with respect to a subgroup) in the reduced cohomology of weakly periodic representations. Combined with the Alaoglu–Birkhoff decomposition theorem, this generalizes and complements theorems on continuous group cohomology by several authors.

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20

Nasr-Isfahani, Rasoul, and Mehdi Nemati. "Weakly almost periodic functionals on certain Banach algebras." Quaestiones Mathematicae 39, no. 8 (2016): 1005–17. http://dx.doi.org/10.2989/16073606.2016.1247117.

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21

Hansel, G., and J. P. Troallic. "On a class of weakly almost periodic mappings." Semigroup Forum 41, no. 1 (1990): 357–72. http://dx.doi.org/10.1007/bf02573401.

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22

Zhang, Chuanyi. "Characterizations of vector-valued weakly almost periodic functions." International Journal of Mathematics and Mathematical Sciences 2003, no. 5 (2003): 295–304. http://dx.doi.org/10.1155/s0161171203111325.

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We characterize the weak almost periodicity of a vector-valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left orbit. At the same time, we give the function some other equivalent properties.

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23

Zhang, Chuanyi. "Vector-valued means and weakly almost periodic functions." International Journal of Mathematics and Mathematical Sciences 17, no. 2 (1994): 227–37. http://dx.doi.org/10.1155/s0161171294000347.

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A formula is set up between vector-valued mean and scalar-valued means that enables us translate many important results about scalar-valued means developed in [1] to vector-valued means. As applications of the theory of vector-valued means, we show that the definitions of a mean in [2] and [3] are equivalent and the space of vector-valued weakly almost periodic functions is admissible.

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24

Wang, Lidong, Nan Li, Hui Wang, and Jianhua Liang. "Complexity and proper quasi-weakly almost periodic points." Chaos, Solitons & Fractals 139 (October 2020): 109884. http://dx.doi.org/10.1016/j.chaos.2020.109884.

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25

Yan, Qi, Jian Dong Yin, and Tao Wang. "A note on quasi-weakly almost periodic point." Acta Mathematica Sinica, English Series 31, no. 4 (2015): 637–46. http://dx.doi.org/10.1007/s10114-015-4202-z.

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26

Daws, Matthew. "Weakly almost periodic functionals on the measure algebra." Mathematische Zeitschrift 265, no. 2 (2009): 285–96. http://dx.doi.org/10.1007/s00209-009-0515-x.

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27

Vesentini, Edoardo. "Spectral Properties of Weakly Asymptotically Almost Periodic Semigroups." Advances in Mathematics 128, no. 2 (1997): 217–41. http://dx.doi.org/10.1006/aima.1997.1613.

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28

WANG, LIDONG, GUIFENG HUANG, and NA WANG. "WEAKLY ALMOST PERIODICITY AND DISTRIBUTIONAL CHAOS IN A SEQUENCE." International Journal of Modern Physics B 21, no. 31 (2007): 5283–90. http://dx.doi.org/10.1142/s0217979207038289.

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Let (∑, ρ) be a one-sided symbolic space (with two symbols) and σ be the shift on ∑. Denote the set of almost periodic points by A(·) and the set of weakly almost periodic points by W(·). In this paper, we prove that there exists an uncountable set J such that σ|J is distributively chaotic in a sequence, and J⊂W(σ)-A(σ).

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29

Dimitrova-Burlayenko, Svetlana. "ON SOME METRIZABLE TOPOLOGIES FOR WEAKLY ALMOST PERIODIC FUNCTIONS." Bulletin of the National Technical University "KhPI". Series: Mathematical modeling in engineering and technologies, no. 1 (1355) (February 27, 2020): 23–33. http://dx.doi.org/10.20998/2222-0631.2020.1.04.

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30

Downarowicz, Tomasz. "Weakly almost periodic mappings on one- and two-manifolds." Colloquium Mathematicum 54, no. 2 (1987): 253–59. http://dx.doi.org/10.4064/cm-54-2-253-259.

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31

Daws, Matthew. "Characterising weakly almost periodic functionals on the measure algebra." Studia Mathematica 204, no. 3 (2011): 213–34. http://dx.doi.org/10.4064/sm204-3-2.

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32

Micu, Sorin, and Ademir F. Pazoto. "Almost periodic solutions for a weakly dissipated hybrid system." Mathematical Control & Related Fields 4, no. 1 (2014): 101–13. http://dx.doi.org/10.3934/mcrf.2014.4.101.

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33

ÜLGER, ALI. "CONTINUITY OF WEAKLY ALMOST PERIODIC FUNCTIONALS ON L1(G)." Quarterly Journal of Mathematics 37, no. 4 (1986): 495–97. http://dx.doi.org/10.1093/qmath/37.4.495.

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34

Casinovi, Giorgio. "Sampling and Ergodic Theorems for Weakly Almost Periodic Signals." IEEE Transactions on Information Theory 55, no. 4 (2009): 1883–97. http://dx.doi.org/10.1109/tit.2009.2013021.

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35

Junghenn, H. D. "Weakly almost periodic representations of semigroups by Markov operators." Semigroup Forum 35, no. 1 (1986): 195–205. http://dx.doi.org/10.1007/bf02573103.

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36

EL-GEBEILY, MOHAMED, and KAMAL A. F. MOUSTAFA. "Asymptotic analysis of almost periodic weakly non-linear systems." International Journal of Control 54, no. 3 (1991): 561–75. http://dx.doi.org/10.1080/00207179108934176.

