2012Journal of Guangxi Normal UniversityRequires access

Existence and Uniqueness of Solutions for Delay Boundary Value Problems with p-Laplacian on Infinite Intervals

Fan Jiang-hua

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Abstract

This paper is concerned with the existence and uniqueness of solutions for boundary value problems with p-Laplacian delay differential equations on the half-line.The existence of solutions is derived from the Schauder's fixed point theorem,whereas the uniqueness of solution is established by the Banach's contraction principle.An example is given to demonstrate the main results of its application.

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What this paper is about

This paper is concerned with the existence and uniqueness of solutions for boundary value problems with p-Laplacian delay differential equations on the half-line.The existence of solutions is derived from the Schauder's fixed point theorem,whereas the uniqueness of solution is established by the Banach's contraction principle.An example is given to demonstrate the main results of its application.

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Available abstract

This paper is concerned with the existence and uniqueness of solutions for boundary value problems with p-Laplacian delay differential equations on the half-line.The existence of solutions is derived from the Schauder's fixed point theorem,whereas the uniqueness of solution is established by the Banach's contraction principle.An example is given to demonstrate the main results of its application.

Key concepts: Uniqueness, Mathematics, Contraction mapping, Contraction principle, Fixed-point theorem, Boundary value problem, Mathematical analysis, Schauder fixed point theorem

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