Index theory and multiple solutions for asymptotically linear second-order delay differential equations

被引：0
作者：
Yuan Shan
机构：
[1] Nanjing Audit University,School of Statistics and Data Science
来源：
Boundary Value Problems | / 2023卷
关键词：
Delay differential equation; Asymptotically linear nonlinearities; Index theory; Relative Morse index; 58E05; 34C25; 19K56;
D O I：
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学科分类号：
摘要：
This paper is concerned with the existence of periodic solutions for asymptotically linear second-order delay differential equations. We will establish an index theory for the linear system directly in the sense that we do not need to change the problem of the original linear system into the problem of an associated Hamiltonian system. By using the critical point theory and the index theory, some new existence results are obtained.
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