[图书][B] Semigroups for delay equations
A Bátkai, S Piazzera - 2005 - taylorfrancis.com
In most physical, chemical, biological and economic phenomena it is quite natural to
assume that the system not only depends on the present state but also on past occurrences …
assume that the system not only depends on the present state but also on past occurrences …
Solvability of the Cauchy problem for infinite delay equations
J Liang, TJ Xiao - Nonlinear Analysis: Theory, Methods & Applications, 2004 - Elsevier
In this paper, we study the solvability of the Cauchy problem for functional differential
equations with infinite delay in a Banach space X, which are more general than those in …
equations with infinite delay in a Banach space X, which are more general than those in …
Positivity and stability of delay equations with nonautonomous past
In our paper we discuss the asymptotic behaviour of a linear delay equation with
nonautonomous past. Using positivity and compactness assumptions we obtain a quite …
nonautonomous past. Using positivity and compactness assumptions we obtain a quite …
Partial functional differential equations with nonautonomous past in {}-phase spaces
G Fragnelli, G Nickel - 2003 - projecteuclid.org
PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONAUTONOMOUS PAST IN
Lp− PHASE SPACES 1. Introduction Recently, A. Bátkai and Page 1 Differential and …
Lp− PHASE SPACES 1. Introduction Recently, A. Bátkai and Page 1 Differential and …
[PDF][PDF] Hyperbolicity of delay equations via Fourier multipliers
A Bátkai, E Fasanga, R Shvidkoy - Acta Sci. Math.(Szeged), 2003 - researchgate.net
HYPERBOLICITY OF DELAY EQUATIONS VIA FOURIER MULTIPLIERS Dedicated to Rainer
Nagel on the occasion of his 60th birthday 1. Intro Page 1 HYPERBOLICITY OF DELAY …
Nagel on the occasion of his 60th birthday 1. Intro Page 1 HYPERBOLICITY OF DELAY …
Exponential energy decay of some coupled second order systems
In this paper we characterize the output feedback stabilization of some coupled systems with
and without delay. The proof of the main result uses the method introduced in Haraux (Port …
and without delay. The proof of the main result uses the method introduced in Haraux (Port …
A semigroup method for delay equations with relatively bounded operators in the delay term
A Bátkai, S Piazzera - Semigroup Forum, 2001 - Springer
We consider well-posedness and stability of abstract partial differential equations with
unbounded operators in their delay terms. We show that the problem is equivalent to an …
unbounded operators in their delay terms. We show that the problem is equivalent to an …
Hyperbolicity of linear partial differential equations with delay
A Bátkai - Integral Equations and Operator Theory, 2002 - Springer
Hyperbolicity of linear partial differential equations with delay Page 1 Integr. equ. oper.
theory 44 (2002) 383-396 0378-620)(/02/040383-14 9 Birkh~iuser Verlag, Basel, 2002 I …
theory 44 (2002) 383-396 0378-620)(/02/040383-14 9 Birkh~iuser Verlag, Basel, 2002 I …
Well-posedness and stability of nonautonomous past systems with unbounded operators in the delay term
We study partial functional differential equations with nonautonomous past, in which we
allow unbounded operators to act on the modified delay term. Using semigroup methods …
allow unbounded operators to act on the modified delay term. Using semigroup methods …
On the effect of small delays to the stability of feedback systems
On the Effect of Small Delays to the Stability of Feedback Systems Page 1 Progress in
Nonlinear Differential Equations and Their Applications, Vol. 55, 83- 94 © 2003 Birkhauser …
Nonlinear Differential Equations and Their Applications, Vol. 55, 83- 94 © 2003 Birkhauser …