Results 71 to 80 of about 5,520,045 (177)

On the existence of a solution for some distributed optimal control hyperbolic system

International Journal of Mathematics and Mathematical Sciences, 2000
We consider a Bolza problem governed by a linear time-varying Darboux-Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state variable.
Dariusz Idczak, Stanislaw Walczak
doaj   +1 more source

On the goursat problem for a linear partial differential equation

, 2020
In this paper, the Goursat problem of a general form for a linear partial differential equation is investigated with the help of the Riemann function method. Some results are given concerning the existence and uniqueness for the solution of the suggested
Utkina Y., Maher A.
core  

Boundary control problem for the telegraph equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
In the paper we consider the boundary control problem for the telegraph equation. We study the case of the short period of control, when the initial and final data determine the solution in two regions, having the common part.
Elena A Kozlova
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On Variants for Solvability of a Three-Dimensional Volterra Equation in Quadratures [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2016
A linear integral equation of the general type with three independent variables, for which the special case of this equation is known, has been studied along with indication of certain variants of solving it in quadratures. In this paper, new variants of
I.M. Shakirova
doaj  

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

Vestnik 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   +1 more source

The global Goursat problem and scattering for nonlinear wave equations [PDF]

, 1990
The Goursat problem for nonlinear scalar equations on the Einstein Universe M̃, with finite-energy datum, has a unique global solution in the positive-energy, Sobolev-controllable case.
Baez, John C., Zhou, Zheng-Fang, Segal, Irving E.   +2 more
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Influence of Heat Transfer on Stress Components in Metallic Plates Weakened by Multi-Curved Holes

Axioms
This manuscript addresses an application study by employing a mathematical model of a thermoelastic plate weakened by multi-curved holes under the effect of stress forces in the presence of heat conduction.
Faizah M. Alharbi, Nafeesa G. Alhendi
doaj   +1 more source

Numerical solution of the Goursat problem by a nonlinear trapezoidal formula [PDF]

, 1988
In this paper the solution of the Goursat problem is obtained by the use of a nonlinear Trapezoidal formula based on geometric means.
Sanugi, B.B., D.J. Evans, Evans, D.J., B.B. Sanugi   +3 more
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A cases of solvability of the integral equation in quadratures

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider Volterra equation with two-variable, commonly encountered in the theory of elasticity. The purpose is to find new variants of sufficient conditions for it’s solvability in explicit calculation. The reduction principle of the original equation,
Inna M Shakirova
doaj   +1 more source

Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt's Theorem. [PDF]

Ann Henri Poincare, 2023
Finster F, Paganini CF.
europepmc   +1 more source