Abstract
Existence, uniqueness and regularity of weak solutions of semilinear second order Volterra integro-differential equations in Hilbert space are established by the variational method. As an application we give a well-posedness result for the semilinear viscoelastic equations with long memory.
Citation
Jin-soo Hwang. Shin-ichi Nakagiri. "ON SEMI-LINEAR SECOND ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS IN HILBERT SPACE." Taiwanese J. Math. 12 (3) 679 - 701, 2008. https://doi.org/10.11650/twjm/1500602429
Information
