Existence of Three Positive Pseudo-symmetric Solutions for a One Dimensional Discrete p-Laplacian |
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| Authors: | Richard Avery Johnny Henderson |
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| Affiliation: | 1. College of Natural Sciences , Dakota State University , 57042, Madison, SD, USA rich.avery@dsu.edu;3. Department of Mathematics , Baylor University , 76798-7328, Waco, TX, USA |
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| Abstract: | We apply the Five Functionals Fixed Point Theorem to verify the existence of at least three positive pseudo-symmetric solutions for the discrete three point boundary value problem, ?(g(?u(t-1)))+a(t))f(u(t))=0, for t∈{a+1,…,b+1} and u(a)=0 with u(v)=u(b+2) where g(v)=|v| p-2 v, p>1, for some fixed v∈{a+1,…,b+1} and σ=(b+2+v)/2 is an integer. |
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| Keywords: | Fixed-point theorems Difference equations One-dimensional p-Laplacian Multiple solutions Cone 34B10 |
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