A common goal in the sciences is optimization of an objective function by selecting control
variables such that a desired outcome is achieved. This scenario can be expressed in terms …

In this paper, we prove that the controllability of time varying linear system is preserved if we
add impulses, delay and nonlocal conditions on it. In order to do that, we assume some …

We establish results concerning the existence and multiplicity of positive solutions for the
problem where ε> 0 is a small parameter, 2≤ p< N, p∗= Np/(N− p), a is a positive potential …

In this paper we give a sufficient condition for the exact controllability of the following model
of the suspension bridge equation proposed by Lazer and McKenna in [AC Lazer, PJ …

In this paper, we prove the controllability of time-varying semilinear systems with impulses,
delay, and nonlocal Conditions, where some ideas are taking from previous works for this …

As we have announced in the title of this work, we show that a broad class of evolution
equations are approximately controllable but never exactly controllable. This class is …

In this note, we give an algebraic condition which is necessary for the system x'(t)= A (t) x (t)+
B (t) u (t), y (t)= C (t) x (t), either to be totally controllable or to be totally observable, where …

In this work we study the controllability of a control system governed by a non-autonomous
semilinear neutral equations with impulses and non-local conditions. The idea is to see …

When a real‐life problem is mathematically modeled by differential equations or another
type of equation, there are always intrinsic phenomena that are not taken into account and …

In this paper we give necessary and sufficient conditions for the approximate controllability
of the following system of parabolic equations with delay: where Ω is a bounded domain in …