논문KCI 등재
Stability in functional difference equations with applications to infinite delay Volterra difference equations
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We consider a functional difference equation and use fixed point theory to obtain necessary and sufficient conditions for the asymptotic stability of its zero solution. At the end of the paper we apply our results to nonlinear Volterra infinite delay difference equations.
Abstract
We consider a functional difference equation and use fixed point theory to obtain necessary and sufficient conditions for the asymptotic stability of its zero solution. At the end of the paper we apply our results to nonlinear Volterra infinite delay difference equations.
참고문헌 (10)
- J. Cermak, "Difference equations in the qualitative theory of delay differential equations", Proceedings of the Sixth International Conference on Difference Equations, pp.391~398 (2004), CRC
- S. N. Elaydi, "Undergraduate Texts in Mathematics" (1999), Springer-Verlag
- W. Kelley, "Difference Equations an Introduction with Applications" (2001), Academic Press
- J. Migda, "Asymptotic behavior of solutions of nonlinear difference equations", Math. Bohem, 129(4), pp.349~359 (2004)
- C. Qian, "On global attractivity of nonlinear delay difference equations with a forcing term", J. Difference Equ. Appl, 11(3), pp.227~243 (2005)
- Y. N. Raffoul, "Existence of bounded solutions for Almost-Linear Volterra difference equations using fixed point theory and Lyapunov", Functionals Nonlinear Stud-ies, 21, pp.663~674 (2014)
- C. Tunc, "New stability and boundedness results to Volterra integro-differential equations with delay", J. Egyptian Math. Soc, 24(2), pp.210~213 (2016)
- C. Tunc, "A note on the qualitative behaviors of non-linear Volterra integro-differential equation", J. Egyptian Math. Soc, 24(2), pp.187~192 (2016)
- D. Zhang, "Global behavior of solutions of a nonlinear difference equation", Appl. Math. Comput, 159(1), pp.29~35 (2004)
- H. Zhu, "Asymptotic behavior of solutions for a class of delay difference equation", Ann. Differential Equations, 21(1), pp.99~105 (2005)
관련 논문AI추천
Stability in functional difference equations using fixed point theoryYoussef Raffoul대한수학회 · 대한수학회논문집2014 · 제29권 제1호Stability Criterion for Volterra Type Delay Difference Equations Including a Generalized Difference OperatorMurat Gevgesoglu, Yasar Bolat경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제1호Stability in nonlinear neutral Levin-Nohel integro-differential equationsAbdelouaheb Ardjouni, Ahcene Djoudi, Kamel Ali Khelil강원경기수학회 · 한국수학논문집2017 · 제25권 제3호Exponential stability of a class of nonlinear difference equations in Banach spacesHieu Trinh, Le Van Hien, Nguyen Sinh Bay대한수학회 · 대한수학회논문집2017 · 제32권 제4호Asymptotic behavior of nonlinear Volterra difference systems구남집, 구윤회, 최성규대한수학회 · 대한수학회보2007 · 제44권 제1호PERIODIC SOLUTIONS IN NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH FUNCTIONAL DELAYMariette R. Maroun, Youssef N. Raffoul대한수학회 · 대한수학회지2005 · 제42권 제2호
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