Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 357651, 14 pages.

First-Order Three-Point Boundary Value Problems at Resonance Part III

Mesliza Mohamed, Bevan Thompson, and Muhammad Sufian Jusoh

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Abstract

The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. By employing the implicit function theorem, sufficient conditions for the existence of three-point boundary value problems are established.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 357651, 14 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357180291

Digital Object Identifier
doi:10.1155/2012/357651

Mathematical Reviews number (MathSciNet)
MR2910903

Zentralblatt MATH identifier
1244.34022

Citation

Mohamed, Mesliza; Thompson, Bevan; Jusoh, Muhammad Sufian. First-Order Three-Point Boundary Value Problems at Resonance Part III. J. Appl. Math. 2012, Special Issue (2012), Article ID 357651, 14 pages. doi:10.1155/2012/357651. https://projecteuclid.org/euclid.jam/1357180291


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