Boundary value problem with an inner point for the singularly perturbed semilinear differential equations

Title:

Boundary value problem with an inner point for the singularly perturbed semilinear differential equations

Creator:

Vrábeľ, Róbert

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:005c21d1-7fec-4d54-baa6-6cb96617af6a
uuid:005c21d1-7fec-4d54-baa6-6cb96617af6a
doi:10.21136/MB.2011.141442

Subject:

singular perturbation, boundary value problem, upper solution, and lower solution

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper we investigate the problem of existence and asymptotic behavior of solutions for the nonlinear boundary value problem εy ′′ + ky = f(t, y), t ∈ ha,bi, k < 0, 0 < ε ≪ 1 satisfying three point boundary conditions. Our analysis relies on the method of lower and upper solutions and delicate estimations.

Language:

English

Rights:

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

Coverage:

1-8

Source:

Mathematica bohemica | 2011 Volume:136 | Number:1

Harvested from:

CDK

Metadata only:

false