On a class of nonclassical hyperbolic equations with nonlocalconditions

[摘要] This paper proves the existence, uniqueness and continuous dependence of asolution of a class of nonclassical hyperbolic equations with nonlocal boundaryand initial conditions. Results are obtained by using a functional analysis methodbased on an a priori estimate and on the density of the range of the linear operatorcorresponding to the abstract formulation of the considered problem.

[学科分类] 应用数学