First-order three-point boundary value problems at resonance

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article; Proceedings Paper

Mohamed, Mesliza¹  Thompson, Bevan²  Jusoh, Muhammad Sufian³ 

[1] Univ Teknol MARA UiTM Malaysia, Fak Sains Komputer Dan Matemat, Shah Alam 40450, Selangor, Malaysia

[2] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia

[3] Univ Teknol MARA UiTM Malaysia, Fak Kejuruteraan Awam, Shah Alam 40450, Selangor, Malaysia

关键词: First order;    Three-point boundary value problem;    Brouwer's Fixed Point Theorem;    At resonance;   

DOI  :  10.1016/j.cam.2010.10.029

来源: Elsevier

【 摘 要 】

We consider three-point boundary value problems for a system of first-order equations in perturbed systems of ordinary differential equations at resonance. We obtain new results for the above boundary value problems with nonlinear boundary conditions. The existence of solutions is established by applying a version of Brouwer's Fixed Point Theorem which is due to Miranda. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free