Bulletin of Computational Applied Mathematics (Bull CompAMa)
Stability and square integrability of solutions of nonlinear fourth order differential equations
Moussadek Remili, Mebrouk Rahmane
The aim of the present paper is to establish a new result, which guarantees the asymptotic stability of zero solution and square integrability of solutions and their derivatives to nonlinear differential equations of fourth order.
Keywords: Lyapunov functional; differential equations of fourth order; uniform asymptotic stability; square integrability.