Plenary Lectures

DOI10.1002/zamm.19930730403zbMath0801.34037OpenAlexW4241500302MaRDI QIDQ4292584

Jean Mawhin

Publication date: 21 November 1994

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19930730403

zbMATH Keywords

existencemultiplicityperiodic solutionsconverse of the Lagrange-Dirichlet stability theoremdifferential equation with periodic nonlinearitiesheteroclinic and rotation type solutionsLyapunov's and Poincaré's concepts

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability for nonlinear problems in mechanics (70K20) Vibrations in dynamical problems in solid mechanics (74H45) Hamilton's equations (70H05) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) History of mathematics in the 19th century (01A55) History of ordinary differential equations (34-03) Lagrange's equations (70H03) History of mechanics of particles and systems (70-03)

Related Items (6)

Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane ⋮ Class of kick-excited self-adaptive dynamical systems: quantized oscillation excitations. ⋮ Solvability of the forced Duffing equation at resonance ⋮ The minimal period problem for the classical forced pendulum equation ⋮ Periodic solutions for nonautonomous second-order systems with bounded nonlinearity ⋮ Periodic solutions of a class of second order functional differential equations

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