Existence and iteration of positive pseudo-symmetric solutions for a three-point second-order p-Laplacian BVP

Applied Mathematics Letters

Volumn 20, Issue 12, 2007, Pages 1244-1249

  Ma, De Xiang ^a   Ge, Wei Gao ^b  

^a NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Iteration; p Laplacian; Pseudo symmetric solution; Three point boundary value problem

Indexed keywords

BOUNDARY VALUE PROBLEMS; LAPLACE EQUATION; THEOREM PROVING;

P LAPLACIAN; PSEUDO SYMMETRIC SOLUTION; THREE POINT BOUNDARY VALUE PROBLEM;

ITERATIVE METHODS;

EID: 34548589840     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2006.05.025     Document Type: Article

References (16)

1. Il'in V.A., and Moiseev E.I. Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator. Differ. Equ. 23 (1987) 979-987
2. Feng W. On a m-point nonlinear boundary value problem. Nonlinear Anal. 30 (1997) 5369-5374
3. Feng W., and Webb R.L. Solvability of a m-point boundary value problem with nonlinear growth. J. Math. Anal. Appl. 212 (1997) 467-480
4. Gupta C.P. A generalized multi-point boundary value problem for second order ordinary differential equations. Appl. Math. Comput. 89 (1998) 133-146
5. Ma R., and Castaneda N. Existence of solutions for nonlinear m-point boundary value problem. J. Math. Anal. Appl. 256 (2001) 556-567
6. Ma R. Positive solutions of a three-point boundary value problem. Electron. J. Differential Equations 34 (1999) 1-8
7. Eloe P.W., and Ahmad B. Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions. Appl. Math. Lett. 18 (2005) 521-527
8. Wang J., and Zheng D. On the existence of positive solutions to a three-point boundary value problem for the one-dimensional p-Laplacian. Z. Angew. Math. Mech. 77 (1997) 477-479
9. He X., and Ge W. A remark on some three-point boundary value problem for the one-dimensional p-Laplacian. Z. Angew. Math. Mech. 82 (2002) 728-731
10. 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
11. Guo Y., and Ge W. Three positive solutions for the one dimensional p-Laplacian. J. Math. Anal. Appl. 286 (2003) 491-508
12. He X., and Ge W. Twin positive solutions for the one dimensional p-Laplacian boundary value problems. Nonlinear Anal. 56 (2004) 975-984
13. Li J., and Shen J. Existence of three positive solutions for boundary value problems with one dimensional p-Laplacian. J. Math. Anal. Appl. 311 (2005) 457-465
14. Wang Z., and Zhang J. Positive solutions for one dimensional p-Laplacian boundary value problems with dependence on the first order derivative. J. Math. Anal. Appl. 314 (2006) 618-630
15. Wang Y., and Hou C. Existence of multiple positive solutions for one dimensional p-Laplacian. J. Math. Anal. Appl. 315 (2006) 144-153
16. Ma D., Du Z., and Ge W. Existence and iteration of monotone positive solutions for multipoint boundary value problems with p-Laplacian operator. Comput. Math. Appl. 50 (2005) 729-739