Lyapunov functionals and stability of stochastic functional differential equations
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Springer
2013
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| Online-Zugang: | DE-634 DE-Aug4 DE-573 DE-92 DE-898 DE-859 DE-863 DE-706 Volltext Inhaltsverzeichnis Abstract |
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Datensatz im Suchindex
| _version_ | 1819755203240394752 |
|---|---|
| adam_text | LYAPUNOV FUNCTIONALS AND STABILITY OF STOCHASTIC FUNCTIONAL DIFFERENTIAL
EQUATIONS
/ SHAIKHET, LEONID
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
SHORT INTRODUCTION TO STABILITY THEORY OF DETERMINISTIC FUNCTIONAL
DIFFERENTIAL EQUATIONS
STABILITY OF LINEAR SCALAR EQUATIONS
STABILITY OF LINEAR SYSTEMS OF TWO EQUATIONS
STABILITY OF SYSTEMS WITH NONLINEARITIES
MATRIX RICCATI EQUATIONS IN STABILITY OF LINEAR STOCHASTIC DIFFERENTIAL
EQUATIONS WITH DELAYS
STOCHASTIC SYSTEMS WITH MARKOVIAN SWITCHING
STABILIZATION OF THE CONTROLLED INVERTED PENDULUM BY CONTROL WITH DELAY
STABILITY OF EQUILIBRIUM POINTS OF NICHOLSON’S BLOWFLIES EQUATION WITH
STOCHASTIC PERTURBATIONS
STABILITY OF POSITIVE EQUILIBRIUM POINT OF NONLINEAR SYSTEM OF TYPE OF
PREDATOR-PREY WITH AFTEREFFECT AND STOCHASTIC PERTURBATIONS
STABILITY OF SIR EPIDEMIC MODEL EQUILIBRIUM POINTS
STABILITY OF SOME SOCIAL MATHEMATICAL MODELS WITH DELAY BY STOCHASTIC
PERTURBATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LYAPUNOV FUNCTIONALS AND STABILITY OF STOCHASTIC FUNCTIONAL DIFFERENTIAL
EQUATIONS
/ SHAIKHET, LEONID
: 2013
ABSTRACT / INHALTSTEXT
STABILITY CONDITIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS CAN BE
OBTAINED USING LYAPUNOV FUNCTIONALS. LYAPUNOV FUNCTIONALS AND STABILITY
OF STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS DESCRIBES THE GENERAL
METHOD OF CONSTRUCTION OF LYAPUNOV FUNCTIONALS TO INVESTIGATE THE
STABILITY OF DIFFERENTIAL EQUATIONS WITH DELAYS. THIS WORK CONTINUES AND
COMPLEMENTS THE AUTHOR’S PREVIOUS BOOK LYAPUNOV FUNCTIONALS AND
STABILITY OF STOCHASTIC DIFFERENCE EQUATIONS, WHERE THIS METHOD IS
DESCRIBED FOR DISCRETE- AND CONTINUOUS-TIME DIFFERENCE EQUATIONS. THE
TEXT BEGINS WITH A DESCRIPTION OF THE PECULIARITIES OF DETERMINISTIC AND
STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS. THERE FOLLOW BASIC
DEFINITIONS FOR STABILITY THEORY OF STOCHASTIC HEREDITARY SYSTEMS, AND A
FORMAL PROCEDURE OF LYAPUNOV FUNCTIONALS CONSTRUCTION IS PRESENTED.
STABILITY INVESTIGATION IS CONDUCTED FOR STOCHASTIC LINEAR AND NONLINEAR
DIFFERENTIAL EQUATIONS WITH CONSTANT AND DISTRIBUTED DELAYS. THE
PROPOSED METHOD IS USED FOR STABILITY INVESTIGATION OF DIFFERENT
MATHEMATICAL MODELS SUCH AS: • INVERTED CONTROLLED PENDULUM; •
NICHOLSON S BLOWFLIES EQUATION; • PREDATOR-PREY RELATIONSHIPS; •
EPIDEMIC DEVELOPMENT; AND • MATHEMATICAL MODELS THAT DESCRIBE HUMAN
BEHAVIOURS RELATED TO ADDICTIONS AND OBESITY. LYAPUNOV FUNCTIONALS AND
STABILITY OF STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS IS PRIMARILY
ADDRESSED TO EXPERTS IN STABILITY THEORY BUT WILL ALSO BE OF INTEREST TO
PROFESSIONALS AND STUDENTS IN PURE AND COMPUTATIONAL MATHEMATICS,
PHYSICS, ENGINEERING, MEDICINE, AND BIOLOGY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Šajchet, Leonid E. |
| author_facet | Šajchet, Leonid E. |
| author_role | aut |
| author_sort | Šajchet, Leonid E. |
| author_variant | l e š le leš |
| building | Verbundindex |
| bvnumber | BV041058833 |
| classification_rvk | SK 820 |
| collection | ZDB-2-ENG |
| ctrlnum | (OCoLC)843455704 (DE-599)BVBBV041058833 |
| dewey-full | 629.8 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8 |
| dewey-search | 629.8 |
| dewey-sort | 3629.8 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| doi_str_mv | 10.1007/978-3-319-00101-2 |
| format | Electronic eBook |
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| language | English |
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| spellingShingle | Šajchet, Leonid E. Lyapunov functionals and stability of stochastic functional differential equations |
| title | Lyapunov functionals and stability of stochastic functional differential equations |
| title_auth | Lyapunov functionals and stability of stochastic functional differential equations |
| title_exact_search | Lyapunov functionals and stability of stochastic functional differential equations |
| title_full | Lyapunov functionals and stability of stochastic functional differential equations Leonid Shaikhet |
| title_fullStr | Lyapunov functionals and stability of stochastic functional differential equations Leonid Shaikhet |
| title_full_unstemmed | Lyapunov functionals and stability of stochastic functional differential equations Leonid Shaikhet |
| title_short | Lyapunov functionals and stability of stochastic functional differential equations |
| title_sort | lyapunov functionals and stability of stochastic functional differential equations |
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