Journal of Dynamical and Control Systems

Consider the set źnw0$\chi ^{0}_{\text {nw}}$ of non-wandering continuous flows on a closed surface M. Then we show that such a flow can be approximated by a non-wandering flow v such that the complement MźPer(v) of the set of periodic points is the ...

In this paper, we study the existence of mild solutions and the approximate controllability of nonlinear fractional nonlocal neutral impulsive stochastic differential equations of order 1 <q < 2 with infinite delay and Poisson jumps in which the initial ...

In this paper, we study the stabilization of solutions of an axially moving string of kirchhoff type by a viscoelastic boundary control. We prove that the dissipation produced by the viscoelastic term is sufficient to suppress the transversal vibrations ...

Let X be a real Banach space and I a nonempty interval. Let K:IźX$K:I\rightsquigarrow X$ be a multi-function with the graph K$\mathcal {K} $. We give here a characterization for K$\mathcal {K} $ to be approximate/near weakly invariant with respect to ...

In the paper, fractional discrete cone control systems with n-orders are considered. Some relations between invariance and (asymptotic) stability properties of the presented systems are discussed. Operators employed to the considered systems are Caputo-,...

In this paper, we consider a viscoelastic flexible structure modeled as an Euler-Bernoulli beam. The beam is moving in the direction of its axis. This is one of the main features of this work. We will be dealing with variable intervals of integration ...

In this paper, we consider the memory-type elasticity system

uttźμΔuź(μ+ź)ź(divu)+ź0tg(tźź)Δu(s)ds=0,$\boldsymbol {u}_{tt}-\upmu {\Delta }{\boldsymbol {u}}-(\upmu +\lambda )\nabla (\text {div}\boldsymbol {u})+{{\int }^{t}_{0}}g(t-\tau ){\Delta }{\...

The problem of identifying an unknown function of the state of an evolution model with differential equations is considered in the framework of a minimization problem. The well-posedness of this minimization problem as well as unique solvability is ...

In this paper, we obtain the following global Lq estimates fpźLq(Ω)źźupźLq(Ω)for anyqź1$$\left|\mathbf{f}\right|^{p } \in L^{q}({\Omega}) \Rightarrow \left|\nabla u\right|^{p } \in L^{q}({\Omega}) \quad \text{for any} ~~q\ge 1 $$ in a convex domain Ω of ...

In this paper, global attractive sets of the generalized Lorenz system are studied according to Lyapunov stability theory and optimization theory. The method of constructing Lyapunov functions applied to the former chaotic dynamical systems is not ...

In this paper, we study the existence of radially stable periodic solutions of radially symmetric Keplerian-like systems. The proof is based on the third-order approximation method combined with the averaging method.

In this paper, we deal with fourth-order elliptic equations of Kirchhoff type with critical exponent in bounded domains, the new results about existence, and multiplicity of solutions are obtained by using the concentration-compactness principle and ...

We design here explicit finite-dimensional boundary stabilizing feedbacks for the parabolic Poiseuille profile of an infinite 3-D channel flow. The controller acts on the normal component of the velocity, and it is easy to manipulate from the ...

This paper deals with regional stabilization of the gradient of semilinear distributed system evolving on a spatial domain Ω. It consists in studying the asymptotic behavior of gradient of such a system in a subregion ź of Ω. Then we characterize ...

For a generic skew product with the fiber a circle over an Anosov diffeomorphism, we prove that the Milnor attractor coincides with the statistical attractor, is Lyapunov stable, and either has zero Lebesgue measure or coincides with the whole phase ...

In this paper, we study the controlled motion of an arbitrary two-dimensional body in an ideal fluid with a moving internal mass and an internal rotor in the presence of constant circulation around the body. We show that by changing the position of the ...