Asymptotic solution of the Cauchy problem for a first-order equation with a small parameter in a Banach space. The regular case

DOI10.1134/S0001434618030069zbMath1396.34040OpenAlexW2801132793WikidataQ129974620 ScholiaQ129974620MaRDI QIDQ722148

Publication date: 23 July 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618030069

zbMATH Keywords

asymptotic solution asymptotic expansion small parameter Cauchy problem regular perturbation Fredholm operator boundary-layer function cascade decomposition differential equation in a Banach space

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (7)

ASYMPTOTIC SOLUTION OF THE DIRICHLET PROBLEM FOR A RING, WHEN THE CORRESPONDING UNPERTURBED EQUATION HAS A REGULAR SPECIAL CIRCLE ⋮ Solving a second-order algebro-differential equation with respect to the derivative ⋮ Singular perturbations in first-order partial differential equations with matrix differential operators ⋮ Boundary layer phenomenon for a first order descriptor equation with small parameter on the right-hand side ⋮ Initial-boundary value problem for perturbed third order partial differential equations ⋮ Asymptotic solution of the Cauchy problem for a first-order differential equation with a small parameter in a Banach space ⋮ Asymptotic solution of the Cauchy problem for the ﬁrst-order equation with perturbed Fredholm operator

Cites Work

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