Parameter-dependent integral on time scales

Chunmei Zhang () and Ke Wang ()
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Chunmei Zhang: Harbin Institute of Technology
Ke Wang: Harbin Institute of Technology

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 2, 139-164

Abstract: Abstract In this paper, we focus on the parameter-dependent integral on time scales. By combining multiple integration theory on time scales and usual parameter-dependent integration theory in classical mathematical analysis, both normal parameter-dependent integral on time scales and improper parameter-dependent integral on time scales are investigated efficiently. Many criteria for uniform convergence and important analytical properties are developed, respectively. Finally, a lot of examples are also presented to substantiate the theoretical results.

Keywords: Time scales; parameter-dependent integral; uniform convergence; analytical property (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0056-9

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