Asymptotic behaviour of solutions of some linear delay differential equations.

Title:

Asymptotic behaviour of solutions of some linear delay differential equations.

Creator:

Čermák, Jan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:36029605-cc54-45a1-8fac-56c86f958e05
uuid:36029605-cc54-45a1-8fac-56c86f958e05
doi:10.21136/MB.2000.126125

Subject:

asymptotic behaviour, differential equation, delayed argument, and functional equation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper we investigate the asymptotic properties of all solutions of the delay differential equation y'(x)=a(x)y(\tau(x))+b(x)y(x),\qquad x\in I=[x_0,\infty). We set up conditions under which every solution of this equation can be represented in terms of a solution of the differential equation z'(x)=b(x)z(x),\qquad x\in I and a solution of the functional equation |a(x)|\varphi(\tau(x))=|b(x)|\varphi(x),\qquad x\in I.

Language:

English

Rights:

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

Coverage:

355-364

Source:

Mathematica bohemica | 2000 Volume:125 | Number:3

Harvested from:

CDK

Metadata only:

false