Positive periodic solutions of a neutral functional differential equation with multiple delays

Title:

Positive periodic solutions of a neutral functional differential equation with multiple delays

Creator:

Li, Yongxiang and Liu, Ailan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a00fa255-d699-4176-bb9a-490b83c06c95
uuid:a00fa255-d699-4176-bb9a-490b83c06c95
doi:10.21136/MB.2017.0050-16

Subject:

neutral delay differential equation, positive periodic solution, cone, and fixed point index

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper deals with the existence of positive ω-periodic solutions for the neutral functional differential equation with multiple delays (u(t) − cu(t − δ))′ + a(t)u(t) = f(t, u(t − τ1), . . . , u(t − τn)). The essential inequality conditions on the existence of positive periodic solutions are obtained. These inequality conditions concern with the relations of c and the coefficient function a(t), and the nonlinearity f(t, x1, . . . , xn). Our discussion is based on the perturbation method of positive operator and fixed point index theory in cones.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

11-24

Source:

Mathematica bohemica | 2018 Volume:143 | Number:1

Harvested from:

CDK

Metadata only:

false