Unique Solution for a Fourth-Order Boundary Value Problem

Article Preview

Abstract:

This paper mainly concerns the uniqueness of solutions for a fourth order boundary value problem. By virtue of Browder theorem, the main result is obtained when the nonlinearity term f satisfies the Lipschitz condition. The result is new and complement of some previously known results.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 756-759)

Pages:

2918-2921

Citation:

Online since:

September 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Z. Bai, H. Wang, On positive solutions of some nonlinear fourth-order beam equations, J. Math. Anal. Appl., 270(2002), p.357–368.

DOI: 10.1016/s0022-247x(02)00071-9

Google Scholar

[2] Y. Li, Positive solutions of fourth-order boundary value problems with two parameters, J. Math. Anal. Appl., 281(2003), 477–484.

DOI: 10.1016/s0022-247x(03)00131-8

Google Scholar

[3] Y. Yang, J.H. Zhang, Existence of solutions for some fourth-order boundary value problems with parameters, Nonlinear Anal., 69 (2008), p.1364–1375.

DOI: 10.1016/j.na.2007.06.035

Google Scholar

[4] F.Y. Li, Y.H. Li, Z.P. Liang, Existence of solutions to nonlinear Hammerstein integral equations and applications, J. Math. Anal. Appl., 323 (2006), p.209–227.

DOI: 10.1016/j.jmaa.2005.10.014

Google Scholar

[5] F.Y. Li, Z.P. Liang, Q. Zhang, Existence and multiplicity of solutions of a kind of fourth-order boundary value problem, Nonlinear Anal., 62(2005), p.803–816.

DOI: 10.1016/j.na.2005.03.054

Google Scholar

[6] P. Drabek, J. Milota, Methods of Nonlinear Analysis, Applications to Differential Equations, Birkhauser Verlag AG BaselBostonBerlin, (2007).

Google Scholar