2006-08-02Buch DOI: 10.18452/2727
Internal Layer Solutions in Quasilinear Integro-Differential Equations
The Dirichlet boundary value problem for a class of singularly perturbed quasilinear integro-differential equations is considered. The asymptotic expansion for a new class of solutions, which have internal layers, is constructed. Theorems on existence, local uniqueness and asymptotic stability of such internal layer solutions are proved.
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