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New existence results for nonlinear delayed differential systems at resonance

This paper deals with the first-order delayed differential systems [Formula: see text] where a, b, τ, h are continuous ω-periodic functions with [Formula: see text] and [Formula: see text] ; [Formula: see text] and [Formula: see text] are ω-periodic with respect to t. By means of the fixed point the...

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Detalles Bibliográficos
Autores principales: Chen, Ruipeng, Li, Xiaoya
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244713/
https://www.ncbi.nlm.nih.gov/pubmed/30839811
http://dx.doi.org/10.1186/s13660-018-1912-7
Descripción
Sumario:This paper deals with the first-order delayed differential systems [Formula: see text] where a, b, τ, h are continuous ω-periodic functions with [Formula: see text] and [Formula: see text] ; [Formula: see text] and [Formula: see text] are ω-periodic with respect to t. By means of the fixed point theorem in cones, several new existence theorems on positive periodic solutions are established. Our main results enrich and complement those available in the literature.