An abstract nonlinear second order differential equation
Volume 54 / 1991
Annales Polonici Mathematici 54 (1991), 155-166
DOI: 10.4064/ap-54-2-155-166
Abstract
By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.
