On the coupling of elliptic and hyperbolic nonlinear differential equations

In this paper we investigate an interface problem with singular perturbation on a subinterval. We first establish a lemma of lower and upper solutions which is an extension of the classical theory of lower and upper solutions. Based on the basic lemma we obtain the existence of a solution to the proposed problem, and the asymptotic behavior of solution as the singular perturbation parameter ε → 0 + as well.

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On the coupling of elliptic and hyperbolic nonlinear differential equations

Cited by 2 publications

References 4 publications

Singular Perturbation on a Subdomain

Singular Perturbation on a Subdomain

An interface problem with singular perturbation on a subinterval

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