Verfügbarkeit: Systems of evolution equations with periodic and quasiperiodic coefficients

Systems of evolution equations with periodic and quasiperiodic coefficients:

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Bibliographische Detailangaben
Beteiligte Personen:	Mitropolʹskij, Jurij Alekseevič 1917-2008 (VerfasserIn), Samojlenko, Anatolij M. 1938-2020 (VerfasserIn), Martinyuk, D. I. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Dordrecht u.a. Kluwer Acad. Publ. 1993
Schriftenreihe:	Mathematics and its applications / Soviet series 87
Schlagwörter:	Evolutionsgleichung Periodische Lösung Quasiperiodische Lösung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005288575&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XIV, 280 S.
ISBN:	0792320549

Internformat

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Datensatz im Suchindex

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adam_text	CONTENTS Preface xi CHAPTER 1. NUMERICAL ANALYTIC METHOD OF INVESTIGATION OF PERIODIC SOLUTIONS FOR SYSTEMS WITH AFTEREFFECT 1 §1. Notations and Basic Ideas. Auxiliary Lemmas 2 §2. Algorithm for Finding Periodic Solutions of Nonlinear Systems with Lag 6 §3. Existence of Periodic Solutions 13 §4. Construction of an Approximate Periodic Solution 18 §5. Periodic Problem of Control for Systems with Lag 26 §6. The Concrete Example of Application of the Numerical Analytic Method 27 §7. Periodic Solutions of Differential Equations of the Second Order with Retarded Argument 30 §8. Periodic Solutions for Countable Systems of Differential Equations with Lag 38 §9. Periodic Solutions for Nonlinear Systems of Differential Equations of the Neutral Type 42 § 10. Investigation of Periodic Solutions for Some Classes of Systems of Integro Differential Equations 45 §11. Periodic Solutions of Nonlinear Systems of Difference Equations 55 § 12. Bilateral Approximations to Periodic Solutions of Systems with Lag 59 §13. Periodic Solutions of Operator Differential Equations 71 CHAPTER 2. INVESTIGATION OF PERIODIC SOLUTIONS OF SYSTEMS WITH AFTEREFFECT BY BUBNOV GALERKIN S METHOD 77 §1. Preliminary Remarks. Auxiliary Statements 77 §2. Green s Function for the Problem of Periodic Solutions of Linear Systems with Lag. Properties of This Function 83 §3. The Main Properties of the Jacobian Matrix for Determining Equations for Galerkin s Approximations 87 vii viii Contents §4. Existence and Convergence of Bubnov Galerkin s Approximations 93 §5. Existence of Periodic Solutions for Systems of Differential Equations with Lag 98 §6. Applications of Bubnov Galerkin s Method to the Investigation of Periodic Solutions for Some Classes of Systems of Integro Differential Equations 101 CHAPTER 3.QUASIPERIODIC SOLUTIONS OF SYSTEMS WITH LAG. BUBNOV GALERKIN S METHOD 107 §1. Definitions and Auxiliary Statements 107 §2. Construction of Quasiperiodic Solutions of Systems with Lag by Bubnov Galerkin s Method 114 §3. Construction of Quasiperiodic Solutions of Perturbed Systems with Lag by Bubnov Galerkin s Method 123 CHAPTER 4. EXISTENCE OF INVARIANT TOROIDAL MANI¬ FOLDS FOR SYSTEMS WITH LAG. INVESTIGA¬ TION OF THE BEHAVIOR OF TRAJECTORIES IN THEIR VICINITIES 135 §1. Existence of Invariant Toroidal Manifolds with Loss of Smoothness 135 §2. Existence of Lipschitz Tori for Nonlinear Systems with Lag 150 §3. Invariant Toroidal Sets for the Systems of Differential Equations with Lag Under Pulse Influence 169 §4. Behavior of Solutions of Nonlinear Systems with Lag in the Vicinity of Exponentially Stable Toroidal Manifolds 185 CHAPTER 5. REDUCIBILITY OF LINEAR