Abstract and Applied Analysis

Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with $p$-Laplacian

Abstract

We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem with $p$-Laplacian. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by using the monotone iterative technique. Meanwhile, as an application of our result, an example is given.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 192509, 12 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393444385

Digital Object Identifier
doi:10.1155/2013/192509

Mathematical Reviews number (MathSciNet)
MR3064408

Zentralblatt MATH identifier
1304.34046

Citation

Li, Dan; Wang, Libo; Pei, Minghe. Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with $p$ -Laplacian. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 192509, 12 pages. doi:10.1155/2013/192509. https://projecteuclid.org/euclid.aaa/1393444385

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