Pseudoholomorphic and \(\varepsilon \)-pseudoregular solutions of singularly perturbed problems

DOI10.1134/S0012266122030065zbMath1500.34050WikidataQ115248822 ScholiaQ115248822MaRDI QIDQ2671941

V. I. Kachalov

Publication date: 7 June 2022

Published in: Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

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• A method of holomorphic generalization of singularly perturbed problems
• Asymptotic and pseudoholomorphic solutions of singularly perturbed differential and integral equations in the Lomov's regularization method
• On a nonlinear differential equation in a Banach space

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