A variational approach to Lyapunov type inequalities: From ODEs to PDEs
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2015]
|
| Schriftenreihe: | SpringerBriefs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XVIII, 120 Seiten) |
| ISBN: | 9783319252896 |
| ISSN: | 2191-8198 |
| DOI: | 10.1007/978-3-319-25289-6 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804175707683684352 |
|---|---|
| adam_text | A VARIATIONAL APPROACH TO LYAPUNOV TYPE INEQUALITIES
/ CANADA, ANTONIO
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. INTRODUCTION
2. A VARIATIONAL CHARACTERIZATION OF THE BEST LYAPUNOV CONSTANTS
3. HIGHER EIGENVALUES
4. PARTIAL DIFFERENTIAL EQUATIONS
5. SYSTEMS OF EQUATIONS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
A VARIATIONAL APPROACH TO LYAPUNOV TYPE INEQUALITIES
/ CANADA, ANTONIO
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK HIGHLIGHTS THE CURRENT STATE OF LYAPUNOV-TYPE INEQUALITIES
THROUGH A DETAILED ANALYSIS. AIMED TOWARD RESEARCHERS AND STUDENTS
WORKING IN DIFFERENTIAL EQUATIONS AND THOSE INTERESTED IN THE
APPLICATIONS OF STABILITY THEORY AND RESONANT SYSTEMS, THE BOOK BEGINS
WITH AN OVERVIEW LYAPUNOV’S ORIGINAL RESULTS AND MOVES FORWARD TO
INCLUDE PREVALENT RESULTS OBTAINED IN THE PAST TEN YEARS. DETAILED
PROOFS AND AN EMPHASIS ON BASIC IDEAS ARE PROVIDED FOR DIFFERENT
BOUNDARY CONDITIONS FOR ORDINARY DIFFERENTIAL EQUATIONS, INCLUDING
NEUMANN, DIRICHLET, PERIODIC, AND ANTIPERIODIC CONDITIONS. NOVEL RESULTS
OF HIGHER EIGENVALUES, SYSTEMS OF EQUATIONS, PARTIAL DIFFERENTIAL
EQUATIONS AS WELL AS VARIATIONAL APPROACHES ARE PRESENTED. TO THIS
RESPECT, A NEW AND UNIFIED VARIATIONAL POINT OF VIEW IS INTRODUCED FOR
THE TREATMENT OF SUCH PROBLEMS AND A SYSTEMATIC DISCUSSION OF DIFFERENT
TYPES OF BOUNDARY CONDITIONS IS FEATURED. VARIOUS PROBLEMS MAKE THE
STUDY OF LYAPUNOV-TYPE INEQUALITIES OF INTEREST TO THOSE IN PURE AND
APPLIED MATHEMATICS. ORIGINATING WITH THE STUDY OF THE STABILITY
PROPERTIES OF THE HILL EQUATION, OTHER QUESTIONS AROSE FOR INSTANCE IN
SYSTEMS AT RESONANCE, CRYSTALLOGRAPHY, ISOPERIMETRIC PROBLEMS, RAYLEIGH
TYPE QUOTIENTS AND OSCILLATION AND INTERVALS OF DISCONJUGACY AND IT LEAD
TO THE STUDY OF LYAPUNOV-TYPE INEQUALITIES FOR DIFFERENTIAL EQUATIONS.
THIS CLASSICAL AREA OF MATHEMATICS IS STILL OF GREAT INTEREST AND
REMAINS A SOURCE OF INSPIRATION.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Cañada Villar, Antonio |
| author_GND | (DE-588)1051915740 |
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| discipline | Mathematik |
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| indexdate | 2024-07-10T07:20:34Z |
| institution | BVB |
| isbn | 9783319252896 |
| issn | 2191-8198 |
| language | English |
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| spelling | Cañada Villar, Antonio Verfasser (DE-588)1051915740 aut A variational approach to Lyapunov type inequalities From ODEs to PDEs Antonio Cañada, Salvador Villegas Cham Springer [2015] © 2015 1 Online Ressource (XVIII, 120 Seiten) txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematics 2191-8198 Mathematics Difference equations Functional equations Integral transforms Operational calculus Differential equations Partial differential equations Ordinary Differential Equations Partial Differential Equations Difference and Functional Equations Integral Transforms, Operational Calculus Mathematik Villegas, Salvador Sonstige oth Erscheint auch als Druckausgabe 978-3-319-25287-2 https://doi.org/10.1007/978-3-319-25289-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632328&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Cañada Villar, Antonio A variational approach to Lyapunov type inequalities From ODEs to PDEs Mathematics Difference equations Functional equations Integral transforms Operational calculus Differential equations Partial differential equations Ordinary Differential Equations Partial Differential Equations Difference and Functional Equations Integral Transforms, Operational Calculus Mathematik |
| title | A variational approach to Lyapunov type inequalities From ODEs to PDEs |
| title_auth | A variational approach to Lyapunov type inequalities From ODEs to PDEs |
| title_exact_search | A variational approach to Lyapunov type inequalities From ODEs to PDEs |
| title_full | A variational approach to Lyapunov type inequalities From ODEs to PDEs Antonio Cañada, Salvador Villegas |
| title_fullStr | A variational approach to Lyapunov type inequalities From ODEs to PDEs Antonio Cañada, Salvador Villegas |
| title_full_unstemmed | A variational approach to Lyapunov type inequalities From ODEs to PDEs Antonio Cañada, Salvador Villegas |
| title_short | A variational approach to Lyapunov type inequalities |
| title_sort | a variational approach to lyapunov type inequalities from odes to pdes |
| title_sub | From ODEs to PDEs |
| topic | Mathematics Difference equations Functional equations Integral transforms Operational calculus Differential equations Partial differential equations Ordinary Differential Equations Partial Differential Equations Difference and Functional Equations Integral Transforms, Operational Calculus Mathematik |
| topic_facet | Mathematics Difference equations Functional equations Integral transforms Operational calculus Differential equations Partial differential equations Ordinary Differential Equations Partial Differential Equations Difference and Functional Equations Integral Transforms, Operational Calculus Mathematik |
| url | https://doi.org/10.1007/978-3-319-25289-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632328&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=028632328&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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