Existence of solutions of a class of abstract second order nonlinear integrodifferential equations.
Existence of solutions of a functional-integral equation in infinite dimensional Banach spaces
Existence of solutions of a special class of fuzzy integral equations.
Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
In this paper we discuss the existence of mild and strong solutions of abstract nonlinear mixed functional integrodifferential equation with nonlocal condition by using Sadovskii’s fixed point theorem and theory of fractional power of operators.
Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer.
Existence of solutions of general nonlinear fuzzy Volterra-Fredholm integral equations.
Existence of solutions of impulsive boundary value problems for singular fractional differential systems
A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class of impulsive boundary value problems for singular fractional differential systems in which odd homeomorphism operators (Definition 2.6) are involved. Main results are Theorem 4.1 and Corollary 4.2. The analysis relies on a well known fixed point...
Existence of solutions of integrodifferential evolution equations with time varying delays.
Existence of solutions of th order impulsive integro-differential equations in Banach spaces.
Existence of solutions of nonlinear integrodifferential equation with nonlocal condition.
Existence of solutions of nonlinear stochastic Volterra Fredholm integral equations of mixed type.
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.