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001449883 001__ 1449883
001449883 003__ OCoLC
001449883 005__ 20230310004423.0
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001449883 008__ 220928s2022\\\\sz\a\\\\ob\\\\001\0\eng\d
001449883 020__ $$a9783031116193$$q(electronic bk.)
001449883 020__ $$a3031116194$$q(electronic bk.)
001449883 020__ $$z9783031116186
001449883 0247_ $$a10.1007/978-3-031-11619-3$$2doi
001449883 035__ $$aSP(OCoLC)1346155162
001449883 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dOCLCF$$dOCLCQ
001449883 049__ $$aISEA
001449883 050_4 $$aQA312
001449883 08204 $$a515/.42$$223/eng/20220928
001449883 1001_ $$aWang, Chao,$$eauthor.
001449883 24510 $$aCombined measure and shift invariance theory of time scales and applications /$$cChao Wang, Ravi P. Agarwal.
001449883 264_1 $$aCham :$$bSpringer,$$c[2022]
001449883 264_4 $$c©2022
001449883 300__ $$a1 online resource (xvi, 434 pages) :$$billustrations.
001449883 336__ $$atext$$btxt$$2rdacontent
001449883 337__ $$acomputer$$bc$$2rdamedia
001449883 338__ $$aonline resource$$bcr$$2rdacarrier
001449883 4901_ $$aDevelopments in mathematics,$$x2197-795X ;$$vvolume 77
001449883 504__ $$aIncludes bibliographical references and index.
001449883 506__ $$aAccess limited to authorized users.
001449883 520__ $$aThis monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory-a unified view of continuous and discrete analysis-has been widely used to study various classes of dynamic equations and models in real-world applications. Measure theory based on time scales, in its turn, is of great power in analyzing functions on time scales or hybrid domains. As a new and exciting type of mathematics-and more comprehensive and versatile than the traditional theories of differential and difference equations-, the time scale theory can precisely depict the continuous-discrete hybrid processes and is an optimal way forward for accurate mathematical modeling in applied sciences such as physics, chemical technology, population dynamics, biotechnology, and economics and social sciences. Graduate students and researchers specializing in general dynamic equations on time scales can benefit from this work, fostering interest and further research in the field. It can also serve as reference material for undergraduates interested in dynamic equations on time scales. Prerequisites include familiarity with functional analysis, measure theory, and ordinary differential equations.
001449883 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 28, 2022).
001449883 650_0 $$aMeasure theory.
001449883 650_0 $$aFunctional analysis.
001449883 650_0 $$aDifferential equations.
001449883 655_0 $$aElectronic books.
001449883 7001_ $$aAgarwal, Ravi P.,$$eauthor.
001449883 830_0 $$aDevelopments in mathematics ;$$vv. 77.$$x2197-795X
001449883 852__ $$bebk
001449883 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-11619-3$$zOnline Access$$91397441.1
001449883 909CO $$ooai:library.usi.edu:1449883$$pGLOBAL_SET
001449883 980__ $$aBIB
001449883 980__ $$aEBOOK
001449883 982__ $$aEbook
001449883 983__ $$aOnline
001449883 994__ $$a92$$bISE