On Some Integral Inequalities on Time Scales and Their Applications
نویسندگان
چکیده
The theory of time scales was introduced by Hilger 1 in 1988 in order to contain both difference and differential calculus in a consistent way. Recently, many authors have extended some fundamental integral inequalities used in the theory of differential and integral equations on time scales. For example, we refer the reader to the papers 2–12 and the references cited there in. In this paper, we investigate some nonlinear integral inequalities on time scales, which extend some inequalities established by Li and Sheng 8 and Li 9 . The obtained inequalities can be used as important tools in the study of dynamic equations on time scales. Throughout this paper, let us assume that we have already acquired the knowledge of time scales and time scales notation; for an excellent introduction to the calculus on time scales, we refer the reader to Bohner and Peterson 4 for general overview.
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