Singularly perturbed boundary value problems for systems of Tichonov's type in case of exchange of stabilities

DOI10.1006/jdeq.1999.3670zbMath0944.34048OpenAlexW2141573592MaRDI QIDQ1970030

V. F. Butuzov, Nikolai N. Nefedov, Klaus R. Schneider

Publication date: 11 September 2000

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

Full work available at URL: https://semanticscholar.org/paper/76e70ca99e88553078c778d57408458c337955a0

zbMATH Keywords

singular pointssecond-order equationsdegenerate solutions``fast-``slow solutionsintersecting solutionsTikhonov's theory

Mathematics Subject Classification ID

Singular nonlinear boundary value problems for ordinary differential equations (34B16) Singular perturbations for ordinary differential equations (34E15)

Related Items (6)

Existence and asymptotic stability of a stationary solution of a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation ⋮ Nonlinear Ritz method and the motion of defects ⋮ SINGULARLY PERTURBED REACTION-DIFFUSION SYSTEMS IN CASES OF EXCHANGE OF STABILITIES ⋮ Existence and location results for fully nonlinear boundary value problem of \(n\)th-order nonlinear system ⋮ On a singularly perturbed system of two second-order equations in the case of intersecting roots of the degenerate equation ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit

Cites Work

• A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability
• Immediate exchange of stabilities in singularly perturbed systems
• Nonlinear singular perturbation phenomena: theory and applications
• Subfunction and second-order ordinary differential inequalities
• Nonlinear elliptic boundary-value problems in unbounded domains
• Exchange of Stabilities in Autonomous Systems
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