On some boundary value problems for second order nonlinear differential equations

Title:

On some boundary value problems for second order nonlinear differential equations

Creator:

Došlá, Zuzana, Marini, Mauro, and Matucci, Serena

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:568c01b3-f990-42ed-bf3b-537d81a0b8a9
uuid:568c01b3-f990-42ed-bf3b-537d81a0b8a9
doi:10.21136/MB.2012.142856

Subject:

boundary value problem, p-Laplacian, half-linear equation, positive solution, uniqueness, decaying solution, and principal solution

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We investigate two boundary value problems for the second order differential equation with p-Laplacian (a(t)Φp(x ′ ))′ = b(t)F(x), t ∈ I = [0, ∞), where a, b are continuous positive functions on I. We give necessary and sufficient conditions which guarantee the existence of a unique (or at least one) positive solution, satisfying one of the following two boundary conditions: i) x(0) = c > 0, lim t→∞ x(t) = 0; ii) x ′ (0) = d < 0, lim t→∞ x(t) = 0.

Language:

English

Rights:

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

Coverage:

113-122

Source:

Mathematica bohemica | 2012 Volume:137 | Number:2

Harvested from:

CDK

Metadata only:

false