An Asymptotical Stability in Variational Sense for Second Order Systems

作者：Idczak Dariusz^*; Walczak Stanislaw

来源：Advanced Nonlinear Studies, 2010, 10(1): 161-174.

• Asymptotical stability
• Variational method
• Second order systems

In this paper, a new, variational concept of asymptotical stability of zero solution to all ordinary differential system of the second order, considered in Sobolev Space, is presented. Sufficient conditions for an asymptotical stability in a variational sense with respect to initial condition and functional parameter (control) are given. Relation to the classical asymptotical stability is illustrated.

• 出版日期2010-2