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010   $a3-030-42117-1
024 7 $a10.1007/978-3-030-42117-5
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035   $a(DE-He213)978-3-030-42117-5
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035   $a(PPN)24376376X
035   $a(EXLCZ)994920000000496079
100   $a20200423d2020      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aStability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales /$fby Murat Ad?var, Youssef N. Raffoul
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (XIV, 416 p. 3 illus., 1 illus. in color.) 
311   $a3-030-42116-3 
327   $aIntroduction 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 -- .
330   $aMotivated 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.
606   $aDynamics
606   $aErgodic theory
606   $aFunctions of real variables
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aFunctions of real variables.
615 14$aDynamical Systems and Ergodic Theory.
615 24$aReal Functions.
676   $a531.11
700   $aAd?var$b Murat$4aut$4http://id.loc.gov/vocabulary/relators/aut$01020547
702   $aRaffoul$b Youssef N$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483550803321
996   $aStability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales$92413544
997   $aUNINA