Existence of positive solutions for n + 2 order p-Laplacian BVP

Computers and Mathematics with Applications

Volumn 53, Issue 9, 2007, Pages 1367-1379

  Yu, Shiueh Ling ^a   Wong, Fu Hsiang ^b   Yeh, Cheh Chih ^c   Lin, Shang Wen ^d  

^a ST JOHN'S UNIVERSITY   (Taiwan)

^b NATIONAL TAIPEI UNIVERSITY OF EDUCATION   (Taiwan)

^c LUNGHWA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^d TAMKANG UNIVERSITY   (Taiwan)

Author keywords

Existence of positive solutions; n + 2 order BVP; p Laplacian

Indexed keywords

BOUNDARY VALUE PROBLEMS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

P-LAPLACIAN BVP; POSITIVE SOLUTIONS;

LAPLACE EQUATION;

EID: 34248589354     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.05.023     Document Type: Article

References (18)

1. Agarwal R.P., and Wong F.H. Existence of positive solutions for non-positive higher order BVPs. Comput. Appl. Math. 88 (1998) 3-14
2. Agarwal R.P., and Wong F.H. Existence of solutions to (k, n - k - 2) boundary value problems. Appl. Math. Comput. 104 (1999) 33-55
3. Graef J.R., and Yang B. On a nonlinear boundary-value problem for fourth-order equations. Appl. Anal. 72 (1999) 439-448
4. Graef J.R., and Yang B. Existence and non-existence of positive solutions of fourth-order nonlinear boundary-value problem. Appl. Anal. 74 (2000) 201-214
5. Ma R.Y., and Wong H.Y. On the existence of positive solutions of fourth-order ordinary differential equations. Appl. Anal. 59 (1995) 225-231
6. Zhang B.G., and Kong L.Z. Multiple positive solutions of a class of p-Laplacian equations. Ann. of Math. 6 (2001) 1-6 (in Chinese)
7. Eloe P.W., Henderson J., and Kaufmann E. Mutliple positive solutions for difference equation. J. Difference. Equ. Appl. 3 (1998) 219-229
8. Ma R.Y. Positive solutions of nonlinear three point boundary value problem. Electron. J. Differential Equations 34 (1998) 1-8
9. Ma R.Y. Existence theorems for a second order three point boundary value problem. J. Math. Anal. Appl. 212 (1997) 430-442
10. Wong F.H. An application of Schauder's fixed point theorem with respect to higher order BVPs. Proc. Amer. Math. Soc. 126 (1998) 2389-2397
11. Nhang B.G., and Kong L.Z. Multiple solutions of a class of p-laplacian equations. Ann. of Math. 6 (2001) 1-6 (in Chinese)
12. Feng W., and Webb J.R.L. Solvability of a three point nonlinear boundary value problems at resonance. Nonlinear Anal. TMA 30 6 (1997) 3227-3238
13. Ma Y.R., and Castaneta N. Existence theorems for a second order three point boundary value problem. J. Math. Anal. Appl. 256 (2001) 556-567
14. Gupta C.P. Solvability of a three point nonlinear boundary value problems for a second order ordinary differential equation. J. Math. Anal. Appl. 168 (1992) 540-551
15. Gupta C.P., and Trofimchuk S. Existence of a solution to a three point nonlinear boundary value problems and the special radius of a related linear operator. Nonlinear Anal. TMA 34 (1998) 498-507
16. Wong F.H., Lian W.C., Lin S.W., and Yu S.L. Existence of periodic solutions of high order differential equations. Math. Comput. Modelling 21 (2005) 215-225
17. Liu Y.J., and Ge W.G. Solvabiltiy of a nonlinear four point boundary value problem for a fourth order differential equation. Taiwanese J. Math. 7 4 (2003) 591-604
18. Avery R.I., Chyan C.J., and Henderson J. Twin solutions of boundary value problem for ordinary difference equations and finite difference equations. Comput. Math. Appl. 42 (2001) 695-704