Bounds for some new integral inequalities with delay on time scales
نویسندگان
چکیده
منابع مشابه
Bounds for Certain Delay Integral Inequalities on Time Scales
The unification and extension of differential equations, difference equations, q-difference equations, and so on to the encompassing theory of dynamic equations on time scales was initiated by Hilger 1 in his Ph.D. thesis in 1988. During the last few years, some integral inequalities on time scales related to certain inequalities arising in the theory of dynamic equations had been established b...
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By introducing two adjusting parameters, we investigate some new nonlinear integral inequalities on time scales, which provide explicit bounds on unknown functions, and can be used as tools in the qualitative theory of certain classes of dynamic equations on time scales. Mathematics subject classification (2010): 26D15, 26E70.
متن کاملBounds for Certain New Integral Inequalities on Time Scales
The study of dynamic equations on time scales, which goes back to its founder Hilger 1 , is an area of mathematics that has recently received a lot of attention. For example, we refer the reader to literatures 2–8 and the references cited therein. At the same time, some fundamental integral inequalities used in analysis on time scales have been extended by many authors 9–14 . In this paper, we ...
متن کاملNew Generalized Delay Integral Inequalities On Time Scales
Abstract: In this paper, some new delay integral inequalities with two independent variables on time scales are established, which can be used as a hand tool in the investigation of qualitative properties of solutions of delay dynamic equations on time scales. Some applications for the established inequalities are also presented, and new explicit bounds on unknown functions of delay dynamic equ...
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Some new Gronwall-Bellman-type delay integral inequalities in two independent variables on time scales are established, which provide a handy tool in the research of qualitative and quantitative properties of solutions of delay dynamic equations on time scales. The established inequalities generalize some of the results in the work of Zhang and Meng 2008, Pachpatte 2002, and Ma 2010.
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2012
ISSN: 1846-579X
DOI: 10.7153/jmi-06-35