Results 21 to 30 of about 129 (44)

A Nekhoroshev Theorem for some Infinite Dimensional Systems [PDF]

, 2006
We study the persistence for long times of the solutions of some infinite--dimensional discrete hamiltonian systems with {\it formal hamiltonian} $\sum_{i=1}^\infty h(A_i) + V(\vp),$ $(A,\vp)\in {\Bbb R}^{\Bbb N}\times {\Bbb T}^{\Bbb N}.$ $V(\vp)$ is
Perfetti, P
core   +2 more sources

Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations

Abstract and Applied Analysis, Volume 4, Issue 3, Page 169-194, 1999., 1999
We investigate the asymptotic properties of the inhomogeneous nonautonomous evolution equation (d/dt)u(t) = Au(t) + B(t)u(t) + f(t), t ∈ ℝ, where (A, D(A)) is a Hille‐Yosida operator on a Banach space X, B(t), t ∈ ℝ, is a family of operators in ℒ(D(A)¯,X) satisfying certain boundedness and measurability conditions and f∈L loc 1(ℝ,X).
Gabriele Gühring, Frank Räbiger
wiley   +1 more source

Asymptotic equivalence of differential equations and asymptotically almost periodic solutions [PDF]

, 2007
In this paper we use Rab's lemma [M. Rab, Uber lineare perturbationen eines systems von linearen differentialgleichungen, Czechoslovak Math. J. 83 (1958) 222-229; M.
Akhmet, Marat, Tleubergenova, M. A., Zafer, A.   +2 more
core   +1 more source

Flows on solenoids are generically not almost periodic

, 1999
The space of non-singular flows on any given solenoid is shown to contain a generic subset consisting of flows that are not almost periodic.
Clark, Alex
core   +1 more source

On first‐order differential operators with Bohr‐Neugebauer type property

International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 473-476, 1989., 1987
We consider a differential equation ddtu(t)‐Bu(t)=f(t), where the functions u and f map the real line into a Banach space X and B: X →X is a bounded linear operator. Assuming that any Stepanov‐bounded solution u is Stepanov almost‐periodic when f is Bochner almost‐periodic, we establish that any Stepanov‐bounded solution u is Bochner almost‐periodic ...
Aribindi Satyanarayan Rao
wiley   +1 more source

Almost periodic evolution systems with impulse action at state-dependent moments

, 2016
We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding the beating phenomenon in these systems.
Hakl, Robert, Pinto, Manuel, Tkachenko, Viktor, Trofimchuk, Sergei   +3 more
core   +1 more source

Fractional modelling of gradual incorporation of infected prey into the predator-prey system with consideration of seasonality

Applied Mathematics in Science and Engineering
Prey-predator models are essential for understanding the dynamics of ecological systems, where predators consume prey and population fluctuations are influenced by factors such as birth rates, death rates, and resource availability.
Seda Igret Araz, Salah Boulaaras
doaj   +1 more source

Entrainment of modulation frequency: A case study [PDF]

, 2005
We consider a system of autonomous ODE's which is $S^1$-equivariant and has a family of asymptotically stable modulated wave solutions with wave frequency $\alpha_0$ and modulation frequency $\beta_0$.
Recke, Lutz, Schneider, Klaus R.
core   +1 more source

Levinson Theorem for Differential Equations with Piecewise Constant Argument Generalized [PDF]

, 2015
In this work, it is presented an adaptation of an asymptotic theorem of N. Levinson of 1948, to differential equation with piecewise constant argument generalized, which were introduced by M. Akhmet in 2007.
Castillo, Samuel, Flores, Wilfred
core  

Semi-periodic solutions of difference and differential equations

, 2012
International audienceThe spaces of semi-periodic sequences and functions are examined in the relationship to the closely related notions of almost-periodicity, quasi-periodicity and periodicity.
Andres, Jan, Pennequin, Denis
core   +2 more sources