Far East Journal of Dynamical Systems

The Far East Journal of Dynamical Systems publishes original research papers and survey articles in all aspects of dynamical systems, including chaos, fractals, and ergodic theory. It encourages application-oriented research in physics, life sciences, and social sciences.

Submit Article

PERIODICITY AND SYMMETRY IN A CLASS OF INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS

Authors

  • Shihchung Chiang

Keywords:

integro-differential equation, weakly singular, periodicity, symmetry.

DOI:

https://doi.org/10.17654/0972111823007

Abstract

We introduce the periodic and symmetric properties of the states in a class of weakly singular integral equations. The motivation of this study is due to the main results reported in a previous paper according to which bounded forces produce bounded states in the infinite field. We observe that within finite time, steady states develop. For each periodicity, two types of initial condition apply: the initial condition can be the same as the original condition, or be the steady state from the previous period. For symmetry, we apply forces of the same magnitude but in opposite directions.

Received: October 16, 2023
Accepted: November 21, 2023

References

S. Chiang, Notes on the solution of a class of singular integral equations, Chung Hua Journal of Science and Engineering 3(4) (2005), 89-95.

J. A. Burns, E. M. Cliff and T. L. Herdman, A state-space model for an aeroelastic system, Proceedings: 22nd IEEE Conference on Decision and Control 1983, pp. 1074-1077.

S. Chiang, Numerical methods for solving a class of hybrid weakly singular integro-differential equations, Applied Mathematics (8) (2017), 956-966.

S. Chiang and T. L. Herdman, On the infinite field of a class of weakly singular integral equations, Far East Journal of Dynamical Systems 34 (2022), 11-23.

F. Kappel and K. P. Zhang, On neutral functional differential equations with nonatomic difference operator, J. of Math. Anal. and Application 113 (1986), 311-343.

Downloads

Published

2023-12-29

Issue

Vol. 36 No. 2 (2023)

Section

Articles

License

Copyright (c) 2023 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

___________________________________

Licensing Terms:

Attribution: Credit Pusha Publishing House as the original publisher, including title and author(s) if applicable.

Non-Commercial Use: For non-commercial purposes only. No commercial activities without explicit permission.

No Derivatives: Modifying or creating derivative works not allowed without written permission.

Contact Pusha Publishing House for more info or permissions.

How to Cite

PERIODICITY AND SYMMETRY IN A CLASS OF INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS. (2023). Far East Journal of Dynamical Systems, 36(2), 153-164. https://doi.org/10.17654/0972111823007

Similar Articles

1-10 of 16

You may also start an advanced similarity search for this article.