Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations
نویسندگان
چکیده
* Correspondence: [email protected] School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165, China Full list of author information is available at the end of the article Abstract In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales. The established results generalize some of the results in Lipovan [J. Math. Anal. Appl. 322, 349-358 (2006)], Pachpatte [J. Math. Anal. Appl. 251, 736-751 (2000)], Li [Comput. Math. Appl. 59, 1929-1936 (2010)], and Sun [J. Math. Anal. Appl. 301, 265-275 (2005)]. MSC 2010: 26E70; 26D15; 26D10.
منابع مشابه
Some New Delay Integral Inequalities On Time Scales Arising In The Theory Of Dynamic Equations
In this paper, some new types of delay integral inequalities on time scales are established, which can be used as a handy tool in the investigation of making estimates for bounds of solutions of delay dynamic equations on time scales. Our results generalize the main results in [15, 16, 17], and some of the results in [18, 19]. Key–Words: Delay integral inequality; Time scale; Integral equation;...
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