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Main Authors:	Llibre, Jaume 1952- (Author), Ramirez, Rafael (Author)
Format:	Electronic eBook
Language:	English
Published:	[Cham] Birkhäuser [2016]
Edition:	1st ed. 2016
Series:	Progress in mathematics volume 313
Subjects:	Mathematics Differential equations Ordinary Differential Equations Mathematik
Links:	https://doi.org/10.1007/978-3-319-26339-7 https://doi.org/10.1007/978-3-319-26339-7 https://doi.org/10.1007/978-3-319-26339-7 https://doi.org/10.1007/978-3-319-26339-7 https://doi.org/10.1007/978-3-319-26339-7 https://doi.org/10.1007/978-3-319-26339-7 https://doi.org/10.1007/978-3-319-26339-7 https://doi.org/10.1007/978-3-319-26339-7 https://doi.org/10.1007/978-3-319-26339-7 https://doi.org/10.1007/978-3-319-26339-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920305&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920305&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	1 Online-Ressource (XII, 266 Seiten, 9 illus., 8 illus. in color)
ISBN:	9783319263397
ISSN:	0743-1643
DOI:	10.1007/978-3-319-26339-7

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Record in the Search Index

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adam_text	INVERSE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATIONS / LLIBRE, JAUME : 2016 TABLE OF CONTENTS / INHALTSVERZEICHNIS 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. INVERSE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATIONS / LLIBRE, JAUME : 2016 ABSTRACT / INHALTSTEXT 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. THE NAMBU BRACKET IS THE CENTRAL TOOL IN DEVELOPING THIS APPROACH. THE AUTHORS START CHARACTERIZING THE ORDINARY DIFFERENTIAL EQUATIONS IN R^N WHICH HAVE A GIVEN SET OF PARTIAL INTEGRALS OR FIRST INTEGRALS. THE RESULTS OBTAINED ARE APPLIED FIRST TO PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A GIVEN SET OF SUCH INTEGRALS, SECOND TO SOLVE THE 16TH HILBERT PROBLEM RESTRICTED TO GENERIC ALGEBRAIC LIMIT CYCLES, THIRD FOR SOLVING THE INVERSE PROBLEM FOR CONSTRAINED LAGRANGIAN AND HAMILTONIAN MECHANICAL SYSTEMS, FOURTH FOR STUDYING THE INTEGRABILITY OF A CONSTRAINED RIGID BODY. FINALLY THE AUTHORS CONCLUDE WITH AN ANALYSIS ON NONHOLONOMIC MECHANICS, A GENERALIZATION OF THE HAMILTONIAN PRINCIPLE, AND THE STATEMENT AN SOLUTION OF THE INVERSE PROBLEM IN VAKONOMIC MECHANICS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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isbn	9783319263397
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series2	Progress in mathematics
spellingShingle	Llibre, Jaume 1952- Ramirez, Rafael Inverse problems in ordinary differential equations and applications Mathematics Differential equations Ordinary Differential Equations Mathematik
title	Inverse problems in ordinary differential equations and applications
title_auth	Inverse problems in ordinary differential equations and applications
title_exact_search	Inverse problems in ordinary differential equations and applications
title_full	Inverse problems in ordinary differential equations and applications Jaume Llibre, Rafael Ramírez
title_fullStr	Inverse problems in ordinary differential equations and applications Jaume Llibre, Rafael Ramírez
title_full_unstemmed	Inverse problems in ordinary differential equations and applications Jaume Llibre, Rafael Ramírez
title_short	Inverse problems in ordinary differential equations and applications
title_sort	inverse problems in ordinary differential equations and applications
topic	Mathematics Differential equations Ordinary Differential Equations Mathematik
topic_facet	Mathematics Differential equations Ordinary Differential Equations Mathematik
url	https://doi.org/10.1007/978-3-319-26339-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920305&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920305&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT llibrejaume inverseproblemsinordinarydifferentialequationsandapplications AT ramirezrafael inverseproblemsinordinarydifferentialequationsandapplications

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