Nonlinear Integral Inequalities in Two Independent Variables on Time Scales
نویسندگان
چکیده
منابع مشابه
Generalized Delay Integral Inequalities In Two Independent Variables On Time Scales
Abstract: In this paper, we discuss some new Gronwall-Bellman type delay integral inequalities in two independent variables on time scales, which contain arbitrary nonlinear items on unknown functions outside the integrals as well as inside the integrals. The inequalities established have different forms compared with the existing GronwallBellman type inequalities so far in the literature. As a...
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We extend from the discrete case some nonlinear inequalities in two independent variables to a more general dynamic setting involving pairs of time scales. These inequalities provide explicit bounds on unknown functions, which can be useful in the study of qualitative properties of solutions of certain classes of dynamic equations on time scales. Several examples are provided. AMS subject class...
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Using a technique of monotonization, this paper investigates a generalized GronwallBellman type delay integral inequality with two independent variables on time scales. The result not only unifies some continuous inequalities and their discrete analogues but also extends some known integral inequalities on time scales. An application to the estimation of solutions of delay dynamic integral equa...
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تاریخ انتشار 2011