Solution of Tikhonov's motion-separation problem using the modified Newton-Kantorovich theorem

DOI10.1134/S0965542518020021zbMath1400.34026OpenAlexW2793789865MaRDI QIDQ1644015

A. M. Ter-Krikorov, A. A. Belolipetskii

Publication date: 21 June 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518020021

zbMATH Keywords

existence theoremsystems of ordinary differential equationsmodified Newton-Kantorovich methodTikhonov's problem

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) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Modified Kantorovich theorem and asymptotic approximations of solutions to singularly perturbed systems of ordinary differential equations
• Selection functionals in autonomous models of biological systems with a continuous age and spatial structure
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