Positive solutions for p-Laplacian functional dynamic equations on time scales

Nonlinear Analysis, Theory, Methods and Applications

Volumn 66, Issue 9, 2007, Pages 1989-1998

  Song, Changxiu ^a,b   Xiao, Cuntao ^b  

^a SOUTH CHINA NORMAL UNIVERSITY   (China)

^b GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Boundary value problem; Fixed point theorem; p Laplacian functional dynamic equations; Positive solutions; Time scale

Indexed keywords

BOUNDARY VALUE PROBLEMS; FUNCTION EVALUATION; THEOREM PROVING;

FIXED POINT THEOREM; P-LAPLACIAN FUNCTIONAL DYNAMIC EQUATIONS; POSITIVE SOLUTIONS; TIME SCALE;

NONLINEAR EQUATIONS;

EID: 33846906884     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.02.036     Document Type: Article

References (11)

1. Avery R.I., and Henderson J. Existence of three positive pseudo-symmetric solutions for a one-dimensionalp-Laplacian. J. Math. Anal. Appl. 277 (2003) 395-404
2. Liu Y.J., and Ge W.G. Twin positive solutions of boundary value problems for finite difference equations withp-Laplacian operator. J. Math. Anal. Appl. 278 2 (2003) 551-561
3. Cabada A. Extremal solutions for the difference φ{symbol}-Laplacian problem with nonlinear functional boundary conditions. Comput. Math. Appl. 42 (2001) 593-601
4. Wong F.H. Existence of positive solutions for m-Laplacian. Bvps, Appl. Math. Lett. 12 (1999) 11-17
5. Kaufmann E.R. Positive solutions of a three-point boundary value problem on a time scale. Electron. J. Differential Equations 82 (2003) 1-11
6. Kaufmann E.R., and Raffoul Y.N. Positive solutions of nonlinear functional dynamic equation on a time scale. Nonlinear Stud. 62 (2005) 1267-1276
7. Avery R.I., Chyan C.J., and Henderson J. Twin positive solutions of boundary value problem for ordinary differential equations and finite difference equations. Comput. Math. Appl. 42 (2001) 695-704
8. He Z. Double positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales. J. Comput. Appl. Math. 182 (2005) 304-315
9. Bohner M., and Peterson A. Dynamic Equations on Time Scales, An introduction with Applications (2001), Birkhäuser, Boston
10. Agarwal R.P., and Bohner M. Basic calculus on time scales and some of its applications. Results Math. 35 (1999) 3-22
11. Hilger S. Analysis on measure chains-a unified approach to continuous and discrete calculus. Results Math. 35 (1990) 18-56