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Elements of mathematical theory of e...

Teplinskii, Yu. V.

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Elements of mathematical theory of evolutionary equations in Banach spaces /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Elements of mathematical theory of evolutionary equations in Banach spaces // Anatoly M. Samoilenko, Yuriy V. Teplinsky.
作者:	Samoĭlenko, A. M.
其他作者:	Teplinskii, Yu. V.
出版者:	New Jersey ;World Scientific, : 2013.,
面頁冊數:	x, 397 p. :ill ;24 cm.
標題:	Evolution equations. -
ISBN:	9789814434829 (hbk.) :

Elements of mathematical theory of evolutionary equations in Banach spaces /
Samoĭlenko, A. M.

Elements of mathematical theory of evolutionary equations in Banach spaces /Anatoly M. Samoilenko, Yuriy V. Teplinsky. - New Jersey ;World Scientific,2013. - x, 397 p. :ill ;24 cm. - World Scientific series on nonlinear science, Series A,vol. 861793-1010 ;. - World Scientific series on nonlinear science.Series A,Monographs and treatises ;v. 77..

Includes bibliographical references (p. 385-395) and index.

Reducibility problems for difference equations --

Evolutionary 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. -- Page 4 of cover.

ISBN: 9789814434829 (hbk.) :US128.00Subjects--Topical Terms:

663081
Evolution equations.

LC Class. No.: QA377.3 / .S266 2013

Dewey Class. No.: 515.732

Elements of mathematical theory of evolutionary equations in Banach spaces /
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082 0 4 $a 515.732 $2 23
100 1 $a Samoĭlenko, A. M. $q (Anatoliĭ Mikhaĭlovich) $3 2070337
245 1 0 $a Elements of mathematical theory of evolutionary equations in Banach spaces / $c Anatoly M. Samoilenko, Yuriy V. Teplinsky.
260 # $a New Jersey ; $a London : $b World Scientific, $c 2013.
300 $a x, 397 p. : $b ill ; $c 24 cm.
490 1 0 $a World Scientific series on nonlinear science, Series A, $x 1793-1010 ; $v vol. 86
504 $a Includes bibliographical references (p. 385-395) and index.
505 0 # $t Reducibility problems for difference equations -- $t Invariant tori of difference equations in the space M -- $t Periodic solutions of difference equations. Extension of solutions -- $t Countable-point boundary-value problems for nonlinear differential equations.
520 3 $a Evolutionary 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. -- Page 4 of cover.
650 # 0 $a Evolution equations. $3 663081
650 # 0 $a Differential equations, Nonlinear. $3 604084
650 # 0 $a Banach spaces. $3 579190
700 1 # $a Teplinskii, Yu. V. $3 2070338
830 0 $a World Scientific series on nonlinear science. $n Series A, $p Monographs and treatises ; $v v. 77. $3 1314556