Positive solutions to nonlinear first-order impulsive dynamic equations on time scales

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• 作者：Wen Guan (1)
  
  1. Department of Applied Mathematics ; Lanzhou University of Technology ; Lanzhou ; Gansu ; 730050 ; People鈥檚 Republic of China
  
• 关键词：39A10 ; 34B15 ; time scale ; periodic boundary value problem ; fixed point ; impulsive dynamic equation
• 刊名：Advances in Difference Equations
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,199 KB
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• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

By using the classical fixed point theorem for operators on a cone, in this paper, some results of single and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. It is worth noticing that the nonlinearity f and the pulse function in this paper are not positive.