scholarly journals Humanitarian knowledge in the learning content to the inverse problems for differential equations

2018 ◽  
Vol 15 (4) ◽  
pp. 398-409
Author(s):  
V.S. Kornilov ◽  
Keyword(s):  
Inverse Problems ◽  
Differential Equations ◽  
Learning Content

The inverse problem of recovering the coefficients of a differential equations on a graph

2020 ◽  
Vol 28 (5) ◽  
pp. 727-738
Author(s):  
Victor Sadovnichii ◽  
Yaudat Talgatovich Sultanaev ◽  
Azamat Akhtyamov
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Finite Number ◽  
Characteristic Equation ◽  
Arbitrary Number ◽  
New Class ◽  
Finite Set

AbstractWe consider a new class of inverse problems on the recovery of the coefficients of differential equations from a finite set of eigenvalues of a boundary value problem with unseparated boundary conditions. A finite number of eigenvalues is possible only for problems in which the roots of the characteristic equation are multiple. The article describes solutions to such a problem for equations of the second, third, and fourth orders on a graph with three, four, and five edges. The inverse problem with an arbitrary number of edges is solved similarly.

Inverse Problems for Partial Differential Equations

2012 ◽  
Vol 9 (1) ◽  
pp. 611-659
Author(s):  
Martin Hanke-Bourgeois ◽  
Andreas Kirsch ◽  
William Rundell ◽  
Matti Lassas
Keyword(s):  
Partial Differential Equations ◽  
Inverse Problems ◽  
Differential Equations ◽  
Partial Differential

scholarly journals On local fractional Volterra integro-differential equations in fractal steady heat transfer

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 789-793 ◽  
Author(s):  
Ai-Min Yang ◽  
Yang Han ◽  
Yu-Zhu Zhang ◽  
Li-Ting Wang ◽  
Di Zhang ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Inverse Problems ◽  
Differential Equations ◽  
Non Linear ◽  
Steady Heat

In this paper we address the inverse problems for the fractal steady heat transfer described by the local fractional linear and non-linear Volterra integro-differential equations. The Volterra integro-differential equations are presented for investigating the fractal heat-transfer.

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