Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term

Abstract

In this work, we consider a linear thermoelastic laminated timoshenko beam with distributed delay, where the heat conduction is given by cattaneoâs law. we establish the well posedness of the system. For stability results, we prove exponential and polynomial stabilities of the system for the cases of equal and nonequal speeds of wave propagation.

General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms

“…The distributed delay is very important in these problems, and it has been studied in many issues, for example, previous works 6,15‐19 . From this absolute, adding the distributed delay limit makes the problem different from previous studies.…”

Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term

“…In recent years, the control of PDEs with time delay effects has become an active area of research (see, for example, [15,[20][21][22][23][24][25][26][27]). In many cases, it was shown that delay is a source of instability unless additional condition or control terms are used; the stability issue of systems with delay is of theoretical and practical great importance.…”

On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay

“…Also, the time or delay recorded in many natural and physical phenomena, especially problems resulting from vibrations, is an important factor for stability in general. And it has been studied extensively by many authors, including [5][6][7][11][12][13][14][15][16][17][18][19][20][21]. Recently, in the presence of the varying delay, Mezouar and Boularrass studied system (1); for more information, see [22].…”