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A CAUCHY PROBLEM FOR ABSTRACT FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Fractional differential equation infinite delay mild solution
2008/11/28
In this paper, we investigate the mild solutions of a Cauchy problem for abstract fractional
differential equations with infinite delay. Several theorems of existence and
uniqueness of mild solution...
A REMARK ON STABILITY OF A CLASS OF POSITIVE LINEAR DELAY SYSTEMS IN BANACH LATTICES
robustness delay-independent exponential stability stability radius positive system delay system
2008/11/26
In this paper, we give an extension of the classical Perron-Frobenius theorem to a
class of positive quasi-polynomial operators. Then the obtained results are applied to
show that delay-independent ...
APPROXIMATE CONTROLLABILITY OF NONAUTONOMOUS PAST DELAY EQUATIONS
Partial differential equations with delay semigroup resolvent approximate controllability population equation
2008/11/25
In this paper, we study the approximate controllability of partial differential equations with
nonautonomous past delay in Lp -phase spaces. We illustrate our abstract results by the approximate
con...
THE EXISTENCE AND NONEXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR NEUTRAL DELAY COMPETITION MODEL
Coincidence degree neutral functional differential equation positive periodic solution
2008/11/25
By using the theory of coincidence degree, sufficient conditions for the existence and
nonexistence of positive periodic solutions of a class of neutral delay competition model
are obtained.
Smooth Dependence by LAG of the Solution of a Delay Integro-Differential Equation from Biomathematics
neutral delay integro-differential equation Perov’s fixed point theorem Picard operators successive approximations sequence smooth dependence by lag
2008/11/25
Using the Perov’s fixed point theorem and the theorem of fiber generalized contractions,
we obtain the smooth dependence by lag of the positive periodic solution
of a neutral delay integro-different...