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Relevant bibliographies by topics / Difference equations

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Academic literature on the topic 'Difference equations'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 June 2025

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Journal articles on the topic "Difference equations"

1

Chen, Zong-Xuan, Kwang Ho Shon, and Zhi-Bo Huang. "Complex Differences and Difference Equations." Abstract and Applied Analysis 2014 (2014): 1. http://dx.doi.org/10.1155/2014/124843.

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Hooker, John W. "Some differences between difference equations and differential equations." Journal of Difference Equations and Applications 2, no. 2 (1996): 219–25. http://dx.doi.org/10.1080/10236199608808056.

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Bosák, Miroslav, and Jiří Gregor. "On generalized difference equations." Applications of Mathematics 32, no. 3 (1987): 224–39. http://dx.doi.org/10.21136/am.1987.104253.

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Morchało, Jarosław. "Volterra summation equations and second order difference equations." Mathematica Bohemica 135, no. 1 (2010): 41–56. http://dx.doi.org/10.21136/mb.2010.140681.

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Romanenko, E. Yu. "Differential-difference equations reducible to difference and q-difference equations." Computers & Mathematics with Applications 42, no. 3-5 (2001): 615–26. http://dx.doi.org/10.1016/s0898-1221(01)00181-x.

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Olson, Alton T. "Difference Equations." Mathematics Teacher 81, no. 7 (1988): 540–44. http://dx.doi.org/10.5951/mt.81.7.0540.

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Much talk is heard these days about the importance of including topics from discrete mathematics in our secondary mathematics curriculum. They are characterized by their treatment of discrete quantities rather than continuous quantities and limit processes. The mathematics of continuity and limit processes leading into calculus will continue to be a major part of our mathematics curriculum. At the same time topics from discrete mathematics will take on more importance because of the presence of inexpensive computing power that is fundamentally finite and discrete.

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Mansour, Eman A., and Emad A. Kuffi. "SEE Transform in Difference Equations and Differential-Difference Equations Compared With Neutrosophic Difference Equations." International Journal of Neutrosophic Science 22, no. 4 (2023): 36–43. http://dx.doi.org/10.54216/ijns.220403.

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The Sadiq-Emad-Emann (SEE) transform, also known as operational calculus, has gained significant importance as a fundamental component of the mathematical knowledge necessary for physicists, engineers, mathematicians, and other scientific professionals. This is because the SEE transform offers accessible and efficient resources for resolving several applications and challenges encountered in diverse engineering and science domains. This study aims to introduce the fundamental principles of SEE transformation and establish the validity of two statements and associated attributes. The objective of this study is to use the aforementioned qualities in order to determine the solution of difference and differential-difference equations, with neutrosophic versions of difference and differential difference equations. In addition, we are able to get very effective and expeditious precise answers.

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Khyat, Toufik. "Difference equations for scientists and engineering: interdisciplinary difference equations." Journal of Difference Equations and Applications 26, no. 5 (2020): 727–28. http://dx.doi.org/10.1080/10236198.2020.1782392.

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Chrastinová, Veronika, and Václav Tryhuk. "Parallelisms between differential and difference equations." Mathematica Bohemica 137, no. 2 (2012): 175–85. http://dx.doi.org/10.21136/mb.2012.142863.

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Berg, Lothar, and Stevo Stević. "Linear difference equations mod 2 with applications to nonlinear difference equations1." Journal of Difference Equations and Applications 14, no. 7 (2008): 693–704. http://dx.doi.org/10.1080/10236190701754891.

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Dissertations / Theses on the topic "Difference equations"

1

Floyd, Stewart Allen. "A qualitative analysis of finite difference equations in R[superscript n]." Thesis, Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/29441.

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Lame, John. "p-adic finite difference equations /." The Ohio State University, 1996. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487936356158483.

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Luís, Rafael Domingos Garanito. "Nonautonomous difference equations with applications." Doctoral thesis, Universidade da Madeira, 2011. http://hdl.handle.net/10400.13/206.

