Inverse Problems in Ordinary Differential Equations and Applications

Häftad, Engelska, 2018

Av Jaume Llibre, Rafael Ramírez, Rafael Ramirez

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This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties.

Produktinformation

Utgivningsdatum2018-04-24
Mått155 x 235 x 16 mm
Vikt429 g
FormatHäftad
SpråkEngelska
SerieProgress in Mathematics
Antal sidor266
FörlagBirkhauser Verlag AG
ISBN9783319799353

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Beräkning och matematisk analys inom Naturvetenskap och teknik

Preface.- 1.Differential Equations with Given Partial and First Integrals.- 2.Polynomial Vector Fields with Given Partial and First Integrals.- 3.16th Hilbert Problem for Algebraic Limit Cycles.- 4.Inverse Problem for Constrained Lagrangian Systems.- 5.Inverse Problem for Constrained Hamiltonian Systems.- 6.Integrability of the Constrained Rigid Body.- 7.Inverse Problem in the Vakonomic Mechanics.- Index.- Bibliography.

“The book presents a new approach to … inverse problems, where the authors mainly use as an essential tool the Nambu bracket. They deduce new properties of this bracket, which plays a fundamental role in the proof of all the results and in their applications throughout the book. … The book is well written and contains new and valuable results in the development of the inverse problem in ordinary differential equations and its applications.” (Leonardo Colombo, Mathematical Reviews, January, 2017)