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000932716 019__ $$a1155875013$$a1156744839$$a1157258292$$a1157499426$$a1158336261
000932716 020__ $$a9783030386443$$q(electronic book)
000932716 020__ $$a3030386449$$q(electronic book)
000932716 020__ $$z9783030386436
000932716 0247_ $$a10.1007/978-3-030-38
000932716 0247_ $$a10.1007/978-3-030-38644-3$$2doi
000932716 035__ $$aSP(OCoLC)on1154509679
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000932716 08204 $$a515/.39$$223
000932716 1001_ $$aWang, Chao.
000932716 24510 $$aTheory of translation closedness for time scales :$$bwith applications in translation functions and dynamic equations /$$cChao Wang, Ravi P. Agarwal, Donal O' Regan, Rathinasamy Sakthivel.
000932716 260__ $$aCham :$$bSpringer,$$c2020.
000932716 300__ $$a1 online resource (586 pages).
000932716 336__ $$atext$$btxt$$2rdacontent
000932716 337__ $$acomputer$$bc$$2rdamedia
000932716 338__ $$aonline resource$$bcr$$2rdacarrier
000932716 347__ $$atext file$$bPDF$$2rda
000932716 4901_ $$aDevelopments in Mathematics ;$$vv.62
000932716 504__ $$aIncludes bibliographical references and index.
000932716 5050_ $$aPreface -- Preliminaries and Basic Knowledge on Time Scales -- A Classification of Closedness of Time Scales under Translations -- Almost Periodic Functions and Generalizations on Complete-Closed Time Scales -- Piecewise Almost Periodic Functions and Generalizations on Translation Time Scales -- Almost Automorphic Functions and Generalizations on Translation Time Scales -- Nonlinear Dynamic Equations on Translation Time Scales -- Impulsive Dynamic Equations on Translation Time Scales -- Almost Automorphic Dynamic Equations on Translation Time Scales -- Analysis of Dynamical System Models on Translation Time Scales -- Index.
000932716 506__ $$aAccess limited to authorized users.
000932716 520__ $$aThis monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodic functions, (piecewise) almost automorphic functions and their related generalization functions (e.g., pseudo almost periodic functions, weighted pseudo almost automorphic functions, and more). Against the background of dynamic equations, these function theories on time scales are applied to study the dynamical behavior of solutions for various types of dynamic equations on hybrid domains, including evolution equations, discontinuous equations and impulsive integro-differential equations. The theory presented allows many useful applications, such as in the Nicholson`s blowfiles model; the Lasota-Wazewska model; the Keynesian-Cross model; in those realistic dynamical models with a more complex hibrid domain, considered under different types of translation closedness of time scales; and in dynamic equations on mathematical models which cover neural networks. This book provides readers with the theoretical background necessary for accurate mathematical modeling in physics, chemical technology, population dynamics, biotechnology and economics, neural networks, and social sciences.
000932716 588__ $$aDescription based on print version record.
000932716 650_0 $$aPeriodic functions.
000932716 650_0 $$aDynamics.
000932716 7001_ $$aAgarwal, Ravi P.
000932716 7001_ $$aSakthivel, Rathinasamy.
000932716 7001_ $$aO' Regan, Donal.
000932716 77608 $$iPrint version:$$aWang, Chao$$tTheory of Translation Closedness for Time Scales : With Applications in Translation Functions and Dynamic Equations$$dCham : Springer International Publishing AG,c2020$$z9783030386436
000932716 830_0 $$aDevelopments in mathematics ;$$vv. 62.
000932716 852__ $$bebk
000932716 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-38644-3$$zOnline Access$$91397441.1
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000932716 980__ $$aEBOOK
000932716 980__ $$aBIB
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000932716 983__ $$aOnline
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