Novel method for generalized stability analysis of nonlinear impulsive evolution equations

Title:

Novel method for generalized stability analysis of nonlinear impulsive evolution equations

Creator:

Wang, JinRong, Zhou, Yong, and Wei, Wei

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3b503f27-df2b-436e-a3e9-b53be8d81a12
uuid:3b503f27-df2b-436e-a3e9-b53be8d81a12

Subject:

impulsive evolution equations, stabilization, stable manifolds, and singularly perturbed problems

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we discuss some generalized stability of solutions to a class of nonlinear impulsive evolution equations in the certain piecewise essentially bounded functions space. Firstly, stabilization of solutions to nonlinear impulsive evolution equations are studied by means of fixed point methods at an appropriate decay rate. Secondly, stable manifolds for the associated singular perturbation problems with impulses are compared with each other. Finally, an example on initial boundary value problem for impulsive parabolic equations is illustrated to our theory results.

Language:

English

Rights:

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

Coverage:

[1211]-1228

Source:

Kybernetika | 2012 Volume:48 | Number:6

Harvested from:

CDK

Metadata only:

false