Perturbations Near Zero of the Leading Coefficient of Solutions to a Nonlinear Differential Equation

DOI10.2307/2046277zbMath0644.34023OpenAlexW4249134725MaRDI QIDQ3786762

Vadim Komkov

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046277

zbMATH Keywords

gyroscopic systemscelestial dynamicsselfadjoint second order equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Complex behavior and chaotic systems of ordinary differential equations (34C28) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Cites Work

• On the admissibility of application of precession equations of gyroscopic systems
• Introduction to model theory and to the metamathematics of algebra
• Asymptotic behavior of non-linear differential equations via non-standard analysis. Part III. Boundedness and monotone behavior of the equation (a(t)φ(x)x')' + c(t)f(x) = q(t)
• Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0

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