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1. Periodic solutions in reversible symmetric second order systems with multiple distributed delays.

Author

Duan, Yameng, Crane, Casey, Krawcewicz, Wieslaw, and Xiao, Huafeng

Subjects
*NONLINEAR differential equations, *BANACH spaces, *TOPOLOGICAL degree, *DELAY differential equations
Abstract

In this paper, we study a class of nonlinear differential equations with multiple distributed delays. We reduced the problem of search for periodic solutions of the distributed delay differential equations to that of finding zeros of an operator on some Banach space. Utilizing the equivariant degree theory, we obtain some sufficient conditions to guarantee the existence of multiplicity of periodic solutions. Also, we give some information about the symmetry of the periodic solutions. At last, we give an example to illustrate our result. [ABSTRACT FROM AUTHOR]

Published
2024
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