Results 11 to 20 of about 1,214 (284)

On Boundary Null Controllability of Strongly Degenerate Hyperbolic Systems on Star-Shaped Planar Network

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2021
In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped planar network. The network is represented by a singular measure in a bounded planar domain.
Peter I. Kogut   +2 more
doaj   +3 more sources

Goursat problem for loaded degenerate second order hyperbolic equation with Gellerstedt operator in principal part

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In the paper we study a loaded degenerate hyperbolic equation of the second order with variable coefficients. The principal part of the equation is the Gellerstedt operator.
Anatoly H Attaev
doaj   +2 more sources

Explicit solutions of Cauchy problems for degenerate hyperbolic equations with Transmutations methods [PDF]

open access: yesMathematics and Modeling in Finance, 2022
‎This article's primary goal is to compute an explicit transmutation-based solution to a degenerate hyperbolic equation of second order in terms of time‎.
Mahdieh Aminian Shahrokhabadi   +1 more
doaj   +2 more sources

Recovering Degenerate Kernels in Hyperbolic Integro-Differential Equations

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2002
The problem of recovering a degenerate operator kernel in a hyperbolic integro-differential operator equation is studied. Existence, uniqueness and stability for the solution are proved. A conditional convergence of a sequence of solutions corresponding to degenerate kernels to a solution corresponding to a non-degenerate kernel is shown.
Janno, Jaan, Lorenzi, Alfredo
openaire   +3 more sources

Non-Local Problems for the Fractional Order Diffusion Equation and the Degenerate Hyperbolic Equation

open access: yesFractal and Fractional
This research explores nonlocal problems associated with fractional diffusion equations and degenerate hyperbolic equations featuring singular coefficients in their lower-order terms.
Menglibay Ruziev   +3 more
doaj   +2 more sources

Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions

open access: yesOpen Mathematics, 2017
We are interested in the evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph
Golovaty Yuriy, Flyud Volodymyr
doaj   +3 more sources

The problem with Saigo operators for a hyperbolic equation that degenerates inside the domain

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
A nonlocal problem is investigated for a degenerate hyperbolic equation $$ |y|^{m} u_{xx}-u_{yy}+a |y|^{\frac{m}{2}-1} u_{x}=0 $$ in a domain bounded by the characteristics of this equation.
Oleg A Repin
doaj   +2 more sources

ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2019
Initial boundary value problems in space-time rectangle for the following linear inhomogeneous degenerate wave equation of the second order smooth coefficient function a(x) vanishes in single points of segment.
Vladimir V. Borsch
doaj   +3 more sources

A boundary value problem for a third order hyperbolic equation with degeneration of order inside the domain

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In this paper we study the boundary value problem for a degenerating third order equation of hyperbolic type in a mixed domain. The equation under consideration in the positive part of the domain coincides with the Hallaire equation, which is a ...
Ruzanna Kh Makaova
doaj   +2 more sources

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