Bourgin–Yang-type theorem for -compact perturbations of closed operators. I: The case of index theories with dimension property.
Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative
2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones. Whereas the Riemann-Liouville definition of a fractional derivative is usually employed in mathematical texts and not so frequently in applications, and the Grünwald-Letnikov definition – for numerical approximation of both Caputo and Riemann-Liouville fractional derivatives,...
Cone-valued impulsive differential and integrodifferential inequalities.
Construction of Lyapunov functionals for linear Volterra integrodifferential equations and stability of delay systems.
Convergence for hyperbolic singular perturbation of integrodifferential equations.
Convergence of a Discretization Method for Integrodifferential Equations.
Convergence of multistep methods for Volterra integro-differential equations
Different models of chemotherapy taking into account drug resistance stemming from gene amplification
This paper presents an analysis of some class of bilinear systems that can be applied to biomedical modelling. It combines models that have been studied separately so far, taking into account both the phenomenon of gene amplification and multidrug chemotherapy in their different aspects. The mathematical description is given by an infinite dimensional state equation with a system matrix whose form allows decomposing the model into two interacting subsystems. While the first one, of a finite dimension,...
Differential and Integral Equations [Book]
Direct and inverse problems in the theory of materials with memory
Duality theory for linear -th order integro-differential operators with domain in determined by interface side conditions
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.