Existence of positive solutions of p-Laplacian difference equations

Applied Mathematics Letters

Volumn 19, Issue 10, 2006, Pages 1019-1023

  Li, Yongkun ^a   Lu, Linghong ^a  

^a YUNNAN UNIVERSITY   (China)

Author keywords

Boundary value problem; p Laplacian; Positive solution

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; MATHEMATICAL TECHNIQUES; NUMERICAL METHODS; THEOREM PROVING;

FIXED POINT THEOREM; P-LAPLACIAN; POSITIVE SOLUTION;

DIFFERENCE EQUATIONS;

EID: 33745192270     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.10.020     Document Type: Article

References (7)

1. He Z. On the existence of positive solutions of p-Laplacian difference equations. J. Comput. Appl. Math. 161 (2003) 193-201
2. 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
3. Agarwal R.P., O'Regan, and D. A fixed-point approach for nonlinear discrete boundary value problem. Comput. Math. Appl. 36 10-12 (1998) 115-121
4. Cabada A. Extremal solutions for the difference φ{symbol}-Laplacian problem with nonlinear functional boundary conditions. Comput. Math. Appl. 42 (2001) 593-601
5. Cabada A., and Otero-Espinar V. Existence and comparison results for difference φ{symbol}-Laplacian boundary value problem with lower and upper solutions in reverse order. J. Math. Anal. Appl. 267 (2002) 501-521
6. Leggett R., and Williams L. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28 (1979) 673-688
7. Avery R.I., and Henderson J. Two positive fixed points of nonlinear operators on ordered Banach spaces. Comm. Appl. Nonlinear Anal. 8 (2001) 27-36