Existence of solutions of Sobolev-type semilinear mixed integrodifferential inclusions in Banach spaces.
Existence of solutions to a self-referred and hereditary system of differential equations.
Existence principle for advanced integral equations on semiline.
Existence results for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions
The existence of a solution for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions is established. Such equations occur in the study of the p-Laplace equation, generalized reaction-diffusion theory, non-Newtonian fluid theory, and in the study of turbulent flows of a gas in a porous medium. The results are obtained by using upper and lower solutions, and extend some previously known results.
Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions.
Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces
A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
Existence results for second order Volterra integrodifferential equations with deviating arguments
Existence results on the semiinfinite interval for first and second order integrodifferential equations in Banach spaces with nonlocal conditions
Existence theorem for the Hammerstein integral equation
In this paper we prove an existence theorem for the Hammerstein integral equation , where the integral is taken in the sense of Pettis. In this theorem continuity assumptions for f are replaced by weak sequential continuity and the compactness condition is expressed in terms of the measures of weak noncompactness. Our equation is considered in general Banach spaces.
Existence Theorems for a Class of Non-linear Integral Equations.
Existence theorems for a variant of Hammerstein's integral equation
Existence Theorems for Lp - Solutions of Integral Equations in Banach Spaces
Existence theory for nonlinear Volterra integral and differential equations.
Existence, uniqueness and successive approximations for a class of integral-functional equations.
Explicit estimates for some mixed integral inequalities.
Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces.