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Opis

This book focuses on finding all ordinary differential equations that satisfy a given set of properties, thus dedicating itself to inverse problems of ordinary differential equations. The Nambu bracket acts as the central tool to the authors' approach. The book begins with a characterization of ordinary differential equations in R^N which have a given set of M N partial and first integrals, before addressing planar polynomial differential systems with a given set of polynomial partial integrals. The authors then go on to solve the 16th Hilbert problem (restricted to algebraic limit cycles) based on generic assumptions, followed by a study of the inverse problem for constrained Lagrange mechanics and Hamiltonian systems, as well as the issue of the integrability of a constrained rigid body. The book concludes with an analysis of transpositional relations, a generalization of the Hamiltonian principle, as well as the inverse problem in vakonomic mechanics.§§

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: Inverse Problems in Ordinary Differential Equations and Applications
• Autor: Jaume Llibre, Rafael Ramírez
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 266
• EAN: 9783319263373
• ISBN: 3319263374
• ID: 09925349
• Wydawca: Birkhauser Verlag AG
• Waga: 574 g
• Wymiary: 166 × 241 × 22 mm
• Data wydania: 10. March 2016

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