Title of article :
BOUNDARY VALUE PROBLEMS FOR PSEUDOHYPERBOLIC EQUATIONS WITH A VARIABLE TIME DIRECTION
Author/Authors :
POTAPOVA, S.V. YSU - Research Institute of Mathematics, Russia
Abstract :
In this paper we study the solvability of boundary value problems for pseudo- hyperbolic equations with a discontinuous coefficient at the highest time derivative and forward- backward time sgn xu_tt - u_xxt + c(x, t)u = f(x , t): We establish the existence and uniqueness theorems.
Keywords :
boundary value problems , pseudohyperbolic equation , time direction change , regular solutions
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
