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Tytuł artykułu

A generalized upper and lower solution method for singular discrete boundary value problems for the one-dimensional p-Laplacian

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents new existence results for singular discrete boundary value problems for the one-dimension p-Laplacian. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign. Our results are new even for p = 2
Wydawca
Rocznik
Strony
35--47
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
  • Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China
autor
  • Department of Mathematics, National University of Ireland, Galway, Ireland
  • Department of Mathematical Science, Florida Institute of Technology, Melbourne, FL 32901-6975, USA
Bibliografia
  • [1] Agarwal, R. P., O'Regan, D., Nonpositive discrete boundary value problems. Nonlinear Anal. 39 (2000), 207-215.
  • [2] Agarwal, R. P., O'Regan, D., Singular discrete boundary value problems, Appl. Math. Lett. 12 (1999), 127-131.
  • [3] Agarwal, R. P., O'Regan, D., Boundary value problems for discrete equations, Appl. Math. Lett. 10 (1997), 83-89.
  • [4] Agarwal, R. P., O'Regan, D., Singular discrete (n,p) boundary value problems, Appl. Math. Lett. 12 (1999), 113-119.
  • [5] Agarwal, R. P., O'Regan, D., Wong, P. J. Y., Positive Solutions of Differential, Difference and Integral Equations, Kluwer Acad. Publ., Dordrecht, 1999.
  • [6] Agarwal, R. P., O'Regan, D., Singular initial and boundary value problems with sign changing nonlinearities, IMA J. Appl. Math. 65 (2000), 173-198.
  • [7] Agarwal, R. P., O'Regan, D., Some new existence results for singular problems with sign changing nonlinearities, J. Comput. Appl. Math. 113 (2000), 1-15.
  • [8] Agarwal, R. P., O'Regan, D., Lakshmikantham, V., Leela, S., Existence of positive solutions for singular initial and, boundary value problems via, the classical upper and lower solution approach, Nonlinear Anal. 50 (2002), 215-222.
  • [9] Agarwal, R. P., O'Regan, D., Lakshmikantham, V., Leela, S., An upper and, lower-solution theory for singular Emden-Fowler equations, Nonlinear Anal.: Real World Appl. 3 (2002), 275-291.
  • [10] Habets, P., Zanolin, F., Upper and lower solutions for a, generalized, Emden-Fowler equation, J. Math. Anal. Appl. 181 (1994), 684-700.
  • [11] Henderson, J., Singular boundary value problems for difference equations, Dynam. Systems Appl. 1 (1992), 271-282.
  • [12] Henderson, J., Singular boundary value problems for higher order difference equations, World Congress on Nonlinear Analysts 1992 (Tampa, FL, August 1992), Vol I-IV, 1139-1150, de Gruyter, Berlin, 1996.
  • [13] Jiang, D. Q., Upper and lower solutions for a superlinear singular boundary value problem, Comput. Math. Appl. 41 (2001), 563-569.
  • [14] Jiang, D. Q., Upper and lower solutions method, and a superlinear singular boundary value problem for the one-dimension p-Laplacia,n, Comput. Math. Appl. 42 (2001), 927-940.
  • [15] Jiang, D. Q., Gao, W., Upper and lower solution method and a singular boundary value problem for the one-dimension p-Laplacian, J. Math. Anal. Appl. 252 (2000), 631-648.
  • [16] Jiang, D. Q., Pang, P. Y. H., Agarwal, R. P., Upper and lower solutions method, and a superlinear singular discrete boundary value problem, Dynam. Systems Appl. (to appear).
  • [17] Jiang, D. Q., Zhang, L., O'Regan, D., Agarwal, R. P., Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimensional p-Laplacian, Arch. Math. 40 (2004), 367-381.
  • [18] Manasevich, R., Zanolin, F., Time mappings and multiplicity of solutions for the one-dimensional p-Laplacian, Nonlinear Anal. 21 (1993), 269-291.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD4-0001-0014
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