Derivation of dynamical integral inequalities based on two-dimensional time scales theory

[摘要] The main goal of this paper is to set up some new estimates of a specific class of dynamic integral inequalities (DII) which are partially linear on a time scale $\mathbb{T}$ with two independent variables. These, from the one hand, sum up and, on the other hand, offer a helpful method for both the qualitative and quantitative study of dynamic equations on time scales. Some applications are taken into consideration to show the validity of the fundamental results.

[学科分类] 电力

[关键词] Integral inequalities;Time scales;Nondecreasing;Dynamic equations