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Some nonlinear dynamic inequalities on time scales. (English) Zbl 1222.26032
Summary: Our aim is to establish some explicit bounds of solutions of a certain class of nonlinear dynamic inequalities on a time scale $$\mathbb T$$ which is unbounded above. Also, we establish some sufficient conditions for global existence and an estimate of the rate of decay of the solutions. These on the one hand generalize and on the other hand furnish a handy tool for the study of qualitative as well as quantitative properties of solutions of dynamic equations on time scales.

##### MSC:
 26D15 Inequalities for sums, series and integrals 26E70 Real analysis on time scales or measure chains 26D20 Other analytical inequalities 39A12 Discrete version of topics in analysis
##### Keywords:
dynamic equations; time scale; integral inequality
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