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37

Yan, Qi, and Jian Dong Yin. "On Quasi-weakly Almost Periodic Points of Continuous Flows." Acta Mathematica Sinica, English Series 35, no. 2 (2018): 257–69. http://dx.doi.org/10.1007/s10114-018-8013-x.

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38

Radder, A. C., and M. W. Dingemans. "Canonical equations for almost periodic, weakly nonlinear gravity waves." Wave Motion 7, no. 5 (1985): 473–85. http://dx.doi.org/10.1016/0165-2125(85)90021-6.

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39

Bryant, Peter J. "Chaotic breakdown of a periodically forced, weakly damped pendulum." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 34, no. 2 (1992): 153–73. http://dx.doi.org/10.1017/s0334270000008705.

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AbstractAn investigation is made of the transition from periodic solutions through nearly-periodic solutions to chaotic solutions of the differential equation governing forced coplanar motion of a weakly damped pendulum. The pendulum is driven by horizontal, periodic forcing of the pivot with maximum acceleration Є g and dimensionless frequency ω As the forcing frequency ω is decreased gradually at a sufficiently large forcing amplitude Є, it has been shown previously that the pendulum progresses from symmetric oscillations of period T (= 2 π/ω) into a symmetry-breaking, period-doubling sequen

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40

Balogh, Z. T., S. W. Davis, W. Just, S. Shelah, and P. J. Szeptycki. "Strongly almost disjoint sets and weakly uniform bases." Transactions of the American Mathematical Society 352, no. 11 (2000): 4971–87. http://dx.doi.org/10.1090/s0002-9947-00-02599-x.

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41

Downarowicz, Tomasz. "Some properties of weakly almost periodic mappings on compact spaces." Colloquium Mathematicum 54, no. 2 (1987): 241–52. http://dx.doi.org/10.4064/cm-54-2-241-252.

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42

Bordbar, B. "Weakly Almost Periodic Functions on N with a Negative Base." Journal of the London Mathematical Society 57, no. 3 (1998): 706–20. http://dx.doi.org/10.1112/s0024610798006255.

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43

Ruppert, W. A. F. "On Signed a-Adic Expansions and Weakly Almost Periodic Functions." Proceedings of the London Mathematical Society s3-63, no. 3 (1991): 620–56. http://dx.doi.org/10.1112/plms/s3-63.3.620.

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44

Chou, Ching. "Weakly almost periodic functions and thin sets in discrete groups." Transactions of the American Mathematical Society 321, no. 1 (1990): 333–46. http://dx.doi.org/10.1090/s0002-9947-1990-0984855-6.

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45

HE, WeiHong, XiaoYi WANG, and Yu HUANG. "Proper quasi-weakly almost periodic points and quasi-regular points." SCIENTIA SINICA Mathematica 43, no. 12 (2013): 1185–92. http://dx.doi.org/10.1360/012013-1.

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46

Akhmetov, M. U., and N. A. Perestyuk. "Periodic and almost periodic solutions of strongly non-linear impulsive systems." Journal of Applied Mathematics and Mechanics 56, no. 6 (1992): 829–37. http://dx.doi.org/10.1016/0021-8928(92)90117-q.

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47

Kumar, Gaurav, and Brij K.Tyagi. "Remarks on Semi-Menger and Star Semi-Menger Spaces." Tatra Mountains Mathematical Publications 81, no. 1 (2022): 57–68. http://dx.doi.org/10.2478/tmmp-2022-0003.

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Abstract It is proved that for an extremally disconnected S-paracompact-T 2 spaces the properties semi-Menger, Menger, strongly star semi-Menger, strongly star-Menger, star semi-Menger, star-Menger, almost semi-Menger, almost Menger, almost star semi-Menger, almost star-Menger are equivalent. We show that a weakly semi-continuous (strongly θ-semi-continuous) image of semi-Menger (almost semi-Menger) spaces is almost semi-Menger (semi-Menger), respectively. The characterizations of semi-Menger and star semi-Menger spaces are also provided.

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48

Phóng, Vũ. "Almost periodic and strongly stable semigroups of operators." Banach Center Publications 38, no. 1 (1997): 401–26. http://dx.doi.org/10.4064/-38-1-401-426.

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49

Almuhur, Eman, and Manal Al-Labadi. "Pairwise Strongly Lindelöf, Pairwise Nearly, Almost and Weakly Lindelöf Bitopological Spaces." WSEAS TRANSACTIONS ON MATHEMATICS 20 (April 9, 2021): 152–58. http://dx.doi.org/10.37394/23206.2021.20.16.

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Анотація:

The main purposes of this article is to introduce new generalizations of the notion of pairwise Lindelöf spaces in bitopological spaces where new notions: pairwise strongly Lindelöf, pairwise nearly, pairwise almost and pairwise weakly strongly Lindelöf bitopological spaces depend on the new notion pairwise preopen countable covers. These covers where we focused on their importance in topology consist of countable subfamilies whose closures cover the bitopological spaces and we clarified how pairwise preopen countable covers effect on pairwise strongly Lindelöf spaces. The new concepts of pair

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50

Dzinotyiweyi, Heneri A. M. "Uniformly continuous and weakly almost periodic functions on some topological semigroups." Proceedings of the American Mathematical Society 114, no. 2 (1992): 571. http://dx.doi.org/10.1090/s0002-9939-1992-1072336-0.

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