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Record Nr. |
UNINA9910731480403321 |
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Autore |
Durdiev Durdimurod K |
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Titolo |
Kernel Determination Problems in Hyperbolic Integro-Differential Equations / / by Durdimurod K. Durdiev, Zhanna D. Totieva |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
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ISBN |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (390 pages) |
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Collana |
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Infosys Science Foundation Series in Mathematical Sciences, , 2364-4044 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Differential equations |
Differential Equations |
Equacions diferencials hiperbòliques |
Funcions de Kernel |
Problemes inversos (Equacions diferencials) |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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