A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations.
Vrabel, Robert (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Existence and uniqueness for one-phase Stefan problems of nonclassical heat equations with temperature boundary condition at a fixed face.”
A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations.
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Asymptotic behavior of solutions to a reaction-diffusion system with a cross diffusion matrix on unbounded domains.
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Boundary layer phenomenon for three -point boundary value problem for the nonlinear singularly perturbed systems
Robert Vrabel (2011)
Kybernetika
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This paper deals with the three-point boundary value problem for the nonlinear singularly perturbed second-order systems. Especially, we focus on an analysis of the solutions in the right endpoint of considered interval from an appearance of the boundary layer point of view. We use the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear systems considered here.