Resonance and multiplicity in periodic boundary value problems with singularity

Title:

Resonance and multiplicity in periodic boundary value problems with singularity

Creator:

Rachůnková, Irena, Tvrdý, Milan, and Vrkoč, Ivo

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:96aa3aab-6dac-4cde-a841-c17192452fbe
uuid:96aa3aab-6dac-4cde-a841-c17192452fbe

Subject:

second order nonlinear ordinary differential equation, periodic problem, and lower and upper functions

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The paper deals with the boundary value problem u '' + k u = g(u) + e(t), u(0) = u(2π), u ' (0) = u ' (2π), where k ∈ R, g : (0, ∞) → R is continuous, e ∈ L[0, 2π] and lim x→0+ ∫1 x g(s) ds = ∞. In particular, the existence and multiplicity results are obtained by using the method of lower and upper functions which are constructed as solutions of related auxiliary linear problems.

Language:

English

Rights:

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

Coverage:

45-70

Source:

Mathematica bohemica | 2003 Volume:128 | Number:1

Harvested from:

CDK

Metadata only:

false