東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linear and nonlinear non-Fredholm op...

Efendiev, Messoud.

Linked to FindBook

Google Book

Amazon

博客來

Linear and nonlinear non-Fredholm operators = theory and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear and nonlinear non-Fredholm operators/ by Messoud Efendiev.
Reminder of title:	theory and applications /
Author:	Efendiev, Messoud.
Published:	Singapore :Springer Nature Singapore : : 2023.,
Description:	xiv, 208 p. :ill., digital ;24 cm.
[NT 15003449]:	1 Auxiliary Materials -- 2 Solvability in the sense of sequences: non-Fredholm operators -- 3 Solvability of some integro-differential equations with mixed diffusion -- 4 Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion -- 5 Non-Fredholm Schrödinger type operators.
Contained By:	Springer Nature eBook
Subject:	Linear operators. -
Online resource:	https://doi.org/10.1007/978-981-19-9880-5
ISBN:	9789811998805

Linear and nonlinear non-Fredholm operators = theory and applications /
Efendiev, Messoud.

Linear and nonlinear non-Fredholm operatorstheory and applications /[electronic resource] :by Messoud Efendiev. - Singapore :Springer Nature Singapore :2023. - xiv, 208 p. :ill., digital ;24 cm.

1 Auxiliary Materials -- 2 Solvability in the sense of sequences: non-Fredholm operators -- 3 Solvability of some integro-differential equations with mixed diffusion -- 4 Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion -- 5 Non-Fredholm Schrödinger type operators.

This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications. The domain of applications of theory developed here is potentially much wider than that presented in the book. Therefore, a goal of this book is to invite readers to make contributions to this fascinating area of mathematics. First, it is worth noting that linear Fredholm operators, one of the most important classes of linear maps in mathematics, were introduced around 1900 in the study of integral operators. These linear Fredholm operators between Banach spaces share, in some sense, many properties with linear maps between finite dimensional spaces. Since the end of the previous century there has been renewed interest in linear - nonlinear Fredholm maps from a topological degree point of view and its applications, following a period of "stagnation" in the mid-1960s. Now, linear and nonlinear Fredholm operator theory and the solvability of corresponding equations both from the analytical and topological points of view are quite well understood. Also noteworthy is, that as a by-product of our results, we have obtained an important tool for modelers working in mathematical biology and mathematical medicine, namely, the necessary conditions for preserving positive cones for systems of equations without Fredholm property containing local - nonlocal diffusion as well as terms for transport and nonlinear interactions.

ISBN: 9789811998805

Standard No.: 10.1007/978-981-19-9880-5doiSubjects--Topical Terms:

576799
Linear operators.

LC Class. No.: QA329.2 / .E44 2023

Dewey Class. No.: 515.724

Linear and nonlinear non-Fredholm operators = theory and applications /
LDR:02762nmm a2200325 a 4500 001 2316250
003 DE-He213
005 20230204064145.0
006 m d
007 cr nn 008maaau
008 230902s2023 si s 0 eng d
020 $a 9789811998805 $q (electronic bk.)
020 $a 9789811998799 $q (paper)
024 7 $a 10.1007/978-981-19-9880-5 $2 doi
035 $a 978-981-19-9880-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329.2 $b .E44 2023
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.724 $2 23
090 $a QA329.2 $b .E27 2023
100 1 $a Efendiev, Messoud. $3 2047340
245 1 0 $a Linear and nonlinear non-Fredholm operators $h [electronic resource] : $b theory and applications / $c by Messoud Efendiev.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a xiv, 208 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1 Auxiliary Materials -- 2 Solvability in the sense of sequences: non-Fredholm operators -- 3 Solvability of some integro-differential equations with mixed diffusion -- 4 Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion -- 5 Non-Fredholm Schrödinger type operators.
520 $a This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications. The domain of applications of theory developed here is potentially much wider than that presented in the book. Therefore, a goal of this book is to invite readers to make contributions to this fascinating area of mathematics. First, it is worth noting that linear Fredholm operators, one of the most important classes of linear maps in mathematics, were introduced around 1900 in the study of integral operators. These linear Fredholm operators between Banach spaces share, in some sense, many properties with linear maps between finite dimensional spaces. Since the end of the previous century there has been renewed interest in linear - nonlinear Fredholm maps from a topological degree point of view and its applications, following a period of "stagnation" in the mid-1960s. Now, linear and nonlinear Fredholm operator theory and the solvability of corresponding equations both from the analytical and topological points of view are quite well understood. Also noteworthy is, that as a by-product of our results, we have obtained an important tool for modelers working in mathematical biology and mathematical medicine, namely, the necessary conditions for preserving positive cones for systems of equations without Fredholm property containing local - nonlocal diffusion as well as terms for transport and nonlinear interactions.
650 0 $a Linear operators. $3 576799
650 0 $a Nonlinear operators. $3 631780
650 0 $a Fredholm operators. $3 595626
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Real Functions. $3 891265
650 2 4 $a Fourier Analysis. $3 891095
650 2 4 $a Differential Equations. $3 907890
650 2 4 $a Sequences, Series, Summability. $3 897266
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-19-9880-5
950 $a Mathematics and Statistics (SpringerNature-11649)