We consider the Cauchy problem for a nonstrictly hyperbolic equation of arbitrary order with constant coefficients. The operator in the equation is a composition of first-order differential operators. The equation is supplemented with Initial conditions. We find the solution of this problem on a half-plane in analytic form in the case of two independent variables under some conditions on the coefficients
This paper concerns the Cauchy problem for homogeneous weakly hyperbolic equations with time dependi...
none2siWe consider the Cauchy problem for strictly hyperbolic m-th order partial differential equat...
AbstractIn this paper, we consider linear nonconservative Cauchy systems with discontinuous coeffici...
We consider the Cauchy problem for a nonstrictly hyperbolic equation of arbitrary order with constan...
We describe the analytic solution solution of the Cauchy problem for linear hyperbolic equations wit...
On the plane, we consider a linear partial differential equation of arbitrary order of hyperbolic t...
We investigate the Cauchy problem for homogeneous equations of order m in the (t, x)-plane, with coe...
In the paper the Cauchy problem is considered for the hyperbolic differential equation of the $n$-th...
AbstractThis paper contains a proof of γn(χ) correctness of the noncharacteristic Cauchy problem for...
We give an abstract interpretation of initial boundary value problems for hyperbolic equations such ...
The construction of the Cauchy problem solution asymptotics on a small parameter is the aim of the p...
The aim of the paper is to consider a Cauchy problem related to the class of hyperbolic operators wi...
Le problème de Cauchy pour les équations d’onde a ̀ coefficients non Lipschtziens; application au ...
We describe a way to locally solve the Cauchy problem for nonlinear hyperbolic equations with charac...
We investigate an initial boundary value problem for a second-order hyperbolic equation with only in...
This paper concerns the Cauchy problem for homogeneous weakly hyperbolic equations with time dependi...
none2siWe consider the Cauchy problem for strictly hyperbolic m-th order partial differential equat...
AbstractIn this paper, we consider linear nonconservative Cauchy systems with discontinuous coeffici...
We consider the Cauchy problem for a nonstrictly hyperbolic equation of arbitrary order with constan...
We describe the analytic solution solution of the Cauchy problem for linear hyperbolic equations wit...
On the plane, we consider a linear partial differential equation of arbitrary order of hyperbolic t...
We investigate the Cauchy problem for homogeneous equations of order m in the (t, x)-plane, with coe...
In the paper the Cauchy problem is considered for the hyperbolic differential equation of the $n$-th...
AbstractThis paper contains a proof of γn(χ) correctness of the noncharacteristic Cauchy problem for...
We give an abstract interpretation of initial boundary value problems for hyperbolic equations such ...
The construction of the Cauchy problem solution asymptotics on a small parameter is the aim of the p...
The aim of the paper is to consider a Cauchy problem related to the class of hyperbolic operators wi...
Le problème de Cauchy pour les équations d’onde a ̀ coefficients non Lipschtziens; application au ...
We describe a way to locally solve the Cauchy problem for nonlinear hyperbolic equations with charac...
We investigate an initial boundary value problem for a second-order hyperbolic equation with only in...
This paper concerns the Cauchy problem for homogeneous weakly hyperbolic equations with time dependi...
none2siWe consider the Cauchy problem for strictly hyperbolic m-th order partial differential equat...
AbstractIn this paper, we consider linear nonconservative Cauchy systems with discontinuous coeffici...