Existence of periodic solutions in shifts \(\delta_\pm\) for neutral nonlinear dynamic systems

DOI10.1016/j.amc.2014.05.062zbMath1334.39009arXiv1402.2540OpenAlexW2592496267MaRDI QIDQ279552

Murat Adivar, Halis Can Koyuncuoğlu, Youssef N. Raffoul

Publication date: 28 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2540

zbMATH Keywords

fixed pointperiodicityFloquet theoryshift operatorsneutral nonlinear dynamic system

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Dynamic equations on time scales or measure chains (34N05)

Related Items (5)

P-periodic solutions of a q-integral equation with finite delay ⋮ Some qualitative results for functional delay dynamic equations on time scales ⋮ Almost automorphic solutions of discrete delayed neutral system ⋮ Stability results for neutral differential equations by Krasnoselskii fixed point theorem ⋮ Unnamed Item

Cites Work

• A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems
• Periodic solutions of abstract neutral functional differential equations
• Existence of periodic solutions for abstract neutral nonautonomous equations with infinite delay
• Periodic solutions of neutral nonlinear system of differential equations with functional delay
• Existence of positive periodic solutions in neutral nonlinear equations with functional delay
• Periodic solutions for a neutral nonlinear dynamical equation on a time scale
• Miscellaneous dynamic equations
• Existence of periodic solutions in neutral nonlinear difference systems with delay
• Transition matrix and generalized matrix exponential via the Peano-Baker series
• A new periodicity concept for time scales
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