On the uniqueness of positive solutions for two-point boundary value problems of Emden-Fowler differential equations

Title:

On the uniqueness of positive solutions for two-point boundary value problems of Emden-Fowler differential equations

Creator:

Tanaka, Satoshi

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4aaf1a4c-d8d0-4ae1-8d91-fec96c5db45c
uuid:4aaf1a4c-d8d0-4ae1-8d91-fec96c5db45c
doi:10.21136/MB.2010.140696

Subject:

uniqueness, positive solution, two-point boundary value problem, and Emden-Fowler equation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The two-point boundary value problem u ′′ + h(x)u p = 0, a < x < b, u(a) = u(b) = 0 is considered, where p > 1, h ∈ C 1 [0, 1] and h(x) > 0 for a ≤ x ≤ b. The existence of positive solutions is well-known. Several sufficient conditions have been obtained for the uniqueness of positive solutions. On the other hand, a non-uniqueness example was given by Moore and Nehari in 1959. In this paper, new uniqueness results are presented.

Language:

English

Rights:

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

Coverage:

189-198

Source:

Mathematica bohemica | 2010 Volume:135 | Number:2

Harvested from:

CDK

Metadata only:

false