abstract 20

Bulletin of Computational Applied Mathematics (Bull CompAMa)

20

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.

Cite this paper:

Remili M., Rahmane M., Stability and square integrability of solutions of nonlinear fourth order differential equations,

Bull. Comput. Appl. Math. (Bull CompAMa),

Vol. 4, No. 1, Jan-Jun, pp.21-37, 2016.