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J0URN4L0F INTEGRAL EQUMONS
SERGIU AIZICOVICI Iasi Rumania
T A BURTON Carbondale IL USA
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absolutely continuous abstract Anal Appl apply assume assumptions asymptotically stable Banach space belongs boundary conditions bounded linear operators boundedness C0-semigroup classical solution consider constant continuous functions convergence convolution DA(a defined Definition denote domain equations with infinite estimate evolution equation exists a unique fading memory finite fixed functional differential equations given Grimmer Hence Hilbert space holds hypothesis implies inequality infinite delay Journal of Integral kernel Laplace transform Lemma Liapunov function linear multistep method Ll(R+ Math mild solution monotone Moreover nondecreasing nonincreasing nonlinear Volterra norm obtain parabolic phase space positive proof of Theorem propagation properties Proposition prove real zeros remark replaced resolvent operator respect satisfies Section semigroup seminorm solution of 2.1 stability strict solution sufficiently small Suppose Theorem 2.1 theory tion unique solution value problems viscoelastic Volterra equation Volterra integral equations Volterra integrodifferential equations well-posedness