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Elements of mathematical theory of evolutionary equations in Banach spaces /

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MARC

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915640

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OCoLC

005

20150313110319.0

008		120928t20132013si b 001 0 eng d
020		\|a9814434825
020		\|a9789814434829
035		\|a(OCoLC)811411002
040		\|aYDXCP\|beng\|erda\|cYDXCP\|dBTCTA\|dOCLCQ\|dMUU\|dSINLB
042		\|anbic
050	4	\|aQA377.3\|bS266\|y2013
082	04	\|a515.732
100	1	\|aSamoĭlenko, A. M.\|q(Anatoliĭ Mikhaĭlovich),\|eauthor.
245	10	\|aElements of mathematical theory of evolutionary equations in Banach spaces /\|cAnatoly M. Samoilenko, National Academy of Sciences, Ukraine; Yuriy V. Teplinsky, Kamyanets-Podilsky National University, Ukraine.
260		\|aSingapore :\|bWorld Scientific,\|cc2013.
264	1	\|aSingapore :\|aHackensack, New Jersey :\|bWorld Scientific,\|c[2013]
264	4	\|c©2013.
300		\|ax, 397 pages ;\|c24 cm.
336		\|atext\|btxt\|2rdacontent.
337		\|aunmediated\|bn\|2rdamedia.
338		\|avolume\|bnc\|2rdacarrier.
490	0	\|aWorld Scientific series on nonlinear science, Series A,\|x1793-1010 ;\|vv. 86.
504		\|aIncludes bibliographical references (pages 385-395) and index.
505	0	\|a1. Reducibility problems for difference equations -- 2. Invariant tori of difference equations in the space M -- 3. Periodic solutions of difference equations. Extension of solutions -- 4. Countable-point boundary-value problems for nonlinear differential equations.
520	3	\|aEvolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems. The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics -- P. 4 of cover.
650	0	\|aEvolution equations.
650	0	\|aDifferential equations, Nonlinear.
650	0	\|aBanach spaces.
700	1	\|aTeplinskii, Yu. V.,\|eauthor.
700		\|aSamoilenko, A. M.\|q(Anatolii Mikhailovich),
910		\|a20150313
095		\|d515.732\|eSa46\|pBOOK