Results 101 to 110 of about 147 (132)

Determination of an Unknown Heat Source from Integral Overdetermination Condition

Iranian Journal of Science and Technology, Transaction A: Science, 2017
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Irem Baglan, Vishnu Narayan Mishra, Mishra Vishnu Narayan   +2 more
exaly   +4 more sources

Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions

Applied Mathematics and Computation, 2011
The authors investigate the inverse problem of finding a time-dependent heat source in a parabolic equation with nonlocal boundary and integral over-determination conditions. Under some natural regularity and consistency conditions on the input data the well-posedness of the problem is shown by using the generalized Fourier method.
D Lesnic
exaly   +3 more sources

On determining the source function in heat and mass transfer problems under integral overdetermination conditions

Journal of Applied and Industrial Mathematics, 2016
Summary: We examine an inverse problem of determining the right-hand side (the source function) in a parabolic equation from integral overdetermination data. By a solution to a parabolic equation we mean a weak solution, and the right-hand side in this equation can be a distribution of a certain class.
Sergey Pyatkov, Pyatkov S G
exaly   +3 more sources

On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition

Mathematical Notes, 2005
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V L Kamynin
exaly   +2 more sources

On the solvability of an inverse problem for the Burgers equation with an integral overdetermination condition in a nonlinearly degenerating domain

Journal of Inverse and Ill-Posed Problems
Abstract The paper considers an inverse problem and a direct problem for the Burgers equation in a domain with movable boundaries. With the help of an additional condition, a formula is obtained for determining the desired function from a direct problem for the loaded Burgers equation for the solvability of which we require a condition ...
Sergey Kabanikhin
exaly   +3 more sources

Inverse problems for a quasilinear parabolic system with integral overdetermination conditions

Журнал «Математические заметки СВФУ», 2020
Рассматривается вопрос о корректности в пространствах Соболева обратной задачи определения функции источника для квазилинейной параболической системы второго порядка. Главная часть оператора линейна. В качестве условий переопределения рассматриваются интегральные условия переопределения.
Pyatkov, Sergeĭ Grigor'evich, Uvarova, Matrena Vladimirovna, Pron'kina, Tat'yana Vasil'evna   +2 more
openaire   +1 more source

Inverse coefficient problem for a time - fractional wave equation with initial - boundary and integral type overdetermination conditions

Mathematical Methods in the Applied Sciences, 2022
This paper considers the inverse problem of determining the time-dependent coefficient in the time-fractional diffusion-wave equation. In this case, an initial boundary value problem was set for the fractional diffusion-wave equation, and an additional condition was given for the inverse problem of determining the coefficient from this equation.
D. K. Durdiev, H. H. Turdiev
openaire   +1 more source

Inverse coefficient problem for a fractional wave equation with time-nonlocal and integral overdetermination conditions

Boletín de la Sociedad Matemática Mexicana, 2023
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D. K. Durdiev, A. A. Rahmonov
openaire   +1 more source

Inverse problem for a pseudoparabolic equation with integral overdetermination conditions

Differential Equations, 2014
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openaire   +2 more sources

Inverse Source Problem for the Subdiffusion Equation on a Metric Star Graph with Integral Overdetermination Condition

Lobachevskii Journal of Mathematics, 2023
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openaire   +2 more sources