Existence of solutions to p-Laplacian difference equations under barrier strips conditions
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Date
2007-04-22
Authors
Gao, Chenghua
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We study the existence of solutions to the boundary-value problem
∆(φp(∆u(k - 1))) = ƒ(k, u(k), ∆u(k)), k ∈ T[1,N],
∆u(0) = A, u(N + 1) = B,
with barrier strips conditions, where N > 1 is a fixed natural number, φp(s) = |s|p-2s, p > 1.
Description
Keywords
Second-order p-Laplacian difference equation, Barrier strips, Leray-Schauder principle, Existence
Citation
Gao, C. (2007). Existence of solutions to p-Laplacian difference equations under barrier strips conditions. <i>Electronic Journal of Differential Equations, 2007</i>(59), pp. 1-6.
Rights
Attribution 4.0 International