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LIAPUNOV-TYPE INTEGRAL INEQUALITIES FOR TWO-DIMENSIONAL PARTIAL DYNAMIC SYSTEMS ON TIME SCALES

S. Panigrahi

Abstract


In this paper, Liapunov-type integral inequalities has been obtained for  two-dimensional partial dynamic systems on time scales. As an applications,  we prove that every weakly oscillatory proper solution of the two-dimensional Emden-Fowler-type equation is bounded on $[s_0, \infty)_{\mathbb{T}} \times [t_0, \infty)_{\mathbb{T}},$ where $\mathbb{T}$ is a time scale.

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