LEADER 03658nam 22005775 450 001 9910731480403321 005 20240522115038.0 010 $a981-9922-60-7 024 7 $a10.1007/978-981-99-2260-4 035 $a(MiAaPQ)EBC30602600 035 $a(Au-PeEL)EBL30602600 035 $a(DE-He213)978-981-99-2260-4 035 $a(PPN)272265349 035 $a(CKB)27106529000041 035 $a(EXLCZ)9927106529000041 100 $a20230618d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aKernel Determination Problems in Hyperbolic Integro-Differential Equations /$fby Durdimurod K. Durdiev, Zhanna D. Totieva 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (390 pages) 225 1 $aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044 311 08$aPrint version: Durdiev, Durdimurod K. Kernel Determination Problems in Hyperbolic Integro-Differential Equations Singapore : Springer,c2023 9789819922598 327 $aChapter 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. 330 $aThis book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional ?impacts? or ?explosions?. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics. 410 0$aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4044 606 $aDifferential equations 606 $aDifferential Equations 606 $aEquacions diferencials hiperbòliques$2thub 606 $aFuncions de Kernel$2thub 606 $aProblemes inversos (Equacions diferencials)$2thub 608 $aLlibres electrònics$2thub 615 0$aDifferential equations. 615 14$aDifferential Equations. 615 7$aEquacions diferencials hiperbòliques 615 7$aFuncions de Kernel 615 7$aProblemes inversos (Equacions diferencials) 676 $a515.353 700 $aDurdiev$b Durdimurod K$01368915 701 $aTotieva$b Zhanna D$01368916 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910731480403321 996 $aKernel Determination Problems in Hyperbolic Integro-Differential Equations$93394894 997 $aUNINA