Approximation of mild solutions of delay integro-differential equations on Banach spaces

DOI10.3934/EECT.2023029zbMath1525.45009OpenAlexW4381664721MaRDI QIDQ6053582

Khalil Ezzinbi, Mohammed Elghandouri

Publication date: 27 September 2023

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2023029

zbMATH Keywords

integro-differential equationsmild solutionsdelay equationsresolvent operators

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Applications of operator theory to differential and integral equations (47N20) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

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• Generality of the final size formula for an epidemic of a newly invading infectious disease
• Bounded solutions to a class of semilinear integro-differential equations in Banach spaces
• The spectral methods for parabolic Volterra integro-differential equations
• Bounded mild solutions for semilinear integro differential equations in Banach spaces
• Almost automorphic solutions for differential equations with piecewise constant argument in a Banach space
• Smoothing effect and propagations of singularities for viscoelastic plates
• Delay differential equations: with applications in population dynamics
• A finite-difference method for a singularly perturbed delay integro-differential equation
• On approximation of the solutions of delay differential equations by using piecewise constant arguments
• On the almost automorphy of bounded solutions of differential equations with piecewise constant argument
• Stability of an integro-differential equation
• Existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces
• Some considerations for linear integrodifferential equations
• Hyperbolic integrodifferential equations arising in the electromagnetic theory of dielectrics
• Introduction to functional differential equations
• On existence, uniqueness and numerical approximation for neutral equations with state-dependent delays
• Spreading disease: Integro-differential equations old and new.
• Stability of \(\vartheta\)-methods for delay integro-differential equations.
• Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model
• Almost periodic solutions of certain differential equations with piecewise constant delays and almost periodic time dependence
• Stability of Runge-Kutta methods for delay integro-differential equations
• Numerical modelling in biosciences using delay differential equations
• Mathematical modelling of the intravenous glucose tolerance test
• Uniform approximation of impulsive Hopfield cellular neural networks by piecewise constant arguments on \([\tau,\infty)\)
• Asymptotically almost periodic solutions for certain differential equations with piecewise constant arguments
• Approximation of mild solutions of delay differential equations on Banach spaces
• Stability of differential equations with piecewise constant arguments of generalized type
• Mathematical models and software tools for the glucose\,-\,insulin regulatory system and diabetes: an overview
• Differential equations: Stability, oscillations, time lags
• Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems
• Series Expansions for Resolvents of Volterra Integrodifferential Equations in Banach Space
• Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments
• Resolvent Operators for Integral Equations in a Banach Space
• Numerical Methods for Delay Differential Equations
• Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Abstract Volterra Integro-Differential Equations
• Oscillatory and periodic solutions of differential equations with piecewise constant generalized mixed arguments
• Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
• Analysis of IVGTT glucose-insulin interaction models with time delay
• On a delay integro-differential equation in Banach space

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