Results 81 to 90 of about 12,187,697 (193)

On the Levi condition for Goursat problem

open access: yesKyoto 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

Qualitative analysis of fourth-order hyperbolic equations

open access: yesFrontiers in Applied Mathematics and Statistics
We investigate the qualitative properties of weak solutions to the boundary value problems for fourth-order linear hyperbolic equations with constant coefficients in a plane bounded domain convex with respect to characteristics.
Yuliia Andreieva   +2 more
doaj   +1 more source

Adomian Decomposition Method for Solving Goursat's Problems

open access: yesApplied Mathematics, 2011
In this paper, Goursat’s problems for: linear and nonlinear hyperbolic equations of second-order, systems of nonlinear hyperbolic equations and fourth-order linear hyperbolic equations in which the attached conditions are given on the characteristics curves are transformed in such a manner that the Adomian decomposition method (ADM) can be applied ...
openaire   +2 more sources

Studying a system of non-local condition hyperbolic equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
Local boundary value problems for hyperbolic differential equations have been studied in considerable detail. However, the mathematical modeling of a number of real-world processes leads to nonlocal boundary value problems involving nonlinear hyperbolic
Y.A. Sharifov, A.R. Mammadli
doaj   +1 more source

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