Title: Nonlocal Cauchy problems for wave equations and applications,
Abstract: In this paper, the existence, the uniqueness and estimates of solution to the
integral Cauchy problem for linear and nonlinear abstract wave equations are
proved. The equation includes a linear operator A defined in a Banach space E,
in which by choosing E and A we can obtain numerous classis of nonlocal initial
value problems for wave equations which occur in a wide variety of physical
systems.