Existence and Uniqueness Results for Difference Φ-Laplacian Boundary Value Problems

K. L. Bondar, V. C. Borkar, S. T. Patil


This paper is devoted to study the existence and uniqueness of solutions to nonlinear difference Φ-Laplacian boundary value problems with mixed and Dirichlet boundary conditions.

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Cabada, A., Otero-Espinar, V. & Pouso, R.L., Existence and Approximation of Solutions for Discontinuous First Order Difference Problems with Nonlinear Functional Boundary Conditions in The Presence of Lower and Upper Solutions, Comput. Math. Appl., 39, 21-33, 2000.

Cabada, A. & Otero-Espinar, V., Optimal Existence Results for nth Order Periodic Boundary Value Difference Problems, J. Math. Anal. Appl., 247, 67-86, 2000.

Cabada, A. & Otero-Espinar, V., Comparison Results for nth Order Periodic Difference Equations, Nonlinear Anal., 47, 2395-2406, 2001.

Henderson, J., Existence Theorem for Boundary Value Problems for nth Order Nonlinear Difference Equations, SIAM. J. Math., 20, 468-478, 1989.

Dang, H. & Oppenheimer, S.F., Existence and Uniqueness Results for Some Nonlinear Boundary Value Problems, J. Math. Anal. Appl., 198, 35-48, 1996.

Peterson, A., Existence and Uniqueness for Nonlinear Difference Equations, J. Math. Anal. Appl., 125, 185-191, 1987.

Cabada, A., Extermal Solutions for The Difference ƒÖ-Laplacian Problem with Nonlinear Functional Boundary Conditions, Comput. Math. Appl. 42(35), 593-601, 2001.

Cabada, A., Habets, P. & Pouso, R.L., Optimal Existence Conditions for ƒÖ-Laplacian Equations with Upper and Lower Solutions in The Reversed Order, J. Differential Equations, 166, 385-40, 2000.

Cabada, A. & Otero-Espinar, V., Existence and Comparision Results for Difference ƒÖ-Laplacian Boundary Value Problems with Lower and Upper Solutions in Reverse Order, J. Math. Anal. Appl., 267, 501-521, 2002.

DOI: http://dx.doi.org/10.5614%2Fitbj.sci.2011.43.1.5


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