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.


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
Full Text: DOI