國立高雄大學圖資館 |

Language: English

Back

Stability, periodicity and boundedne...

Adivar, Murat.

Stability, periodicity and boundedness in functional dynamical systems on time scales

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stability, periodicity and boundedness in functional dynamical systems on time scalesby Murat Adivar, Youssef N. Raffoul.
Author:	Adivar, Murat.
other author:	Raffoul, Youssef N.
Published:	Cham :Springer International Publishing :2020.
Description:	xiv, 416 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Dynamics.
Online resource:	https://doi.org/10.1007/978-3-030-42117-5
ISBN:	9783030421175$q(electronic bk.)

Stability, periodicity and boundedness in functional dynamical systems on time scales
Adivar, Murat.

Stability, periodicity and boundedness in functional dynamical systems on time scales[electronic resource] /by Murat Adivar, Youssef N. Raffoul. - Cham :Springer International Publishing :2020. - xiv, 416 p. :ill., digital ;24 cm.

Introduction To Stability And Boundedness In Dynamical Systems -- Ordinary Dynamical Systems -- Functional Dynamical Systems -- Volterra Integro-dynamic Equations -- Exotic Lyapunov Functionals for Boundedness and Stability -- Volterra Integral Dynamic Eqations -- Periodic Solutions; The Natural Set up -- Periodicity Using Shift Periodic Operators.

Motivated by recent increased activity of research on time scales, the book provides a systematic approach to the study of the qualitative theory of boundedness, periodicity and stability of Volterra integro-dynamic equations on time scales. Researchers and graduate students who are interested in the method of Lyapunov functions/functionals, in the study of boundedness of solutions, in the stability of the zero solution, or in the existence of periodic solutions should be able to use this book as a primary reference and as a resource of latest findings. This book contains many open problems and should be of great benefit to those who are pursuing research in dynamical systems or in Volterra integro-dynamic equations on time scales with or without delays. Great efforts were made to present rigorous and detailed proofs of theorems. The book should serve as an encyclopedia on the construction of Lyapunov functionals in analyzing solutions of dynamical systems on time scales. The book is suitable for a graduate course in the format of graduate seminars or as special topics course on dynamical systems. The book should be of interest to investigators in biology, chemistry, economics, engineering, mathematics and physics.

ISBN: 9783030421175$q(electronic bk.)

Standard No.: 10.1007/978-3-030-42117-5doiSubjects--Topical Terms:

189568
Dynamics.

LC Class. No.: QA845 / .A356 2020

Dewey Class. No.: 515.39

Stability, periodicity and boundedness in functional dynamical systems on time scales
LDR:02603nmm a2200325 a 4500 001 572067
003 DE-He213
005 20200817173102.0
006 m d
007 cr nn 008maaau
008 200922s2020 sz s 0 eng d
020 $a 9783030421175$q(electronic bk.)
020 $a 9783030421168$q(paper)
024 7 $a 10.1007/978-3-030-42117-5 $2 doi
035 $a 978-3-030-42117-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA845 $b .A356 2020
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBWR $2 thema
082 0 4 $a 515.39 $2 23
090 $a QA845 $b .A244 2020
100 1 $a Adivar, Murat. $3 858964
245 1 0 $a Stability, periodicity and boundedness in functional dynamical systems on time scales $h [electronic resource] / $c by Murat Adivar, Youssef N. Raffoul.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xiv, 416 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction To Stability And Boundedness In Dynamical Systems -- Ordinary Dynamical Systems -- Functional Dynamical Systems -- Volterra Integro-dynamic Equations -- Exotic Lyapunov Functionals for Boundedness and Stability -- Volterra Integral Dynamic Eqations -- Periodic Solutions; The Natural Set up -- Periodicity Using Shift Periodic Operators.
520 $a Motivated by recent increased activity of research on time scales, the book provides a systematic approach to the study of the qualitative theory of boundedness, periodicity and stability of Volterra integro-dynamic equations on time scales. Researchers and graduate students who are interested in the method of Lyapunov functions/functionals, in the study of boundedness of solutions, in the stability of the zero solution, or in the existence of periodic solutions should be able to use this book as a primary reference and as a resource of latest findings. This book contains many open problems and should be of great benefit to those who are pursuing research in dynamical systems or in Volterra integro-dynamic equations on time scales with or without delays. Great efforts were made to present rigorous and detailed proofs of theorems. The book should serve as an encyclopedia on the construction of Lyapunov functionals in analyzing solutions of dynamical systems on time scales. The book is suitable for a graduate course in the format of graduate seminars or as special topics course on dynamical systems. The book should be of interest to investigators in biology, chemistry, economics, engineering, mathematics and physics.
650 0 $a Dynamics. $3 189568
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Real Functions. $3 273779
700 1 $a Raffoul, Youssef N. $3 823419
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-030-42117-5
950 $a Mathematics and Statistics (Springer-11649)