Existence and multiplicity results for nonlinear second order difference equations with Dirichlet boundary conditions

Title:

Existence and multiplicity results for nonlinear second order difference equations with Dirichlet boundary conditions

Creator:

Bereanu, Cristian and Mawhin, Jean

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d8c71180-8ae1-4801-ad27-2dc3400c95a2
uuid:d8c71180-8ae1-4801-ad27-2dc3400c95a2

Subject:

nonlinear difference equations, Ambrosetti-Prodi problem, and Brouwer degree

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We use Brouwer degree to prove existence and multiplicity results for the solutions of some nonlinear second order difference equations with Dirichlet boundary conditions. We obtain in particular upper and lower solutions theorems, Ambrosetti-Prodi type results, and sharp existence conditions for nonlinearities which are bounded from below or from above.

Language:

English

Rights:

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

Coverage:

145-160

Source:

Mathematica bohemica | 2006 Volume:131 | Number:2

Harvested from:

CDK

Metadata only:

false