New existence results of anti-periodic solutions of nonlinear impulsive functional differential equations

Title:

New existence results of anti-periodic solutions of nonlinear impulsive functional differential equations

Creator:

Liu, Yuji and Liu, Xingyuan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:205b917f-f759-4997-928b-e50da9fea378
uuid:205b917f-f759-4997-928b-e50da9fea378
doi:10.21136/MB.2013.143508

Subject:

anti-periodic solution, impulsive functional differential equation, fixed-point theorem, and growth conditionř

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper is a continuation of Y. Liu, Anti-periodic solutions of nonlinear first order impulsive functional differential equations, Math. Slovaca 62 (2012), 695–720. By using Schaefer's fixed point theorem, new existence results on anti-periodic solutions of a class of nonlinear impulsive functional differential equations are established. The techniques to get the priori estimates of the possible solutions of the mentioned equations are different from those used in known papers. An example is given to illustrate the main theorems obtained. One sees easily that Example 3.1 can not be solved by Theorems 2.1–2.3 obtained in Liu's paper since (G2) in Theorem 2.1, (G4) in Theorem 2.2 and (G6) in Theorem 2.3 are not satisfied.

Language:

English

Rights:

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

Coverage:

337-360

Source:

Mathematica bohemica | 2013 Volume:138 | Number:4

Harvested from:

CDK

Metadata only:

false