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This work is divided in two parts. In the first part we develop the theory of discrete nonautonomous dynamical systems. In particular, we investigate skew-product dynamical system, periodicity, stability, center manifold, and bifurcation. In the second part we present some concrete models that are used in ecology/biology and economics. In addition to developing the mathematical theory of these models, we use simulations to construct graphs that illustrate and describe the dynamics of the models. One of the main contributions of this dissertation is the study of the stability of some concrete nonlinear maps using the center manifold theory. Moreover, the second contribution is the study of bifurcation, and in particular the construction of bifurcation diagrams in the parameter space of the autonomous Ricker competition model. Since the dynamics of the Ricker competition model is similar to the logistic competition model, we believe that there exists a certain class of two-dimensional maps with which we can generalize our results. Finally, using the Brouwer’s fixed point theorem and the construction of a compact invariant and convex subset of the space, we present a proof of the existence of a positive periodic solution of the nonautonomous Ricker competition model.<br>Henrique Oliveira and Saber Elaydi

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Voepel, Tammy. "Variable transformations for difference equations /." free to MU campus, to others for purchase, 1997. http://wwwlib.umi.com/cr/mo/fullcit?p9841344.

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Goedhart, Eva Govinda. "Explicit bounds for linear difference equations /." Electronic thesis, 2005. http://etd.wfu.edu/theses/available/etd-05102005-222845/.

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Clark, Cathy Ann. "Global behavior of nonlinear difference equations /." View online ; access limited to URI, 2004. http://0-wwwlib.umi.com.helin.uri.edu/dissertations/dlnow/3135898.

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Kostrov, Yevgeniy. "Global behavior in rational difference equations /." View online ; access limited to URI, 2009. http://0-digitalcommons.uri.edu.helin.uri.edu/dissertations/AAI3367996.

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Chatterjee, Esha. "Global behavior in rational difference equations /." View online ; access limited to URI, 2005. http://0-wwwlib.umi.com.helin.uri.edu/dissertations/dlnow/3186897.

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Lugo, Gabriel. "Unboundedness results for rational difference equations." Thesis, University of Rhode Island, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3557097.

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<p>We present a collection of techniques for demonstrating the existence of unbounded solutions. We then use these techniques to determine the boundedness character of rational difference equations and systems of rational difference equations.</p><p> We study the rational difference equation <display-math> <fd> <fl>xn=a+xn-1Cx n-2+xn-3,n∈<blkbd> N.</blkbd></fl> </fd> </display-math> Particularly, we show that for nonnegative &agr; and <i> C</i>, whenever <i>C&agr;</i> = 0 and <i>C</i> + &agr; > 0, unbounded solutions exist for some choice of nonnegative initial conditions. Moreover, we study the rational difference equation <display-math> <fd> <fl>xn=a+bxn-1+x n-2xn-3,n ∈<blkbd>N.</blkbd></fl> </fd> </display-math> Particularly, we show that whenever 0 < β < &frac13; and &agr; ∈ [0,1], unbounded solutions exist for some choice of nonnegative initial conditions.</p><p> Following these two results, we then present some new results regarding the boundedness character of the <i>k<sup>th</sup></i> order rational difference equation <display-math> <fd> <fl>xn=a+<sum align="r"><ll>i=1</ll> <ul>k</ul></sum>bixn-iA +<sum align="r"><ll>j=1</ll><ul>k</ul></sum>Bjx n-j,n∈<blkbd>N. </blkbd></fl> </fd> </display-math> When applied to the general fourth order rational difference equation, these results prove the existence of unbounded solutions for 49 special cases of the fourth order rational difference equation, where the boundedness character has not been established yet. This resolves 49 conjectures posed by E. Camouzis and G. Ladas. </p><p> Finally, we study <i>k<sup>th</sup></i> order systems of two rational difference equations <display-math> <fd> <fl>xn=a+<sum align="r"><ll>i=1</ll> <ul>k</ul></sum>bixn-i+<sum align="r"> <ll>i=1</ll><ul>k</ul></sum>giyn-i A+<sum align="r"><ll>j=1</ll><ul>k</ul></sum>Bj xn-j+<sum align="r"><ll>j=1</ll><ul>k</ul></sum> Cjyn-j,n∈ <blkbd>N,</blkbd></fl> <fl>yn=p+<sum align="r"><ll>i=1</ll><ul>k</ul></sum> dixn-i+<sum align="r"><ll>i=1</ll> <ul>k</ul></sum>eiyn-iq +<sum align="r"><ll>j=1</ll><ul>k</ul></sum>Djx n-j+<sum align="r"><ll>j=1</ll><ul>k</ul></sum>Ej yn-j,n∈<blkbd>N .</blkbd></fl> </fd> </display-math> In particular, we assume non-negative parameters and non-negative initial conditions. We develop several approaches, which allow us to prove that unbounded solutions exist for certain initial conditions in a range of the parameters.</p>

