國立高雄大學圖資館 |

Kernel determination problems in hyperbolic integro-differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Kernel determination problems in hyperbolic integro-differential equationsby Durdimurod K. Durdiev, Zhanna D. Totieva.
Author:	Durdiev, Durdimurod K.
other author:	Totieva, Zhanna D.
Published:	Singapore :Springer Nature Singapore :2023.
Description:	xxvi, 368 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Differential equations, Hyperbolic.
Online resource:	https://doi.org/10.1007/978-981-99-2260-4
ISBN:	9789819922604$q(electronic bk.)

Kernel determination problems in hyperbolic integro-differential equations
Durdiev, Durdimurod K.

Kernel determination problems in hyperbolic integro-differential equations[electronic resource] /by Durdimurod K. Durdiev, Zhanna D. Totieva. - Singapore :Springer Nature Singapore :2023. - xxvi, 368 p. :ill., digital ;24 cm. - Infosys science foundation series in mathematical sciences,2364-4044. - Infosys science foundation series in mathematical sciences..

Chapter 1: Local Solvability of One-dimensional Kernel Determination Problems -- Chapter 2: The Solvability of Multidimensional Inverse Problems of a Memory Kernel Determination -- Chapter 3: Global Solvability of Memory Reconstruction Problems -- Chapter 4: Stability in Inverse Problems for Determining Two Unknowns -- Chapter 5: Two-dimensional Special Kernel Determination Problems -- Chapter 6: Some Inverse Problems of Viscoelasticity System with the Known Kernel -- Chapter 7: Kernel Identification Problems in a Viscoelasticity System -- Chapter 1:Dirichlet-to-Neumann Maps Method in Kernel Determining Problems.

This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional "impacts" or "explosions". This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.

ISBN: 9789819922604$q(electronic bk.)

Standard No.: 10.1007/978-981-99-2260-4doiSubjects--Topical Terms:

199039
Differential equations, Hyperbolic.

LC Class. No.: QA377 / .D87 2023

Dewey Class. No.: 515.353

Kernel determination problems in hyperbolic integro-differential equations
LDR:02647nmm a2200337 a 4500 001 647114
003 DE-He213
005 20230618185635.0
006 m d
007 cr nn 008maaau
008 240116s2023 si s 0 eng d
020 $a 9789819922604$q(electronic bk.)
020 $a 9789819922598$q(paper)
024 7 $a 10.1007/978-981-99-2260-4 $2 doi
035 $a 978-981-99-2260-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377 $b .D87 2023
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .D954 2023
100 1 $a Durdiev, Durdimurod K. $3 956335
245 1 0 $a Kernel determination problems in hyperbolic integro-differential equations $h [electronic resource] / $c by Durdimurod K. Durdiev, Zhanna D. Totieva.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a xxvi, 368 p. : $b ill., digital ; $c 24 cm.
490 1 $a Infosys science foundation series in mathematical sciences, $x 2364-4044
505 0 $a Chapter 1: Local Solvability of One-dimensional Kernel Determination Problems -- Chapter 2: The Solvability of Multidimensional Inverse Problems of a Memory Kernel Determination -- Chapter 3: Global Solvability of Memory Reconstruction Problems -- Chapter 4: Stability in Inverse Problems for Determining Two Unknowns -- Chapter 5: Two-dimensional Special Kernel Determination Problems -- Chapter 6: Some Inverse Problems of Viscoelasticity System with the Known Kernel -- Chapter 7: Kernel Identification Problems in a Viscoelasticity System -- Chapter 1:Dirichlet-to-Neumann Maps Method in Kernel Determining Problems.
520 $a This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional "impacts" or "explosions". This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.
650 0 $a Differential equations, Hyperbolic. $3 199039
650 0 $a Kernel functions. $3 214209
650 0 $a Inverse problems (Differential equations) $3 189581
650 1 4 $a Differential Equations. $3 285983
700 1 $a Totieva, Zhanna D. $3 890370
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Infosys science foundation series in mathematical sciences. $3 825969
856 4 0 $u https://doi.org/10.1007/978-981-99-2260-4
950 $a Mathematics and Statistics (SpringerNature-11649)