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Existence of Solutions for Nonlocal Boundary Value Problem with Singularity in Phase Variables
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Y. Tian
Published/Copyright:
June 9, 2010
Abstract
In this paper, we prove existence results for singular problem
Here the positive Carathédory function ƒ may be singular at the zero value of all its phase variables. Proofs are based on the Leray-Schauder degree and Vitali's convergence theorem.
Key words and phrases.: Singular higher-order differential equation; regularization; Vitali's convergence theorem
Received: 2004-12-06
Published Online: 2010-06-09
Published in Print: 2006-June
© Heldermann Verlag
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Keywords for this article
Singular higher-order differential equation;
regularization;
Vitali's convergence theorem
Articles in the same Issue
- Non-Cohen Oracle C.C.C.
- An Elastic Contact Problem with Adhesion and Normal Compliance
- Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening
- A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
- A Note on Stability of Solutions for Abstract Semilinear Dirichlet Problems
- Uniform Bounds for Bessel Functions
- Existence of Solutions for Nonlocal Boundary Value Problem with Singularity in Phase Variables
- On an Asymptotic Boundary Value Problem for Second Order Differential Equations
- Minimax Inequality and Equilibria with a Generalized Coercivity
- Products of Strong Świa̧tkowski Functions
- Darboux Problem with a Discontinuous Right-Hand Side