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Khanizadeh, Farbod. "Symmetry structure for differential-difference equations." Thesis, University of Kent, 2014. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655204.

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Having infinitely many generalised symmetries is one of the definition of integrability for non-linear differential-difference equations. Therefore, it is important to develop tools by which we can produce these quantities and guarantee the integrability. Two different methods of producing generalised symmetries are studied throughout this thesis, namely recursion operators and master symmetries. These are objects that enable one to obtain the hierarchy of symmetries by recursive action on a known symmetry of a given equation. Our first result contains new Hamiltonian, symplectic and recursion operators for several (1 + 1 )-dimensional differential-difference equations both scalar and multicomponent. In fact in chapter 5 we give the factorization of the new recursion operators into composition of compatible Hamiltonian and symplectic operators. For the list of integrable equations we shall also provide the inverse of recursion operators if it exists. As the second result, we have obtained the master symmetry of differentialdifference KP equation. Since for (2+1 )-dimensional differential-difference equations recursion operators take more complicated form, " master symmetries are alternative effective tools to produce infinitely many symmetries. The notion of master symmetry is thoroughly discussed in chapter 6 and as a result of this chapter we obtain the master symmetry for the differential-difference KP (DDKP) equation. Furthermore, we also produce time dependent symmetries through sl(2, C)-representation of the DDKP equation.

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Books on the topic "Difference equations"

1

Lick, Wilbert James. Difference Equations from Differential Equations. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83701-2.

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Lick, Wilbert J. Difference equations from differential equations. Springer-Verlag, 1989.

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3

Sedaghat, Hassan. Nonlinear Difference Equations. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0417-5.

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4

F, Lessman, ed. Finite difference equations. Dover Publications, 1992.

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5

Levy, Hyman. Finite difference equations. Dover Pubns., 1992.

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Maximon, Leonard C. Differential and Difference Equations. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29736-1.

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7

Praagman, Cornelis. Meromorphic linear difference equations. [s.n.], 1985.

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Sharkovsky, A. N., Yu L. Maistrenko, and E. Yu Romanenko. Difference Equations and Their Applications. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1763-0.

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Agarwal, Ravi P., and Patricia J. Y. Wong. Advanced Topics in Difference Equations. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8899-7.

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Elaydi, Saber N. An Introduction to Difference Equations. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4757-3110-1.

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Book chapters on the topic "Difference equations"

1

Holden, K., and A. W. Pearson. "Difference Equations." In Introductory Mathematics for Economics and Business. Macmillan Education UK, 1992. http://dx.doi.org/10.1007/978-1-349-22357-2_10.

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Bender, Carl M., and Steven A. Orszag. "Difference Equations." In Advanced Mathematical Methods for Scientists and Engineers I. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4757-3069-2_2.

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Dhrymes, Phoebus J. "Difference Equations." In Mathematics for Econometrics. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-3238-2_6.

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4

Koçak, Hüseyin. "Difference Equations." In Differential and Difference Equations through Computer Experiments. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3610-8_8.

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Eichhorn, Wolfgang, and Winfried Gleißner. "Difference Equations." In Mathematics and Methodology for Economics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-23353-6_12.

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Evans, C. W. "Difference equations." In Engineering Mathematics. Springer US, 1992. http://dx.doi.org/10.1007/978-1-4684-1412-7_21.

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Dadkhah, Kamran. "Difference Equations." In Foundations of Mathematical and Computational Economics. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13748-8_16.

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8

Dayal, Vikram. "Difference Equations." In Quantitative Economics with R. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2035-8_7.

