Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term

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.…”

Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term

“…The functions f 1 (u, v) and f 2 (u, v), which represent the source terms, will be specified later. After several authors have studied the problems of coupled systems and hyperbolic systems, their stability is associated with velocities and is proven under some given conditions (see, for example, [1][2][3][4][5][6][7][8][9][10][11]). In recent years, several authors have been interested in studying the existence and stability for Lamé systems, we refer to [12][13][14].…”

General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms

“…In the context of boundary dissipations of fractional order problems, the main research focus is on asymptotic stability of solutions starting by writing the equations as an augmented system. Then, various techniques are used such as LaSalle's invariance principle and the multiplier method mixed with frequency domain (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16], and [18]).…”