Positive solutions for discrete boundary value problems with p-Laplacian

• Autorzy: Ji D. , Ge W.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

discrete boundary value problem; positive solutions; p-Laplacian; iterative

PL

dyskretne zagadnienie brzegowe; pozytywne rozwiązania; p-Laplacian; iteracyjny

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2010
• Tom: Vol. 16, nr 1
• Strony: 107--119
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Ji D.

autor

Ge W.

• 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,

Bibliografia

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• [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.