Results 71 to 80 of about 6,408,424 (182)

On the Levi condition for Goursat problem

Kyoto Journal of Mathematics, 1987
The author treats the following differential operator \[ (1)\quad P(D_ t,D_ x,D_ y)=\sum^{m}_{j=\ell}C_ j(D_ x,D_ y)D_ t^{m- j}=P_ m+\sum^{m}_{k=1}P_{m-k}, \] where \(C_ j(\zeta,\eta)\) is a polynomial with constant coefficients of order \(\leq j\), and \(P_ j\) is a homogeneous part of degree j of P. Let \[ P_ m(\tau,\zeta,\eta)=\prod^{n'}_{j=1}(\zeta
openaire   +3 more sources

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
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An addition to the cases of solvability of the Goursat problem in quadratures [PDF]

, 2017
© 2017, Pleiades Publishing, Ltd.Six new versions of solvability conditions for the Goursat problem in quadratures are formulated in terms of the coefficients of a linear inhomogeneous hyperbolic ...
Sozontova E., Zhegalov V.
core  

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
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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
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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

On solvability of a nonlocal problem with integral conditions for hyperbolic equation in characteristic domain

Вестник Самарского университета: Естественнонаучная серия
In this article, we study a nonlocal problem for hyperbolic equation in characteristic domain. Additional information on desired solution is given in the form of integrals.
L. S. Pulkina, A. N. Smirnova
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Nonlocal Problem for the Time-Fractional Hyperbolic-Type Equation with the Prabhakar Fractional Derivative

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
In this paper, we investigate a nonlocal boundary value problem for a time-fractional hyperbolic-type partial differential equation involving fractional derivatives of regularized Prabhakar.
Turdiev, Kh.N.
doaj   +1 more source

An addition to the cases of solvability of the Goursat problem in quadratures

, 2020
© 2017, Pleiades Publishing, Ltd.Six new versions of solvability conditions for the Goursat problem in quadratures are formulated in terms of the coefficients of a linear inhomogeneous hyperbolic ...
Sozontova E., Zhegalov V.
core  

Generalizations of the Goursat and Darboux – Goursat – Baudot problems in spaces of generalized functions of infinite order [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
The article investigates the fundamental continuation problem for generalized solutions of systems of linear differential equations with constant coefficients P(D)u=0 in a multidimensional parallelepiped $\pi \subset \mathbb{R}^n$.
Berdimuratov, Amangeldi Muchtarovich
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