AN INVERSE PROBLEM FOR DETERMINING RIGHT HAND SIDE OF EQUATIONS FOR HYPERBOLIC EQUATION OF FOURTH ORDER

2019 ◽  
Vol 20 (2) ◽  
pp. 143-161
Author(s):  
Aysel T. Ramazanova ◽  
Hamlet F. Kuliyev ◽  
Arnd Roesch
Keyword(s):  
Inverse Problem ◽  
Hyperbolic Equation ◽  
Fourth Order ◽  
Right Hand

On Solvability and Well-Posedness of Boundary Value Problems for Nonlinear Hyperbolic Equations of the Fourth Order

2008 ◽  
Vol 15 (3) ◽  
pp. 555-569
Author(s):  
Tariel Kiguradze
Keyword(s):  
Hyperbolic Equation ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Hyperbolic Equations ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Nonlinear Hyperbolic Equation ◽  
Well Posedness ◽  
Nonlinear Hyperbolic Equations ◽  
Right Hand

Abstract In the rectangle Ω = [0, a] × [0, b] the nonlinear hyperbolic equation 𝑢(2,2) = 𝑓(𝑥, 𝑦, 𝑢) with the continuous right-hand side 𝑓 : Ω × ℝ → ℝ is considered. Unimprovable in a sense sufficient conditions of solvability of Dirichlet, Dirichlet–Nicoletti and Nicoletti boundary value problems are established.

Lipschitz stability in an inverse problem for a hyperbolic equation with a finite set of boundary data

2008 ◽  
Vol 87 (10-11) ◽  
pp. 1105-1119 ◽  
Author(s):  
M. Bellassoued ◽  
D. Jellali ◽  
M. Yamamoto
Keyword(s):  
Inverse Problem ◽  
Hyperbolic Equation ◽  
Boundary Data ◽  
Lipschitz Stability ◽  
Finite Set

Inverse Problem of Determination of the Right-Hand Side of an Equation with Fractional Derivatives In Weight Distributions

2021 ◽  
Vol 258 (4) ◽  
pp. 408-421
Author(s):  
А. О. Lopushansky ◽  
H. P. Lopushanska
Keyword(s):  
Inverse Problem ◽  
Fractional Derivatives ◽  
Right Hand ◽  
Weight Distributions ◽  
The Right
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