Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditions.
Einschliessungsaussagen für Differentialoperatoren vierter Ordnung und ein Verfahren zur Berechnung von Schrankenfunktionen.
Equivalence of Volterra integral equations
Estimation for bounded solutions of integral inequalities involving infinite integration limits.
Evolution in a changing environment: existence of solutions
We establish the existence of solutions of an intrinsically nonlinear differential-integral equation that arises from the mathematical modelling of the evolution of an asexual population in a changing environment. The main objective is to pave the way for a rigorous analysis of the linear stability of travelling wave solutions of the corresponding problem.
Existence and analytic approximation of solutions of Duffing type nonlinear integro-differential equation with integral boundary conditions.
Existence and asymptotic behavior of solutions for weighted -Laplacian integrodifferential system multipoint and integral boundary value problems in half line.
Existence and Stability of Periodic Solutions for Nonlinear Neutral Differential Equations with Variable Delay Using Fixed Point Technique
Our paper deals with the following nonlinear neutral differential equation with variable delay By using Krasnoselskii’s fixed point theorem we obtain the existence of periodic solution and by contraction mapping principle we obtain the uniqueness. A sufficient condition is established for the positivity of the above equation. Stability results of this equation are analyzed. Our results extend and complement some results obtained in the work [Yuan, Y., Guo, Z.: On the existence and stability of...
Existence and uniqueness of mild solution for fractional integrodifferential equations.
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 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.