Theory of hybrid differential equations on time scales
نویسندگان
چکیده مقاله:
In this paper, we develop the theory of hybrid differential equations on time scales. An existence theorem for hybrid differential equations on time scales is given under Lipschitz conditions. Some fundamental fractional differential inequalities are also established which are utilized to prove the existence of extremal solutions. Necessary tools are considered and the comparison principle is proved which will be useful for further study of qualitative behavior of solutions. Our results in this paper extend and improve some known results.
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1School of Informatics, Linyi University, Linyi, Shandong 276005, China 2Department of Mathematics and Statistics, Missouri S&T, Rolla, MO 65409-0020, USA 3Department of Mathematics, Faculty of Arts and Sciences, Niğde University, 51200 Niğde, Turkey 4Department of Mathematical Sciences, University of Agder, Postboks 422, 4604 Kristiansand, Norway 5School of Mathematics, Sun Yat-sen University,...
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عنوان ژورنال
دوره 43 شماره 3
صفحات 707- 725
تاریخ انتشار 2017-06-01
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