Add to ORKGWe present a sufficient condition for a zero of a function that arises typically as the characteristic equation of a linear functional differential equations of neutral type, to be simple and dominant. This knowledge is useful in order to derive the asymptotic behaviour of solutions of such equations. A simple characteristic equation, arisen from the study of delay equations with small delay, is analyzed in greater detail. (C) 2009 Elsevier Inc. All rights reserved
We studied the asymptotic behavior and the oscillatory properties of solutions of the neutral delay ...
AbstractThe method of construction of Liapunov functionals for some equations of neutral type with a...
Delays appear always more frequently in applications, ranging, e.g., from population dynam...
We present a sufficient condition for a zero of a function that arises typically as the characterist...
AbstractIn this article we study asymptotic properties of solutions to first order linear neutral di...
The stability of a delay differential equation can be investigated on the basis of the root location...
AbstractA formula is given that counts the number of roots in the positive half plane of the charact...
In this article, we first study the asymptotic behavior of delay dynamic equations having the follow...
AbstractIn this paper we deal with the linear neutral functional differential equation d[f(xt)]/dt +...
AbstractFor various classes of equations of the general form, ddt(x(t) + δ1 ∝0τ1 x(t − s) dr1(s)) + ...
The stability of a steady state solution of a neutral functional differential equation can be sensit...
AbstractIn this paper we develop a comprehensive theory on the well-posedness of the initial-value p...
In this short review, we present a concise summary of some of the results in the book [1] \On the Ac...
Abstract. A useful inequality for solutions of linear neutral integrodifferen-tial equations with un...
The method of construction of Liapunov functionals for some equations of neutral type with arbitrary...
We studied the asymptotic behavior and the oscillatory properties of solutions of the neutral delay ...
AbstractThe method of construction of Liapunov functionals for some equations of neutral type with a...
Delays appear always more frequently in applications, ranging, e.g., from population dynam...
We present a sufficient condition for a zero of a function that arises typically as the characterist...
AbstractIn this article we study asymptotic properties of solutions to first order linear neutral di...
The stability of a delay differential equation can be investigated on the basis of the root location...
AbstractA formula is given that counts the number of roots in the positive half plane of the charact...
In this article, we first study the asymptotic behavior of delay dynamic equations having the follow...
AbstractIn this paper we deal with the linear neutral functional differential equation d[f(xt)]/dt +...
AbstractFor various classes of equations of the general form, ddt(x(t) + δ1 ∝0τ1 x(t − s) dr1(s)) + ...
The stability of a steady state solution of a neutral functional differential equation can be sensit...
AbstractIn this paper we develop a comprehensive theory on the well-posedness of the initial-value p...
In this short review, we present a concise summary of some of the results in the book [1] \On the Ac...
Abstract. A useful inequality for solutions of linear neutral integrodifferen-tial equations with un...
The method of construction of Liapunov functionals for some equations of neutral type with arbitrary...
We studied the asymptotic behavior and the oscillatory properties of solutions of the neutral delay ...
AbstractThe method of construction of Liapunov functionals for some equations of neutral type with a...
Delays appear always more frequently in applications, ranging, e.g., from population dynam...