Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications
نویسندگان
چکیده
In this work, we investigate some new Gronwall-Bellman type dynamic inequalities on time scales in two independent variables, which provide a handy tool in deriving explicit bounds on unknown functions in certain dynamic equations on time scales. The established results generalize the main results on integral inequalities for continuous functions in [1] and their corresponding discrete analysis in [2]. Key–Words: Dynamic inequality; Gronwall-Bellman inequality; Time scales; Dynamic equation; Bounded
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013