Exponential stability for abstract linear autonomous functional differential equations with infinite delay.
Exponential stability for singularly perturbed systems with state delays.
Exponential stability in a scalar functional differential equation.
Exponential stability of linear stochastic differential equations with bounded delay and the W-transform.
Exponential stability of switched linear systems with time-varying delay.
Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays
The classical Cayley-Hamilton theorem is extended to continuous-time linear systems with delays. The matrices of the system with delays satisfy algebraic matrix equations with coefficients of the characteristic polynomial.
Extrapolation methods to solve non-autonomous retarded partial differential equations
Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-autonomous perturbation theorem for Hille-Yosida operators. The abstract result is applied to non-autonomous retarded partial differential equations.
Extremal Solutions for a Class of Functional Differential Equations
We study, in Carathéodory assumptions, existence, continuation and continuous dependence of extremal solutions for an abstract and rather general class of hereditary differential equations. By some examples we prove that, unlike the nonfunctional case, solved Cauchy problems for hereditary differential equations may not have local extremal solutions.
Extremal solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales.