Krylov–Bogolyubov averaging
Copyright policy )Krylov–Bogolyubov averaging
Abstract A modified approach to the classical Krylov– Bogolyubov averaging method is presented. It was developed recently for studying partial differential equations, enables one to treat Lipschitz perturbations of linear systems with purely imaginary spectrum, and may be generalized to the case of systems of PDEs with small non-linearities. Bibliography: 10 titles.
- Sorbonne Paris Cité France
- Sorbonne University France
- UNIVERSITE PARIS DESCARTES France
- Fudan University China (People's Republic of)
- University of Paris France
Averaging method for ordinary differential equations, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], averaging method, FOS: Physical sciences, Dynamical Systems (math.DS), Mathematical Physics (math-ph), locally Lipschitz vector-field, Krylov-Bogolyubov method, Hamiltonian equations, Lipschitz perturbations, FOS: Mathematics, Mathematics - Dynamical Systems, Mathematical Physics
Averaging method for ordinary differential equations, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], averaging method, FOS: Physical sciences, Dynamical Systems (math.DS), Mathematical Physics (math-ph), locally Lipschitz vector-field, Krylov-Bogolyubov method, Hamiltonian equations, Lipschitz perturbations, FOS: Mathematics, Mathematics - Dynamical Systems, Mathematical Physics
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