Results 261 to 270 of about 4,284 (291)

Partial Differential Equations of Hyperbolic Type

2004
In the present chapter we consider the abstract Cauchy problem for differential equations of the hyperbolic type $$\upsilon ''\left( t \right) + A\upsilon \left( t \right) = f\left( t \right)\left( {0 \leqslant t \leqslant T} \right),\upsilon \left( 0 \right) = {{\upsilon }_{0}},\upsilon '\left( 0 \right) = {\text{ }}{{\upsilon '}_{0}}$$ in an ...
Allaberen Ashyralyev, Pavel E. Sobolevskii   +1 more
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Impulsive Partial Hyperbolic Functional Differential Equations

2012
In this chapter, we shall present existence results for some classes of initial value problems for fractional order partial hyperbolic differential equations with impulses at fixed or variable times impulses.
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
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Hyperbolic Quasi Linear Partial Differential Equations

2020
We call a differential equation quasi linear if the partial derivatives of the dependent variables are multiplied by functions of the dependent variables.
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On fuchsian hyperbolic partial differential equations

1986
In this paper, I shall give some results concerning the following problem: construc~ a theory of " regular singularities " for partial differential equations. In the case of ordinary differential equations, " regular singularities " have been completely investigated and the theory is one of the most beautiful theories in analysis (see Wasow [6]).
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Analysis of Preconditioners for Hyperbolic Partial Differential Equations

SIAM Journal on Numerical Analysis, 1996
It sometimes happens that in the solution of a hyperbolic system one is not interested in the fastest waves. Thus, a meteorologist may wish to solve the equations of gas dynamics without keeping track of sound waves or gravity waves. In such instances implicit methods are required, and the question addressed here is that of finding efficient solvers ...
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Parabolic and Hyperbolic Partial Differential Equations

1990
We consider the temperature distribution y(x,t) along a homogeneous rod of length L, which at one end (x=L) is held at temperature 0, while at the other end (x=0) the temperature is prescribed as a function b(t) of time. Let the thermal conductivity of the rod be f(x), the initial temperature be given as a(x), and let there be interior heat generation ...
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Asymptotic behaviour of hyperbolic partial differential equations

2023
We investigate the asymptotic behaviour of solutions to a range of linear and nonlinear hyperbolic equations on asymptotically flat spacetimes. We develop a comprehensive framework for the analysis of pointwise decay of linear and nonlinear wave equations on asymptotically flat manifolds of three space dimensions that are allowed to be time-varying or ...
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Notions on Hyperbolic Partial Differential Equations

1997
In this chapter we study some elementary properties of a class of hyperbolic Partial Differential Equations (PDEs). The selected aspects of the equations are those thought to be essential for the analysis of the equations of fluid flow and the implementation of numerical methods.
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Systems of Hyperbolic Partial Differential Equations.

1994
Abstract : This description of results from the project covers research in two areas: (1) Wave propagation for equations describing elastoplastic deformations of granular materials. (2) Hyperbolic conservation laws.
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Hyperbolic Partial Differential Equations

2009
Pavel B. Bochev, Max D. Gunzburger
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