On the existence of solutions to some nonlinear integrodifferential equations with delays.
On the existence of weak solutions of integral equations in Banach spaces
In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.
On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel
On the global solvability of the Cauchy problem for singular functional differential equations.
On the Hammerstein equation in the space of functions of bounded -variation in the plane
In this paper we study existence and uniqueness of solutions for the Hammerstein equation in the space of function of bounded total variation in the sense of Riesz, where , and are suitable functions.
On the Hammerstein integral equations in Banach spaces
On the nonexistence of positive solution of some singular nonlinear integral equations.
On the non-exponential decay to equilibrium of solutions of nonlinear scalar Volterra integro-differential equations.
On the number of solutions of some integral equations arising in radiative transfer.
On the oscillation of a Volterra integral equation
On the oscillatory properties of the solutions of a class of integro- differential equations of neutral type.
On the percolation of water from a cylindrical reservoir into the surrounding soil
On the positivity and zero crossings of solutions of stochastic Volterra integrodifferential equations.
On the semilinear integro-differential nonlocal Cauchy problem
In this paper, we prove an existence theorem for the pseudo-non-local Cauchy problem , x₀(t₀) = x₀ - g(x), where A is the infinitesimal generator of a C₀ semigroup of operator on a Banach space. The functions f,g are weakly-weakly sequentially continuous and the integral is taken in the sense of Pettis.
On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.
On the stability of numerical methods for nonlinear Volterra integral equations.
On the strong stability of a nonlinear Volterra integro-differential system.
On the structure of -solution sets of integral equations in Banach spaces
On the structure of the set of solutions of a Volterra integral equation in a Banach space
The set of solutions of a Volterra equation in a Banach space with a Carathéodory kernel is proved to be an , in particular compact and connected. The kernel is not assumed to be uniformly continuous with respect to the unknown function and the characterization is given in terms of a B₀-space of continuous functions on a noncompact domain.
On the Urysohn Integral Equation in Locally Convex Spaces