Positive periodic solutions for nonlinear first-order delayed differential equations at resonance

Abstract This paper studies the existence of positive periodic solutions of the following delayed differential equation: u′+a(t)u=f(t,u(t−τ(t))), $$ u'+a(t)u=f\bigl(t,u\bigl(t-\tau (t)\bigr)\bigr), $$ where a,τ∈C(R,R) $a, \tau \in C(\mathbb{R},\mathbb{R})$ are ω-periodic functions with ∫0ωa(t)d...

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Bibliographic Details
Main Authors: Ruipeng Chen, Xiaoya Li
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1104-x