An averaging theorem for distributed conservative systems and its application to von Kármán's equations

DOI10.1016/0021-8928(89)90002-6zbMath0722.73039OpenAlexW2061826679MaRDI QIDQ756492

Sergej B. Kuksin

Publication date: 1989

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(89)90002-6

zbMATH Keywords

Krylov-Bogolyubov-Mitropols'kij typeoscillatory processesspatially- multidimensional conservative systems

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Averaging method for ordinary differential equations (34C29) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (3)

Strong nonresonance of Schrödinger operators and an averaging theorem ⋮ Unnamed Item ⋮ Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems

Cites Work

• Les equations de von Kármán
• Approximate equations for waves in media with small nonlinearity and dispersion
• Asymptotic and geometric quantization
• On nonlinear tensor functions in the theory of relativity
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