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Existence Results of l-Point BVP for Higher Order Differential Equations with One-Dimension p-Laplacian
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Y. Liu
Published/Copyright:
June 9, 2010
Abstract
Motivated by Gupta [A non-resonant multi-point boundary value problem for a p-Laplacian type operator: 143–152, 2003] and Garcia-Huidobro, Gupta, Manasevich [Nonlinear Anal. 56: 1071–1089, 2004], the solvability of multi-point boundary value problems consisting of higher-order differential equations and multi-point boundary conditions are studied in this paper, respectively. Results show us that known theorems are complemented and improved. Numerical examples are presented to demonstrate the main theorems.
Key words and phrases.: Solution; resonance; multi-point boundary value problem; higher order differential equation with p-Laplacian; numerical example
Received: 2007-02-23
Revised: 2008-01-29
Published Online: 2010-06-09
Published in Print: 2008-December
© Heldermann Verlag
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- Uniform Algebras in the Cantor and Baire Spaces
- Bounded Controllers for Uncertain Nonlinear Systems
- On a Refinement Type Equation
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- Existence Results of l-Point BVP for Higher Order Differential Equations with One-Dimension p-Laplacian
- Erratum to the Paper “Sufficiency and Duality in Control Problems with Generalized Invexity”
Keywords for this article
Solution;
resonance;
multi-point boundary value problem;
higher order differential equation with p-Laplacian;
numerical example
Articles in the same Issue
- Functions Preserving Some Types of Series
- On the Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems
- Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function
- Some New Generalizations of Critical Point Theorems for Locally Lipschitz Functions
- Stability of Impulsive Hybrid Set-Valued Differential Equations with Delay by Perturbing Lyapunov Functions
- Existence of Pareto Equilibria for Non-Compact Constrained Multi-Criteria Games
- Uniform Algebras in the Cantor and Baire Spaces
- Bounded Controllers for Uncertain Nonlinear Systems
- On a Refinement Type Equation
- Differential Polynomials Generated by Second Order Linear Differential Equations
- Existence Results of l-Point BVP for Higher Order Differential Equations with One-Dimension p-Laplacian
- Erratum to the Paper “Sufficiency and Duality in Control Problems with Generalized Invexity”
