Second order semilinear Volterra integrodifferential equation in Banach space
Volume 57 / 1992
Annales Polonici Mathematici 57 (1992), 231-241
DOI: 10.4064/ap-57-3-231-241
Abstract
By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of some semilinear second order Volterra integrodifferential equations in Banach spaces is proved. The results are applied to some integro-partial differential equations.