On the Existence of Positive Solutions of Resonant and Nonresonant Multipoint Boundary Value Problems for Third-Order Nonlinear Differential Equations | Zendy

Liu Yang | Zendy; Chunfang Shen | Zendy; Dapeng Xie | Zendy; Xiping Liu | Zendy

Open Access

On the Existence of Positive Solutions of Resonant and Nonresonant Multipoint Boundary Value Problems for Third-Order Nonlinear Differential Equations

Author(s) -

Liu Yang,

Chunfang Shen,

Dapeng Xie,

Xiping Liu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/687595

Subject(s) - mathematics , boundary value problem , nonlinear system , mathematical analysis , fixed point theorem , norm (philosophy) , order (exchange) , third order , boundary values , physics , quantum mechanics , philosophy , theology , finance , political science , law , economics

Positive solutions for a kind of third-order multipoint boundary value problem under the non-resonant conditions and the resonant conditions are considered. In the nonresonant case, by using Leggett-Williams fixed-point theorem, the existence of at least three positive solutions is obtained. In the resonant case, by using Leggett-Williams norm-type theorem due to O’Regan and Zima, existence result of at least one positive solution is established. The results obtained are valid and new for the problem discussed. Two examples are given to illustrate the main results

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research