Displaying similar documents to “Existence of different kind of solutions for discrete time equations”

Periodic and Almost Periodic Solutions of Integral Inclusions

Radosław Pietkun (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

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The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.

On the C⁰-closing lemma

Anna A. Kwiecińska (1996)

Annales Polonici Mathematici

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A proof of the C⁰-closing lemma for noninvertible discrete dynamical systems and its extension to the noncompact case are presented.

Periodic solutions of nonlinear differential systems by the method of averaging

Zhanyong Li, Qihuai Liu, Kelei Zhang (2020)

Applications of Mathematics

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In many engineering problems, when studying the existence of periodic solutions to a nonlinear system with a small parameter via the local averaging theorem, it is necessary to verify some properties of the fundamental solution matrix to the corresponding linearized system along the periodic solution of the unperturbed system. But sometimes, it is difficult or it requires a lot of calculations. In this paper, a few simple and effective methods are introduced to investigate the existence...

Almost periodic solutions for a class of discrete systems with Allee-effect

Yongkun Li, Li Yang, Wanqin Wu (2014)

Applications of Mathematics

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In this paper, using Mawhin's continuation theorem of the coincidence degree theory, we obtain some sufficient conditions for the existence of positive almost periodic solutions for a class of delay discrete models with Allee-effect.