Triple positive solutions of three-point boundary value problems for p -Laplacian dynamic equations on time scales

• Published in: Journal of computational and applied mathematics Vol. 206; no. 2; pp. 967 - 976
• Main Author: Hong, Shihuang
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 15.09.2007; Elsevier
• Subjects: [formula omitted]-Laplacian; Completely continuous operators; Exact sciences and technology; Fixed points; Functional analysis; Global analysis, analysis on manifolds; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Operator theory; Partial differential equations, boundary value problems; Positive solutions; Sciences and techniques of general use; Time scale; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; p -Laplacian; Positive solutions; 34A34; Completely continuous operators; 39A05; Time scale; Fixed points; 34K10; Existence condition; Time scale; p-Laplacian; Positive solutions; Fixed points; Completely continuous operators; Banach space; Partial differential equation; Non linear operator; P laplacian; Numerical analysis; Sufficient condition; Fix point; Boundary value problem; Fixed point theorem; Applied mathematics; Positive solution; 34K10;34A34;39A05; Positive operator
• ISSN: 0377-0427; 1879-1778
• DOI: 10.1016/j.cam.2006.09.002

In this paper, we present sufficient conditions for the existence of at least three positive solutions of three-point boundary value problems for p -Laplacian dynamic equations on a time scale. To show our main results, we apply a new fixed point theorem due to Avery and Peterson [Three positive fixed points of nonlinear operators on ordered Banach spaces, Comput. Math. Appl. 42 (2001) 313–322].