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Darboux Problem with a Discontinuous Right-Hand Side
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P. Pikuta
Published/Copyright:
June 9, 2010
Abstract
We prove an existence theorem for the Darboux Problem uxy(x, y) = g(u(x, y)), u(x, 0) = u(0, y) = 0, where g is bounded and measurable.
Key words and phrases.: Discontinuous Darboux Problem; functional differential equations
Received: 2003-05-30
Revised: 2005-05-13
Published Online: 2010-06-09
Published in Print: 2006-June
© Heldermann Verlag
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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
