Nonlinear variational evolution inequalities in Hilbert spaces

Abstract

Abstract. The regular problem for solutions of the nonlinear functional differential equations with a nonlinear hemicontinuous and coercive operator A and a nonlinear term f (·, ·): x (t) + Ax(t) + ∂φ(x(t)) f (t, x(t)) + h(t)is studied. The existence, uniqueness, and a variation of solutions of the equation are given.