Singular Dirichlet boundary value problems. II. Resonance case

Title:

Singular Dirichlet boundary value problems. II. Resonance case

Creator:

O'Regan, Donal

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:853f416c-7eb6-4fa7-aa74-bb4dca5abecd
uuid:853f416c-7eb6-4fa7-aa74-bb4dca5abecd

Subject:

math and Dirichlet boundary conditions

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Existence results are established for the resonant problem $y^{\prime \prime }+\lambda _m \,a\,y=f(t,y)$ a.e. on $[0,1]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Carathéodory function, $a\in L_{{\mathrm loc}}^1(0,1)$ with $a>0$ a.e. on $[0,1]$ and $\int ^1_0 x(1-x)a(x)\,\mathrm{d}x <\infty $.

Language:

English

Rights:

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

Coverage:

269-289

Source:

Czechoslovak Mathematical Journal | 1998 Volume:48 | Number:2

Harvested from:

CDK

Metadata only:

false