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040 _aOCoLC-P
_beng
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020 _a9781003120179
_q(electronic bk.)
020 _a1003120172
_q(electronic bk.)
020 _z9780367636685
020 _z9780367636678
020 _a9781000386905
_q(electronic bk. : EPUB)
020 _a1000386902
_q(electronic bk. : EPUB)
020 _a9781000386899
_q(electronic bk. : PDF)
020 _a1000386899
_q(electronic bk. : PDF)
035 _a(OCoLC)1257818596
035 _a(OCoLC-P)1257818596
050 4 _aQA372
072 7 _aMAT
_x007010
_2bisacsh
072 7 _aMAT
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072 7 _aMAT
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072 7 _aPBKJ
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082 0 4 _a515/.352
_223
100 1 _aTripāṭhī, Aruṇa Kumāra,
_d1961-
_eauthor.
_919617
245 1 0 _aHyers-Ulam Stability of Ordinary Differential Equations.
250 _aFirst edition.
264 1 _a[Place of publication not identified] :
_bChapman and Hall/CRC,
_c2021.
300 _a1 online resource (xii, 216 pages).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _aIntroduction and Preliminaries. Stability of First Order Linear Differential Equations. Stability of Second Order Linear Differential Equations. Hyers-Ulam Stability of Exact Linear Differential Equations. Hyers-Ulam Stability of Euler's Differential Equations. Generalized Hyers-Ulam Stability of Differential Equations. In Complex Banach Space. Hyers-Ulam Stability of Difference Equations. Bibliography. Index.
520 _aHyers-Ulam Stability of Ordinary Differential Equations undertakes an interdisciplinary, integrative overview of a kind of stability problem unlike the existing so called stability problem for Differential equations and Difference Equations. In 1940, S. M. Ulam posed the problem: When can we assert that approximate solution of a functional equation can be approximated by a solution of the corresponding equation before the audience at the University of Wisconsin which was first answered by D. H. Hyers on Banach space in 1941. Thereafter, T. Aoki, D. H. Bourgin and Th. M. Rassias improved the result of Hyers. After that many researchers have extended the Ulam's stability problems to other functional equations and generalized Hyer's result in various directions. Last three decades, this topic is very well known as Hyers-Ulam Stability or sometimes it is referred Hyers-Ulam-Rassias Stability. This book synthesizes interdisciplinary theory, definitions and examples of Ordinary Differential and Difference Equations dealing with stability problems. The purpose of this book is to display the new kind of stability problem to global audience and accessible to a broader interdisciplinary readership for e.g those are working in Mathematical Biology Modeling, bending beam problems of mechanical engineering also, some kind of models in population dynamics. This book may be a starting point for those associated in such research and covers the methods needed to explore the analysis. Features: The state-of-art is pure analysis with background functional analysis. A rich, unique synthesis of interdisciplinary findings and insights on resources. As we understand that the real world problem is heavily involved with Differential and Difference equations, the cited problems of this book may be useful in a greater sense as long as application point of view of this Hyers-Ulam Stability theory is concerned. Information presented in an accessible way for students, researchers, scientists and engineers.
588 _aOCLC-licensed vendor bibliographic record.
650 7 _aMATHEMATICS / Differential Equations
_2bisacsh
_911294
650 7 _aMATHEMATICS / Functional Analysis
_2bisacsh
_912912
650 0 _aDifferential equations.
_919618
650 0 _aStability.
_95467
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781003120179
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _cEBK
999 _c72148
_d72148