Differential equations on networks is a relatively new branch (it has existed about 20 years)
in the theory of differential equations. This issue is the result of work in this direction …

In this paper, we study the energy decay rate for the thermoelastic Bresse system which
describes the motion of a linear planar, shearable thermoelastic beam. If the longitudinal …

In this paper, we study a nonlinear Caputo fractional boundary value problem on a star
graph. By means of transformation, an equivalent system of fractional boundary value …

In this paper, we study optimal control problems for nonlinear fractional order boundary
value problems on a star graph, where the fractional derivative is described in the Caputo …

In this paper, we consider a one‐dimensional linear Bresse system with infinite memories
acting in the three equations of the system. We establish well‐posedness and asymptotic …

In this paper, we study the energy decay rate for the elastic Bresse system in one-
dimensional bounded domain. The physical system consists of three wave equations. The …

We provide a comprehensive stability analysis of the thermoelastic Bresse system (also
known as the circular arch problem). In particular, assuming a temperature evolution of …

We investigate the stability of three thermoelastic beam systems with hyperbolic heat
conduction. First, we study the Bresse-Gurtin-Pipkin system, providing a necessary and …

We study the differential operator A= d^ 4 dx^ 4 A= d 4 dx 4 acting on a connected network
GG along with\mathcal L^ 2 L 2, the square of the discrete Laplacian acting on a connected …

The present study is concerned with the questions of controllability and stabilizability of
planar networks of vibrating beams consisting of several Timoshenko beams connected to …