Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations (Q1395252)
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scientific article; zbMATH DE number 1940632
| Language | Label | Description | Also known as |
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| English | Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations |
scientific article; zbMATH DE number 1940632 |
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Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations (English)
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1 July 2003
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It is shown that under certain conditions the boundary value problem for an ordinary singularly perturbed integro-differential equation has a solution with an inner intermediate layer (which is a contrast step-tipe structure). An asymptotics of this solution is constructed. The asymptotics is validated by the asymptotic method of differential inequalities developed for a new class of problems.
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boundary value problem
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contrast step-type structure
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asymptotics
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singular perturbation
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integro-differential equation
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method of differential inequalities
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