Limit processes in ordinary differential equations

DOI10.1007/BF00945409zbMath0616.34004MaRDI QIDQ1821238

Jiří Jarník, Jaroslav Kurzweil

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

nonlinear oscillationsLie bracketlimit equationdependence on parameter

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (15)

Bounded extremum seeking with discontinuous dithers ⋮ White-Noise Paraxial Approximation for a General Random Hyperbolic System ⋮ Formation Shape Control Based on Distance Measurements Using Lie Bracket Approximations ⋮ Iterated Lie brackets in limit processes in ordinary differential equations ⋮ Extremum seeking with bounded update rates ⋮ Extremum Seeking Control for a Class of Nonholonomic Systems ⋮ Parabolic and white-noise approximations for elastic waves in random media ⋮ Extremum seeking control with an adaptive dither signal ⋮ Lie bracket approximation of extremum seeking systems ⋮ A note on the notion of geometric rough paths ⋮ ISS-like properties in Lie-bracket approximations and application to extremum seeking ⋮ Asymptotic methods in the stability analysis of parametrized homogeneous flows ⋮ Wave Propagation in Periodic and Random Time-Dependent Media ⋮ Unnamed Item ⋮ On the uniform convergence of solutions of Volterra-type controlled systems of integral equations linear in the control

Cites Work

• Generalized ordinary differential equations and continuous dependence on a parameter

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