AbstractWe show that if the Lyapunov exponents of a linear difference equation x(m+1)=Lmxm are limits, then the same happens with the Lyapunov exponents of the solutions of the nonlinear equation x(m+1)=Lmxm+fm(xm) for any sufficiently small sequence fm. We consider the general case of infinite delay
The aim of this work is to establish a Perron type theorem for some nondensely defined partial funct...
Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are c...
We consider a nonhomogeneous linear delay difference equation with continuous vari-able and establis...
AbstractConsider the system of linear delay difference equations where the coefficients Aj(n) are s...
AbstractFor linear functional difference equations, we obtain some results on the asymptotic behavio...
A linear integral equation with infinite delay is considered where the admissible function space $$...
International audienceThe fundamental matrix and the delay Lyapunov matrix of linear delay differenc...
A new criterion for the oscillation of the solutions to linear difference equations with variable d...
AbstractA class of linear Volterra difference equations with infinite delay is considered. A basic t...
AbstractWe show that under certain conditions there is a one-to-one correspondence between weighted ...
AbstractIn this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0)...
A general class of linear and nonautonomous delay di\ufb00eren- tial equations with initial data in...
AbstractThe importance of Lyapunov functions is well known. In the general setting of nonautonomous ...
AbstractA functional analytic method is used to prove a general theorem which establishes the existe...
It is shown that if a linear difference equation with distributed delay of the form Δx(n)= ∑0 k=−dΔk...
The aim of this work is to establish a Perron type theorem for some nondensely defined partial funct...
Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are c...
We consider a nonhomogeneous linear delay difference equation with continuous vari-able and establis...
AbstractConsider the system of linear delay difference equations where the coefficients Aj(n) are s...
AbstractFor linear functional difference equations, we obtain some results on the asymptotic behavio...
A linear integral equation with infinite delay is considered where the admissible function space $$...
International audienceThe fundamental matrix and the delay Lyapunov matrix of linear delay differenc...
A new criterion for the oscillation of the solutions to linear difference equations with variable d...
AbstractA class of linear Volterra difference equations with infinite delay is considered. A basic t...
AbstractWe show that under certain conditions there is a one-to-one correspondence between weighted ...
AbstractIn this paper, the linear delay difference equation xn+1 −xn = −anxn−k, where an ≥ 0 (n ≥ 0)...
A general class of linear and nonautonomous delay di\ufb00eren- tial equations with initial data in...
AbstractThe importance of Lyapunov functions is well known. In the general setting of nonautonomous ...
AbstractA functional analytic method is used to prove a general theorem which establishes the existe...
It is shown that if a linear difference equation with distributed delay of the form Δx(n)= ∑0 k=−dΔk...
The aim of this work is to establish a Perron type theorem for some nondensely defined partial funct...
Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are c...
We consider a nonhomogeneous linear delay difference equation with continuous vari-able and establis...
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