The existence and multiplicity of symmetrical periodic solutions for asymptotically linear distributed delay differential systems

In this paper, we study the existence and multiplicity of the symmetrical periodic solutions for some asymptotically linear distributed delay differential systems under a symmetric condition by using the symmetric L0-index theory.

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Bibliographic Details
Published inJournal of Differential Equations Vol. 420; pp. 99 - 117
Main Authors Zhong, Yuyou, Wang, Qi, Liu, Chungen
Format Journal Article
LanguageEnglish
Published Elsevier Inc 05.03.2025
Subjects
Distributed delay differential systems
Hamiltonian systems
Maslov-type index theory
Distributed delay differential systems
Hamiltonian systems
Maslov-type index theory
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ISSN0022-0396
DOI10.1016/j.jde.2024.11.050

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Summary:In this paper, we study the existence and multiplicity of the symmetrical periodic solutions for some asymptotically linear distributed delay differential systems under a symmetric condition by using the symmetric L0-index theory.
ISSN:0022-0396
DOI:10.1016/j.jde.2024.11.050