On a multipoint nonlocal initial value problem for a singularly-perturbed first-order ODE-Reference-Cited by-同舟云学术

On a multipoint nonlocal initial value problem for a singularly-perturbed first-order ODE

Published:2019-01-01 Issue:1 Volume:2019 Page:84-103
ISSN:2544-9990
Container-title:e-Journal of Analysis and Applied Mathematics
language:en
Short-container-title:

Author:

Dovletov Dovlet M.¹

Affiliation:

1. Department of Mathematics , Near East University , Nicosia, TRNC, Mersin 10, Turkey .

Abstract

Abstract A linear first order ordinary differential equation (ODE) with a positive parameter ɛ and a multipoint nonlocal initial value condition (NLIVC) is considered. The existence of a classical solution of the multipoint nonlocal initial value problem (NLIVP) is proved. A uniform on ɛ a priori estimate and asymptotic expansion of smooth solution is obtained. The differential problem with integral kind of NLIVC is considered and reduced to appropriate multipoint NLIVP.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/ejaam-2019-0006

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