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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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
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ISSN0022-0396
DOI10.1016/j.jde.2024.11.050

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Abstract 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.
AbstractList 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.
Author Wang, Qi
Zhong, Yuyou
Liu, Chungen
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Keywords Distributed delay differential systems
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Maslov-type index theory
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Snippet In this paper, we study the existence and multiplicity of the symmetrical periodic solutions for some asymptotically linear distributed delay differential...
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SubjectTerms Distributed delay differential systems
Hamiltonian systems
Maslov-type index theory
Title The existence and multiplicity of symmetrical periodic solutions for asymptotically linear distributed delay differential systems
URI https://dx.doi.org/10.1016/j.jde.2024.11.050
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