In dynamical systems theory, the Olech theorem establishes sufficient conditions for global asymptotic stability of a two-equation system of non-linear differential equations. The result was established by Czesław Olech in 1963, [1] based on joint work with Philip Hartman. [2]
The differential equations , , where , for which is an equilibrium point, is uniformly globally asymptotically stable if:
In dynamical systems theory, the Olech theorem establishes sufficient conditions for global asymptotic stability of a two-equation system of non-linear differential equations. The result was established by Czesław Olech in 1963, [1] based on joint work with Philip Hartman. [2]
The differential equations , , where , for which is an equilibrium point, is uniformly globally asymptotically stable if: