Three positive solutions of boundary value problems for p-Laplacian difference equations

Computers and Mathematics with Applications

Volumn 55, Issue 9, 2008, Pages 1943-1949

  Wang, Da Bin ^a   Guan, Wen ^a  

^a LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Boundary value problem; Cone; Difference equation; Fixed point theorem; Positive solution

Indexed keywords

DIFFERENCE EQUATIONS; THEOREM PROVING;

FIXED POINT THEOREM; POSITIVE SOLUTION;

BOUNDARY VALUE PROBLEMS;

EID: 41049095457     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.08.033     Document Type: Article

References (17)

1. Agarwal R.P. Difference Equations and Inequalities (1992), Marcel Dekker, New York
2. Agarwal R.P., and Wong P.J.Y. Advanced Topics in Difference Equations (1997), Kluwer Academic, Dordrecht
3. Kelley W.G., and Peterson A.C. Difference Equations (1991), Academic Press, Boston
4. Lakshmikantham V., and Trigiante D. Theory of Difference Equations: Numerical Methods and Applications (1988), Academic Press, New York
5. Agarwal R.P., Bohner M., and Wong P.J.Y. Eigenvalues and eigenfunctions of discrete conjugate boundary value problems. Comput. Math. Appl. 38 3-4 (1999) 159-183
6. Agarwal R.P., and Henderson J. Positive solutions and nonlinear eigenvalue problems for third-order difference equations. Comput. Math. Appl. 36 10-12 (1998) 347-355
7. Agarwal R.P., and Wong F.H. Existence of positive solutions for higher order difference equations. Appl. Math. Lett. 10 5 (1997) 67-74
8. Henderson J. Positive solutions for nonlinear difference equations. Nonlinear Stud. 4 1 (1997) 29-36
9. He Z.M. On the existence of positive solutions of p-Laplacian difference equations. J. Comput. Appl. Math. 161 (2003) 193-201
10. He Z.M., and Yu J.S. On the existence of positive solutions of fourth-order difference equations. Appl. Math. Comput. 161 (2005) 139-148
11. Li Y.K., and Lu L.H. Existence of positive solutions of p-Laplacian difference equations. Appl. Math. Lett. 19 (2006) 1019-1023
12. Merdivenci F. Two positive solutions of a boundary value problem for difference equations. J. Difference Equ. Appl. 1 (1995) 263-270
13. Sun J.P., and Li W.T. Multiple positive solutions of a discrete difference system. Appl. Math. Comput. 143 (2003) 213-221
14. Wong P.J.Y. Positive solutions of difference equations with two-point right focal bounary conditions. J. Math. Anal. Appl. 224 (1998) 34-58
15. Wong P.J.Y., and Agarwal R.P. Further results on fixed-sign solutions for a system of higher-order difference equations. Comput. Math. Appl. 42 3-5 (2001) 497-514
16. Avery R.I., and Henderson J. Existence of three positive pseudo-symmetric solutions for a one-dimensional p-Laplacian. J. Math. Anal. Appl. 277 (2003) 395-404
17. Leggett R.W., and Williams L.R. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28 (1979) 673-688