Periodic solutions in reversible systems in second order systems with distributed delays-Reference-Cited by-同舟云学术

Periodic solutions in reversible systems in second order systems with distributed delays

Published:2024 Issue:4 Volume:9 Page:8461-8475
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Duan Yameng¹,Krawcewicz Wieslaw²,Xiao Huafeng¹

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, China

2. Department of Mathematical Sciences, the University of Texas at Dallas, Richardson, TX, 75080-3021, USA

Abstract

<abstract><p>In this paper, we study the existence and multiplicity of periodic solutions to a class of second-order nonlinear differential equations with distributed delay. Under assumptions that the nonlinearity is odd, differentiable at zero and satisfies the Nagumo condition, by applying the equivariant degree method, we prove that the delay equation admits multiple periodic solutions. The results are then illustrated by an example.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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