Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator

By Yuji Liu, Weigao Ge. 2003

91 citations recorded by the source corpus.

Abstract In this paper, a new twin fixed point theorem is applied to obtain the existence of at least two positive solutions for the boundary value problem Δ φ p Δu(k) +a(k)f u(k) =0, k∈{0,…,N},Δu(N+1)=0, u(0)−B 0 Δu(0) =0. In addition, two corollaries and an example are given to illustrate the main results.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0819e00e772c3c7998d0ecd58559894714d1cca2

How researchers see this paper

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In Applied Mathematics

1. Wan-Tong Li
2. Hong‐Rui Sun
3. Zhimin He
4. Yong-Hong Fan

In Numerical Analysis

1. Wan-Tong Li
2. Hong‐Rui Sun
3. Zhimin He

Citations in the corpus

• Double positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales (2005, background): “Applications of this fixed point theorem can be found in recent papers [12,15,19,20] .”
• Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales (2007, methodology): “[34] and Wang [40] in the case T = R; Liu and Ge [33], Avery, Chyan and Henderson [12] (p = 2) in the case T = Z.”