Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces.
Fully Nonlinear Integrodifferential Equations in General Banach Space.
Functional differential equations with nonlocal initial conditions.
Generic properties of infinite system of integral equations in Banach spaces
Global existence for second-order functional semilinear integrodifferential equations
Global existence results for first-order integrodifferential identification problems
Holomorphic resolvent for integrodifferential equation with completely positive measure.
Il problema dinamico della viscoelasticità lineare : unicità per le soluzioni illimitate nel remoto passato
Impulsive integral equations in Banach spaces and applications.
Initial value problems for integro-differential equations of Volterra type in Banach spaces.
Integral equations and time varying linear systems.
In this paper we study the resolution problem of an integral equation with operator valued kernel. We prove the equivalence between this equation and certain time varying linear operator system. Sufficient conditions for solving the problem and explicit expressions of the solutions are given.
Integrated semigroups and integrodifferential equations.
Integrodifferential equations with analytic semigroups.
Kneser's Theorem for Weak Solutions of an Integral Equation With Weakly Singular Kernel
Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces
Linear integro-differential equations in Banach spaces
Linear Stieltjes integral equations in Banach spaces
Fundamental results concerning Stieltjes integrals for functions with values in Banach spaces have been presented in [5]. The background of the theory is the Kurzweil approach to integration, based on Riemann type integral sums (see e.g. [3]). It is known that the Kurzweil theory leads to the (non-absolutely convergent) Perron-Stieltjes integral in the finite dimensional case. Here basic results concerning equations of the form x(t) = x(a) +at [A(s)]x(s) +f(t) - f(a) are presented on the basis of...
Linear Stieltjes integral equations in Banach spaces. II. Operator valued solutions
This paper is a continuation of [9]. In [9] results concerning equations of the form x(t) = x(a) +at [A(s)]x(s) +f(t) - f(a) were presented. The Kurzweil type Stieltjes integration in the setting of [6] for Banach space valued functions was used. Here we consider operator valued solutions of the homogeneous problem (t) = I +dt [A(s)](s) as well as the variation-of-constants formula for the former equation.
Linear Volterra equations and integrated solution families.
Local center manifold for parabolic equations with infinite delay
The existence and attractivity of a local center manifold for fully nonlinear parabolic equation with infinite delay is proved with help of a solutions semigroup constructed on the space of initial conditions. The result is applied to the stability problem for a parabolic integrodifferential equation.