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Koçak, Hüseyin. "Difference Equations." In Differential and Difference Equations through Computer Experiments. Springer US, 1986. http://dx.doi.org/10.1007/978-1-4684-0271-1_8.

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Luderer, Bernd, Volker Nollau, and Klaus Vetters. "Difference Equations." In Mathematical Formulas for Economists. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-12431-4_10.

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Conference papers on the topic "Difference equations"

1

Popenda, Jerzy. "Finite Difference Equations and Periodicity." In Proceedings of the Third International Conference on Difference Equations. CRC Press, 2017. http://dx.doi.org/10.4324/9780203745854-25.

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Cheng, Sui. "Stability of Partial Difference Equations." In Proceedings of the Third International Conference on Difference Equations. CRC Press, 2017. http://dx.doi.org/10.4324/9780203745854-9.

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Kolmanovskii, V., and V. Nosov. "Asymptotic Behaviours of Volterra Difference Equations." In Proceedings of the Third International Conference on Difference Equations. CRC Press, 2017. http://dx.doi.org/10.4324/9780203745854-17.

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Baptista, A. Nascimento, C. Correia Ramos, and Nuno Martins. "Difference Equations on Matrix Algebras." In Proceedings of the Twelfth International Conference on Difference Equations and Applications. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814287654_0011.

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Camouzis, Elias. "Periodically Forced Rational Difference Equations." In Proceedings of the Twelfth International Conference on Difference Equations and Applications. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814287654_0014.

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Pinelas, Sandra. "Oscillatory Mixed Differential Difference Equations." In Proceedings of the Twelfth International Conference on Difference Equations and Applications. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814287654_0029.

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Elaydi, Saber. "Recent Developments in the Asymptotics of Difference Equations." In Proceedings of the Third International Conference on Difference Equations. CRC Press, 2017. http://dx.doi.org/10.4324/9780203745854-11.

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Gregor, JiŘĺ, and Jan Veit. "Partial Difference Equations: Cauchy Problem and Fundamental Solutions." In Proceedings of the Third International Conference on Difference Equations. CRC Press, 2017. http://dx.doi.org/10.4324/9780203745854-15.

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Zhang, Shunian. "Estimate Of Stability Region For Delay Difference Equations." In Proceedings of the Third International Conference on Difference Equations. CRC Press, 2017. http://dx.doi.org/10.4324/9780203745854-26.

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Berinde, Vasile. "A Method For Solving Second Order Difference Equations." In Proceedings of the Third International Conference on Difference Equations. CRC Press, 2017. http://dx.doi.org/10.4324/9780203745854-6.

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Reports on the topic "Difference equations"

1

Axford, R. A. Construction of Difference Equations Using Lie Groups. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/1172.

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Hyman, J. M., M. Shashkov, M. Staley, S. Kerr, S. Steinberg, and J. Castillo. Mimetic difference approximations of partial differential equations. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/518902.

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Mickens, Ronald E. Mathematical and Numerical Studies of Nonstandard Difference Equation Models of Differential Equations. Office of Scientific and Technical Information (OSTI), 2008. http://dx.doi.org/10.2172/965764.

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Mickens, Ronald E. Mathematical and numerical studies of nonstandard difference equation models of differential equations. Final technical report. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/805475.

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Chen, Guo, Zhilin Li, and Ping Lin. A Fast Finite Difference Method for Biharmonic Equations on Irregular Domains. Defense Technical Information Center, 2004. http://dx.doi.org/10.21236/ada444064.

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MacLachlan, J. A., and /Fermilab. Distinction between difference and differential equations of motion for synchrotron motion. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/920428.

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Cloutman, L. D. ,. LLNL. Choas and instabilities in finite difference approximations to nonlinear differential equations. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/292334.

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Meagher, Timothy. A New Finite Difference Time Domain Method to Solve Maxwell's Equations. Portland State University Library, 2000. http://dx.doi.org/10.15760/etd.6273.

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Holmes, Mark Alan. Stability of finite difference approximations of two fluid, two phase flow equations. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/505672.

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Li, Guangye. The Secant/Finite Difference Algorithm for Solving Sparse Nonlinear Systems of Equations. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada453093.

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