Add to ORKGAbstract. One boundary value problem for a hyperbolic equation with power nonlinearity and the iterated wave operator in the principal part is considered in a conical domain. Depending on the index of nonlinearity and spatial dimensionality of the equation the question on the existence and uniqueness of a solution of a boundary value problem is investigated. The question as to the absence of a solution of this problem is also considered
We consider weakly hyperbolic equations of the type utt(t)+a(t)Au(t)=f(t,u(t)), u(0)=u0, ut(0)=u1, u...
© 2005 - 2015 JATIT & LLS. All rights reserved. In the paper we consider the boundary value problem ...
We consider the Dirichlet spectral problem with the homogeneous boundary conditions in a cylindrical...
Abstract. A characteristic boundary-value problem for a hyperbolic equation with power nonlinearity ...
AbstractWe consider one multidimensional version of the Cauchy characteristic problem in the light c...
We study a boundary value problem for nonlinear partial differential equations of the hyperbolic typ...
We study a boundary value problem for nonlinear partial differential equations of the hyperbolic typ...
Abstract. Traditionally, boundary value problems have been studied for elliptic differ-ential equati...
In this work we prove a result concernig the existence and uniqueness of solutions of quasilinear wa...
In this dissertation, we consider two initial-boundary value problems for nonlinear wave equations. ...
For wave equations with power nonlinearity we investigate the problem of the existence or nonexisten...
We prove that a semilinear wave equation in which the range of the derivative of the nonlinearity in...
We study certain boundary value problems for the one-dimensional wave equation posed in a time-depen...
AbstractFor the nonlinear hyperbolic equationu(2,1)=f(x,t,u,u(1,0),u(2,0),u(0,1),u(1,1)) problems on...
This is the second volume in the University Lecture Series, designed to make more widely available s...
We consider weakly hyperbolic equations of the type utt(t)+a(t)Au(t)=f(t,u(t)), u(0)=u0, ut(0)=u1, u...
© 2005 - 2015 JATIT & LLS. All rights reserved. In the paper we consider the boundary value problem ...
We consider the Dirichlet spectral problem with the homogeneous boundary conditions in a cylindrical...
Abstract. A characteristic boundary-value problem for a hyperbolic equation with power nonlinearity ...
AbstractWe consider one multidimensional version of the Cauchy characteristic problem in the light c...
We study a boundary value problem for nonlinear partial differential equations of the hyperbolic typ...
We study a boundary value problem for nonlinear partial differential equations of the hyperbolic typ...
Abstract. Traditionally, boundary value problems have been studied for elliptic differ-ential equati...
In this work we prove a result concernig the existence and uniqueness of solutions of quasilinear wa...
In this dissertation, we consider two initial-boundary value problems for nonlinear wave equations. ...
For wave equations with power nonlinearity we investigate the problem of the existence or nonexisten...
We prove that a semilinear wave equation in which the range of the derivative of the nonlinearity in...
We study certain boundary value problems for the one-dimensional wave equation posed in a time-depen...
AbstractFor the nonlinear hyperbolic equationu(2,1)=f(x,t,u,u(1,0),u(2,0),u(0,1),u(1,1)) problems on...
This is the second volume in the University Lecture Series, designed to make more widely available s...
We consider weakly hyperbolic equations of the type utt(t)+a(t)Au(t)=f(t,u(t)), u(0)=u0, ut(0)=u1, u...
© 2005 - 2015 JATIT & LLS. All rights reserved. In the paper we consider the boundary value problem ...
We consider the Dirichlet spectral problem with the homogeneous boundary conditions in a cylindrical...