Asymptotic of a solution of contrast-structure type

DOI10.1007/BF01137452zbMath0725.34061MaRDI QIDQ2277628

A. B. Vasil'eva, V. F. Butuzov

Publication date: 1987

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

zbMATH Keywords

small positive parameternonautonomous equation of second ordersaddle- type stationary point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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Internal layer solution of singularly perturbed optimal control problem with integral boundary condition ⋮ Asymptotic stability of solutions of singularly perturbed boundary value problems with boundary and internal layers ⋮ Solutions with spikes for quasilinear boundary value problems ⋮ Nonstationary fronts in the singularly perturbed power-society model ⋮ Singularly perturbed problems and the Painlevé paradox ⋮ On moving spike type internal layers in nonlinear singularly perturbed problems ⋮ The step-type contrast structure for high dimensional Tikhonov system with Neumann boundary conditions ⋮ On step-like contrast structure of singularly perturbed systems ⋮ Asymptotics of a Spike type contrast structure in a problem with a multiple root of the degenerate equation

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