On the solutions of non-planar oscillations for a nonlinear coupled Kirchhoff beam equations with moving boundary
OMA-Vol. 5 (2021), Issue 1, pp. 9 – 21 Open Access Full-Text PDF
J. Ferreira, E. Pişkin, S. M. S. Cordeiro, C. A. Raposo
Abstract: In this paper, we are concerned with the existence and uniqueness of global strong solution of non-planar oscillations for a nonlinear coupled Kirchhoff beam equations with moving boundary.
General decay of the double dispersive wave equation with memory and source terms
OMA-Vol. 5 (2021), Issue 1, pp. 1 – 8 Open Access Full-Text PDF
Mohamed Mellah
Abstract: The double dispersive wave equation with memory and source terms \(u_{tt}-\Delta u-\Delta u_{tt}+\Delta^{2}u-\int_{0}^{t}g(t-\tau)\Delta^{2}u(\tau)d\tau-\Delta u_{t}=|u|^{p-2}u\) is considered in bounded domain. The existence of global solutions and decay rates of the energy are proved.