Results 31 to 40 of about 5,520,045 (177)

The problem with shift for a degenerate hyperbolic equation of the first kind [PDF]

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems. Theorems on an existence
Zhiraslan A. Balkizov
doaj   +1 more source

On problems with displacement in boundary conditions for hyperbolic equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We consider three problems for hyperbolic equation on a plane in the characteristic domain. In these problems at least one of the conditions of the Goursat problem is replaced by nonlocal condition on the relevant characteristic. Non-local conditions are
Elena A Utkina
doaj   +1 more source

Goursat’s problem on the plane for a quasilinear hyperbolic equation

Doklady of the National Academy of Sciences of Belarus, 2022
A classical solution of the problem for a quasilinear hyperbolic equation in the case of two independent variables with given conditions for the desired function on the characteristic lines is obtained. The problem is reduced to a system of equations with a completely continuous operator.
Korzyuk, Viktor Ivanovich, Kovnatskaya, Ol'ga Anatol'evna, Sevastyuk, Vladimir Aleksandrovich   +2 more
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Goursat problem in Hyperbolic partial differential equations with variable coefficients solved by Taylor collocation method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The hyperbolic partial differential equation (PDE) has important practical uses in science and engineering. This article provides an estimate for solving the Goursat problem in hyperbolic linear PDEs with variable coefficients.
F. Birem, A. Boulmerka, H. Laib, C. Hennous   +3 more
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Existence and uniqueness of nonlinear Goursat problem in the class of Denjoy–Carleman

Partial Differential Equations in Applied Mathematics
The problem of existence and uniqueness of nonlinear Goursat is studied by Claude Wagschal in different spaces: holomorphic spaces, partially holomorphic, continuous-Gevrey and Gevrey-holomorphic.
Smail Latreche, Kaddour Guerbati, Rafik Guefaifia, Ibrahim Mekawy, Asma Alharbi, Rashid Jan   +5 more
doaj   +1 more source

ON MATHEMATICAL MODELS OF THE ALLER EQUATION

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016
The solution to the Goursat problem is written out explicitly for a hyperbolic secondorder loaded equation, proposed as a mathematical model of Aller equation under certain conditions.
Khubiev K. U.
doaj   +1 more source

A uniqueness theorem for a goursat-type problem

Applied Mathematics Letters, 1992
Consider the problem (1) \(u_{tt}- \Delta u+ q(x)u=0\), \(x\in\mathbb{R}^ 3\), \(-r\leq t\leq r\), \(r=| x|\), (2) \(u=0\) at \(t=\pm r\), \[ \varliminf_{R\to\infty} \int_{| s|=R} \int_{-R}^ R | u_ r\mp u_ t|^ 2 dt ds=0.\tag{3} \] The boundary data are given on the characteristic cone \(t=\pm r\). Condition (3) is a condition at infinity. Assume that \(
Mishnaevskii, P.A., Ramm, A.G.
openaire   +2 more sources

The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
We consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form.
Aleksandr Anatol'evich Andreev, Juliya Olegovna Yakovleva   +1 more
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Uniqueness Theorems for Goursat-Type Problems

Journal of Differential Equations, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mishnaevskii, P.A., Ramm, A.G.
openaire   +2 more sources

Heights on ‘hybrid orbits’ in Shimura varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source