SYSTEMS OF DIFFERENCE EQUATIONS WITH QUASI PERIODIC COEFFICIENTS 201 §1. Statement of the Problem and Auxiliary Statements 201 §2. Theorem on Reducibility 206 §3. Reducibility of Linear Systems of Difference Equations with a Smooth Right Hand Side 214 Contents ix CHAPTER 6. INVARIANT TOROIDAL SETS FOR SYSTEMS OF DIFFERENCE EQUATIONS. INVESTIGATION OF THE BEHAVIOR OF TRAJECTORIES ON TOROI¬ DAL SETS AND IN THEIR VICINITIES 223 §1. Auxiliary Lemmas 223 §2. Periodic Solutions to Some Classes of Functional Equations 229 §3. Existence of Invariant Toroidal Sets for Nonlinear Systems of Difference Equations 236 §4. Reducibility of Systems of Difference Equations on the Toroidal Set 245 §5. Reducibility of Nonlinear Systems of Difference Equations in the Vicinity of the Toroidal Set 253 References 263 Index 279
any_adam_object	1
author	Mitropolʹskij, Jurij Alekseevič 1917-2008 Samojlenko, Anatolij M. 1938-2020 Martinyuk, D. I.
author_GND	(DE-588)104890029 (DE-588)108416569
author_facet	Mitropolʹskij, Jurij Alekseevič 1917-2008 Samojlenko, Anatolij M. 1938-2020 Martinyuk, D. I.
author_role	aut aut aut
author_sort	Mitropolʹskij, Jurij Alekseevič 1917-2008
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bvnumber	BV008038410
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classification_tum	MAT 354f
ctrlnum	(OCoLC)246570331 (DE-599)BVBBV008038410
discipline	Mathematik
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id	DE-604.BV008038410
illustrated	Not Illustrated
indexdate	2024-12-20T09:15:23Z
institution	BVB
isbn	0792320549
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-005288575
oclc_num	246570331
open_access_boolean
owner	DE-12 DE-91 DE-BY-TUM DE-188
owner_facet	DE-12 DE-91 DE-BY-TUM DE-188
physical	XIV, 280 S.
publishDate	1993
publishDateSearch	1993
publishDateSort	1993
publisher	Kluwer Acad. Publ.
record_format	marc
series2	Mathematics and its applications / Soviet series
spellingShingle	Mitropolʹskij, Jurij Alekseevič 1917-2008 Samojlenko, Anatolij M. 1938-2020 Martinyuk, D. I. Systems of evolution equations with periodic and quasiperiodic coefficients Evolutionsgleichung (DE-588)4129061-6 gnd Periodische Lösung (DE-588)4199269-6 gnd Quasiperiodische Lösung (DE-588)4236468-1 gnd
subject_GND	(DE-588)4129061-6 (DE-588)4199269-6 (DE-588)4236468-1
title	Systems of evolution equations with periodic and quasiperiodic coefficients
title_auth	Systems of evolution equations with periodic and quasiperiodic coefficients
title_exact_search	Systems of evolution equations with periodic and quasiperiodic coefficients
title_full	Systems of evolution equations with periodic and quasiperiodic coefficients by Yu. A. Mitropolsky, A. M. Samoilenko and D. I. Martinyuk
title_fullStr	Systems of evolution equations with periodic and quasiperiodic coefficients by Yu. A. Mitropolsky, A. M. Samoilenko and D. I. Martinyuk
title_full_unstemmed	Systems of evolution equations with periodic and quasiperiodic coefficients by Yu. A. Mitropolsky, A. M. Samoilenko and D. I. Martinyuk
title_short	Systems of evolution equations with periodic and quasiperiodic coefficients
title_sort	systems of evolution equations with periodic and quasiperiodic coefficients
topic	Evolutionsgleichung (DE-588)4129061-6 gnd Periodische Lösung (DE-588)4199269-6 gnd Quasiperiodische Lösung (DE-588)4236468-1 gnd
topic_facet	Evolutionsgleichung Periodische Lösung Quasiperiodische Lösung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005288575&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV004708148
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