A method of holomorphic generalization of singularly perturbed problems

DOI10.3103/S1066369X17060068zbMath1385.65050OpenAlexW2615951554MaRDI QIDQ682312

V. I. Kachalov

Publication date: 14 February 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17060068

zbMATH Keywords

initial value problemhomomorphism, pseudo-holomorphic solution, holomorphic regularizationsingularly perturbed nonlinear second-order ODEs

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (1)

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

Cites Work

• Nonsmooth eigenfunctions in problems of mathematical physics
• Asymptotic solutions of Fredholm integro-differential equations with rapidly varying kernels and irreversible limit operator
• Algebraic foundations of the theory of singularly perturbed equations
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