Generalized solution of nonlinear nonlocal singularly perturbed problems with two parameters

Abstract

In this paper, we discuss a class of higher order nonlinear nonlocal singularly perturbed boundary value problems with two parameters. Under suitable conditions, we use the fixed-point theorem to study the existence of a generalized solution. Moreover, with the help of the singular perturbation method, we gain the uniformly valid asymptotic representation of the solution.

Keywords

Singular perturbation / asymptotic expansion / uniformly valid

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