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Titlebook: Kernel Determination Problems in Hyperbolic Integro-Differential Equations; Durdimurod K. Durdiev,Zhanna D. Totieva Book 2023 The Editor(s

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发表于 2025-3-21 18:35:53 | 显示全部楼层 |阅读模式
书目名称Kernel Determination Problems in Hyperbolic Integro-Differential Equations
编辑Durdimurod K. Durdiev,Zhanna D. Totieva
视频videohttp://file.papertrans.cn/543/542448/542448.mp4
概述Focuses on the applied significance in the study of the properties of composites and polymers.Studies direct and inverse problems for hyperbolic convolution-type integro-differential equations.Discuss
丛书名称Infosys Science Foundation Series
图书封面Titlebook: Kernel Determination Problems in Hyperbolic Integro-Differential Equations;  Durdimurod K. Durdiev,Zhanna D. Totieva Book 2023 The Editor(s
描述.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..
出版日期Book 2023
关键词inverse problem; stability; kernel; Dirac delta function; hyperbolic integro-differential equation; visco
版次1
doihttps://doi.org/10.1007/978-981-99-2260-4
isbn_softcover978-981-99-2262-8
isbn_ebook978-981-99-2260-4Series ISSN 2363-6149 Series E-ISSN 2363-6157
issn_series 2363-6149
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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发表于 2025-3-21 20:36:08 | 显示全部楼层
Kernel Determination Problems in Hyperbolic Integro-Differential Equations978-981-99-2260-4Series ISSN 2363-6149 Series E-ISSN 2363-6157
发表于 2025-3-22 03:49:38 | 显示全部楼层
Durdimurod K. Durdiev,Zhanna D. TotievaFocuses on the applied significance in the study of the properties of composites and polymers.Studies direct and inverse problems for hyperbolic convolution-type integro-differential equations.Discuss
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发表于 2025-3-22 16:51:12 | 显示全部楼层
,Local Solvability of One-Dimensional Kernel Determination Problems,This chapter discusses one-dimensional inverse problems of determining the memory of a medium entering into an integral term of convolution type in hyperbolic equations. In the Sect. 1.1, the problem of finding a kernel from an integro-differential wave equation in a half-space . is investigated.
发表于 2025-3-22 17:24:43 | 显示全部楼层
,The Solvability of Multidimensional Inverse Problems of a Memory Kernel Determination,For multidimensional inverse problems there are only special cases for which solvability is established. One of such classes of functions in which solvability takes place is the class of analytic functions. The technique used here is based on the scale method of Banach spaces of analytic functions, developed in the works of L.V.
发表于 2025-3-22 21:29:47 | 显示全部楼层
Two-Dimensional Special Kernel Determination Problems,This chapter is devoted to the inverse problems of recovering a memory kernel in hyperbolic integro-differential equations, having a finite Fourier series with respect to one of the spatial variables.
发表于 2025-3-23 04:02:58 | 显示全部楼层
,Some Inverse Problems of Viscoelasticity System with the Known Kernel,In this chapter, we consider various inverse problems of viscoelasticity system with the known kernel.
发表于 2025-3-23 09:21:21 | 显示全部楼层
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