Asymptotic solution of the Cauchy problem for the first-order equation with perturbed Fredholm operator

DOI10.20310/2686-9667-2020-25-129-48-56zbMath1483.34077OpenAlexW3027837795MaRDI QIDQ5012406

Vladimir Igorevich Uskov

Publication date: 24 November 2021

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu169

zbMATH Keywords

small parameterCauchy problemFredholm operatorboundary layer phenomenonfirst-order differential equationasymptotic expansion of solutiondecomposition 34E05

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Linear differential equations in abstract spaces (34G10) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

Asymptotic solution of the Cauchy problem for a first-order differential equation with a small parameter in a Banach space

Cites Work

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• The role of perturbations in the Cauchy problem for equations with a Fredholm operator multiplying the derivative
• Asymptotic solution of the Cauchy problem for a first-order equation with a small parameter in a Banach space. The regular case
• Investigation of the solution to the Cauchy problem for a singularly perturbed differential equation
• Motion of a rigid body with cavities filled with viscous fluid at small Reynolds numbers
• THE DEVELOPMENT AND APPLICATIONS OF THE ASYMPTOTIC METHOD OF LYUSTERNIK AND VISHIK

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