Existence of Solutions For Higher Order Impulsive Integro-Differential Equations With Antiperiodic Boundary Value Problems On Time Scales

Authors

  • Arunkumar D
  • Kannan K
  • Anitha K
  • Sujatha B
  • Gnanavel M G

Keywords:

Impulsive, Integro-differential equations, Antiperiodic boundary conditions, Timescale calculus

Abstract

In this paper, we investigate the higher order impulsive integro-differential equations with anti periodic boundary value problems on time scales. The Contraction mapping principle and Leray Schauder's fixed point theorem are used to determine sufficient conditions. Finally, we present an example to demonstrate the main results.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

References

Ahmad, B. Ntouyas, S, K. and Alsulami, H, H. 2013. Existence results for nth order multi point integral boundary value problems of differential inclusions. Electronic Journal of Differential equations, 203: 13 pages.

Arunkumar, D. Sivabalan, M. Sathiyanathan, K. 2019. Existence of Impulsive Integro differential equations with integral boundary conditions. American international Journal of Research in science, Technology, Engineering and Mathematics: 5-13.

Eloe, PW. and Ahmad, B. 2005. Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions. Applied Mathematical Letters, 18: 521-527.

Karaca, IY. and Fen, FT. 2015. Positive solutions of nth order boundary value problems with integral boundary conditions. Mathematical modelleing and analysis, 20: 188-204.

Krishnaveni, V. Sathiyanathan, K. Arunkumar, D. 2016. Impulsive Integro differential equation with antiperiodic boundary conditions on time scales. International Journal of Control theory and Applications, 9: 1136-1150.

Lakshmikantham, V. Bainov, D. Simeonov, P. 1989. Theory of Impulsive Differential Equations, World Scientific, Singapore.

Li, Y. Zhang, H. 2014. Positive solutions for a nonlinear higher order differential system with coupled integral boundary conditions. Journal of applied Mathematics: 7 pp.

Li, Y. Li, F. 2008. Sign-changing solutions to second-order integral boundary value problems. Nonlinear Analysis, 69: 1179-1187.

Liu, X. Guo, D. 1997. Periodic boundary value problems for a class of second order impulsive integro- differential equations in Banach space. Journal of Mathematical Analysis and Applications, 216: 284-302.

Thaiprayoon, C. Samana, D. Tariboon, J. 2012. Periodic boundary value problems for second order impulsive integro differential equations with integral jump conditions. Boundary value problems, 122.

Tian, Y. Ji, D. Ge, W. 2009. Existence and nonexistence results of impulsive first order problem with integral boundary condition. Nonlinear Analysis, 71: 1250-1262.

Wang, W. Lingling, Z. Zhandong, L. 2006. Initial value problems for nonlinear impulsive integro-differential equations in Banach space. Journal of Mathematical Analysis and Applications, 3720: 510-527.

Webb, JRL. 2009. Positive solutions of some higher order nonlocal boundary value problems. Electronic Journal of Qualitative Theory of Differential Equations, 29: 15pp.

Zhang, X. Yang, X. Ge, W. 2009. Positive solutions of nth-order impulsive boundary value problems with integral boundary conditions in Banach spaces. Nonlinear analysis,71: 5930-5945.

Downloads

Published

2025-05-23

How to Cite

1.
D A, K K, K A, B S, M G G. Existence of Solutions For Higher Order Impulsive Integro-Differential Equations With Antiperiodic Boundary Value Problems On Time Scales. J Neonatal Surg [Internet]. 2025May23 [cited 2025Nov.18];14(27S):179-88. Available from: https://www.jneonatalsurg.com/index.php/jns/article/view/6409