Abstract
In this paper, we discuss the upper and lower bounds of unknown functions in several nonlinear integral inequalities. Firstly, we give out the upper estimation of unknown function of a nonlinear integral inequality. Secondly, we give out the lower estimation of unknown function of another nonlinear integral inequality. Finally, we discuss the upper and lower bounds of a linear integral inequality by adopting novel analysis techniques, such as change of variable, amplification method, differential and integration.
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