Quantum calculus on finite intervals and applications to impulsive difference equations

被引：279

作者：

Tariboon, Jessada ^{[1
]}

Ntouyas, Sotiris K. ^{[2
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Bangkok, Thailand

[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

existence; q(k)-derivative; q(k)-integral; impulsive q(k)-difference equation; uniqueness; EXISTENCE;

D O I：

10.1186/1687-1847-2013-282

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we initiate the study of quantum calculus on finite intervals. We define the q(k)-derivative and q(k)-integral of a function and prove their basic properties. As an application, we prove existence and uniqueness results for initial value problems for first-and second-order impulsive q(k)-difference equations.

引用

页数：19

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