Existence and uniqueness of mild solutions of second order Volterra integrodifferential equations with nonlocal conditions.
Existence and uniqueness of solutions for the fractional integro-differential equations in Banach spaces.
Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in Banach spaces.
Existence and uniqueness of solutions to fractional semilinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.
Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
We consider systems of integral-algebraic and integro-differential equations with weakly singular kernels. Although these problem classes are not in the focus of the main stream literature, they are interesting, not only in their own right, but also because they may arise from the analysis of certain classes of differential-algebraic systems of partial differential equations. In the first part of the paper, we deal with two-dimensional integral-algebraic equations. Next, we analyze Volterra integral...
Existence and upper semicontinuity of global attractors for neural fields in an unbounded domain.
Existence of extremal solutions of a three-point boundary value problem for a general second order -Laplacian integro-differential equation.
Existence of global solutions to nonlinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.
Existence of mild solutions to fractional integrodifferential equations of neutral type with infinite delay.
Existence of nonnegative periodic solutions in neutral integro-differential equations with functional delay
The fixed point theorem of Krasnoselskii and the concept of large contractions are employed to show the existence of a periodic solution of a nonlinear integro-differential equation with variable delay We transform this equation and then invert it to obtain a sum of two mappings one of which is completely continuous and the other is a large contraction. We choose suitable conditions for , , , and to show that this sum of mappings fits into the framework of a modification of Krasnoselskii’s...
Existence of periodic solutions for first-order totally nonlinear neutral differential equations with variable delay
We use a modification of Krasnoselskii’s fixed point theorem due to Burton (see [Liapunov functionals, fixed points and stability by Krasnoselskii’s theorem, Nonlinear Stud. 9 (2002), 181–190], Theorem 3) to show that the totally nonlinear neutral differential equation with variable delay has a periodic solution. We invert this equation to construct a fixed point mapping expressed as a sum of two mappings such that one is compact and the other is a large contraction. We show that the mapping fits...
Existence of periodic solutions for integrodifferential impulsive periodic system on Banach space.
Existence of positive solutions to some impulsive second-order integrodifferential equations.
Existence of solutions and controllability of nonlinear integro-differential systems in Banach spaces.
Existence of solutions for a class of quasi-linear singular integro-differential equations in a Sobolev space.
Existence of Solutions for a Class of Quasi-Linear Singular Integro-Differential Equations
2000 Mathematics Subject Classification: 45F15, 45G10, 46B38.An existence theorem is proved for a class of quasi-linear singular integro-differential equations with Cauchy kernel.
Existence of solutions for a weighted -Laplacian impulsive integrodifferential system with multipoint and integral boundary value conditions.
Existence of solutions for abstract neutral integro-differential equations with unbounded delay
In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay. A concrete application to partial neutral integro-differential equations is considered.
Existence of solutions for integrodifferential equations of fractional order with antiperiodic boundary conditions.
Existence of Solutions for Integrodifferential Inclusions in Banach Spaces