期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2004
卷号：2004
DOI：10.1155/S0161171204204240
出版社：Hindawi Publishing Corporation
摘要：We investigate an initial boundary value problem for a
second-order hyperbolic equation with only integral conditions.
We show the existence, uniqueness, and continuous dependence of a
strongly generalized solution. The proof is based on an energy
inequality established in a nonclassical function space, and on
the density of the range of the operator associated to the
abstract formulation of the studied problem by introducing
special smoothing operators.
