On linear Volterra difference equations with infinite delay.
Philos, Ch.G., Purnaras, I.K. (2006)
Advances in Difference Equations [electronic only]
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Displaying similar documents to “Robustness of solutions of linear differential equations with infinite delay.”
On linear Volterra difference equations with infinite delay.
On time transformations for differential equations with state-dependent delay
Alexander Rezounenko (2014)
Open Mathematics
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Systems of differential equations with state-dependent delay are considered. The delay dynamically depends on the state, i.e. is governed by an additional differential equation. By applying the time transformations we arrive to constant delay systems and compare the asymptotic properties of the original and transformed systems.
Semigroup approach to semilinear partial functional differential equations with infinite delay.
Bouzahir, Hassane (2007)
Journal of Inequalities and Applications [electronic only]
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Existence results for a partial neutral integro-differential equation with state-dependent delay.
Dos Santos, J.P.C. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Solvability of nonautonomous fractional integrodifferential equations with infinite delay.
Li, Fang (2011)
Advances in Difference Equations [electronic only]
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Existence of solutions for abstract neutral integro-differential equations with unbounded delay
Eduardo M. Hernández, Donal O'Regan (2011)
Czechoslovak Mathematical Journal
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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 results for first order impulsive functional differential equations with state-dependent delay
Mouffak Benchohra, Benaouda Hedia (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper we study the existence of solutions for impulsive differential equations with state dependent delay. Our results are based on the Leray–Schauder nonlinear alternative and Burton–Kirk fixed point theorem for the sum of two operators.
Characterization of shadowing for linear autonomous delay differential equations
Mihály Pituk, John Ioannis Stavroulakis (2025)
Czechoslovak Mathematical Journal
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A well-known shadowing theorem for ordinary differential equations is generalized to delay differential equations. It is shown that a linear autonomous delay differential equation is shadowable if and only if its characteristic equation has no root on the imaginary axis. The proof is based on the decomposition theory of linear delay differential equations.
An asymptotic result for some delay difference equations with continuous variable.
Philos, Ch.G., Purnaras, I.K. (2004)
Advances in Difference Equations [electronic only]
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