## Journal of Integral Equations, Volumes 7-8 |

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Anal analysis applications approximate solution arbitrary assume assumptions asymptotic Banach space boundary value problem bounded linear operator bounded set compact condition consider constant continuous functions convergence convex convolution Corollary defined Definition denote Department of Mathematics differential equations distribution eigenvalue Elsevier Science Publishing equation 2.1 estimate finite follows Fredholm integral equations given Hence Hilbert Hilbert transform holds implies inequality integral operator integrodifferential equation interval inverse Journal of Integral kernel Lemma linear operator Lipschitz Lipschitz continuous Math matrix measurable function methods nonlinear nonnegative norm obtain operator equations ordered Banach space paper periodic functions proof of Theorem Proposition prove random operator random solution remark renewal theorem result right-hand side satisfies second kind Section semigroup sequence set-valued mapping stochastic subset Suppose Theorem 2.1 theory tion topology transform uniformly bounded unique solution vector Volterra equation Volterra integral equations York zero