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Warianty tytułu
Języki publikacji
Abstrakty
In the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for the following two-point discrete boundary value problem with p-Laplacian: Δ(∅p(Δu(k - 1))) + e(k)f(u(k)) = 0 , k∈ N(1,T) , u(0) - B0 (Δu(0)) = 0 , u(T + 1) + B1 (Δu(T)) = 0. The main tool is the monotone iterative technique.
Wydawca
Czasopismo
Rocznik
Tom
Strony
107--119
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
autor
- College of Science, Tianjin University of Technology, Tianjin 300384, People`s Republic of China, and Department of Mathematics, Beijing Institute of Technology, Beijin 100081, People`s Republic of China, jdh200298@163.com
Bibliografia
- [1] R. I. Avery, C. J. Chyan and J. Henderson, Twin positive solutions of boundary value problem for ordinary differential equations and finite difference equations, Comput. Math. Appl. 42 (2001), 695-704.
- [2] F. Merdivenci, Two positive solutions of a boundary value problem for difference equations, J. Difference Equ. Appl. 1 (1995), 253-270.
- [3] R. P. Agarwal and J. Henderson, Positive solutions and nonlinear problems for third-order difference equations, Comput. Math. Appl. 36 (1998), 347-355.
- [4] Z. C. Hao, Nonnegative solutions for semilinear third-order difference equation boundary value problems, Acta Math. Sci. 21A(2) (2001), 225-229 (in Chinese).
- [5] P. W. Eloe, A generalization of concavity for finite differences, J. Math. Anal. Appl. 36 (10-12) (1998), 109-113.
- [6] S. D. Lauer, Multiple solutions to a boundary value problem for an n-th order nonlinear difference equation (Differential Equations and Computational Simulations III), Electron. J. Differential Equations, Conference 01 (1997), 129-136.
- [7] Y. Li and L. Lu, Existence of positive solutions of p-Laplacian difference equations, Appl. Math. Lett. 19(2006), 1019-1023.
- [8] Y. Liu and W. Ge, Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator, J. Math. Anal. Appl. 278 (2003), 551-561.
- [9] D. Ma and W. Ge, Existence and iteration of positive pseudo-symmetric solutions for a three-point second-order p-Laplacian BVP, Appl. Math. Lett. 20 (2007), 1244-1249.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD6-0017-0010