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 ) + A x ( 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.