Positive Solutions for Systems of Nonlinear Third-Order Differential Equations with p-Laplacian

In this paper, by constructing a special set and utilizing
fixed point theory, we study the existence and multiplicity of the
positive solutions for systems of nonlinear third-order differential
equations with p-laplacian, which improve and generalize the result
of related paper.

Authors:



References:
[1] Li Z. Z.,Ge W. G. Positive Solution for p-Laplacian Singular
Sturm-Liouville Boundary Value Problem Math, Appli, 2002, 15(3);
13-17.
[2] Wong F. H. Existence of Positive Solutions for m-Laplacian Boundary
Value Problem. Appl, Math. Lett, 1999,12:11-17.
[3] Agarwal P. R.,ORegan D., Wong P. J. Wong F. H. Positive
Solutions of Differential, Differential and Integral Equations. Singapore:
Springer-Verlag,2000.
[4] Ni X. H., Ge W. G. Existence of Positive Solutions for One-dimentional
p-Laplacian Coupled Boundary Value Problem. J. Math. Research and
Exposition,2005, 25(3): 489-494.
[5] D. R. Dunninger, H. Y. Wang. Existence and Multiplicity of Positive
Solutions for Ellipyic Systems. Nonlinear Analysis, Theory, Methods
Applications, 1997, 29 (9): 1051-1060.
[6] Cai Z. X., Zhang X. Z. Positive Solutions for Third-order p-Laplacian
Coupled Singular for Boundary Value Problems. ACTA Mathematicae
Applicatae Sinica 2012, 35(3) 421-429.
[7] Guo D. J. Nonlinear Functional Analysis. Jinan Shandong Science
Technical Publishers, 2000.
[8] Wang Y. L., Shi G. W. Positive Solutions of Fourth-order Singular
Superlinear p-Laplacian BVP. ACTA Mathematicae Scientia, 2009,
29A(2): 344-352.