Periodic Boundary Value Problems for the Second Order Impulsive Differential Equations

Authors

  • Chatthai Thaiprayoon Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800
  • Jessada Tariboon Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand; Centre of Excellence in Mathematics, CHE, Sri Ayutthaya Rd., Bangkok 10400
  • Preya Khumsup Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800

DOI:

https://doi.org/10.26713/cma.v1i3.123

Keywords:

Lower and upper solution, Monotone iterative technique, Impulsive differential equation

Abstract

This paper is concerned with solutions of periodic boundary value problems for the second order impulsive differential equation. We prove the existence of extreme solutions and present the method of lower and upper solutions coupled with monotone iterative technique. Some comparison results are also established.
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Issue

Vol. 1 No. 3 (2010)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Thaiprayoon, C., Tariboon, J., & Khumsup, P. (2010). Periodic Boundary Value Problems for the Second Order Impulsive Differential Equations. Communications in Mathematics and Applications, 1(3), 153-164. https://doi.org/10.26713/cma.v1i3.123