Existence of multiple positive solutions of nth-order m-point boundary value problems

Title:

Existence of multiple positive solutions of nth-order m-point boundary value problems

Creator:

Liang, Sihua and Zhang, Jihui

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2becddf0-1d20-4744-9675-7b515644ffb8
uuid:2becddf0-1d20-4744-9675-7b515644ffb8
doi:10.21136/MB.2010.140679

Subject:

boundary-value problems, positive solutions, fixed-point theorem, and cone

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The paper deals with the existence of multiple positive solutions for the boundary value problem (ϕ(p(t)u (n−1))(t))′ + a(t)f(t, u(t), u′ (t), . . . , u(n−2)(t)) = 0, 0 < t < 1, u (i) (0) = 0, i = 0, 1, . . . , n − 3, u (n−2)(0) = mP−2 i=1 αiu (n−2)(ξi), u(n−1)(1) = 0, where ϕ: R → R is an increasing homeomorphism and a positive homomorphism with ϕ(0) = 0. Using a fixed-point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem.

Language:

English

Rights:

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

Coverage:

15-28

Source:

Mathematica bohemica | 2010 Volume:135 | Number:1

Harvested from:

CDK

Metadata only:

false