Journal of Analysis & Number Theory
Journal license

Journal

Journal of Analysis & Number Theory


Volume
& Issue

Volume 5, Issue 2


Published
on

July 1, 2017


Pages

127-136


DOI

Article

Existence of Solutions to a Three-point Entrainment of Frequency Problem

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Authors

Mesliza Mohamed* Affiliation:
Fakulti Sains Komputer dan Matematik, Universiti Teknologi MARA Cawangan Pahang, 26400 Bandar Tun Abdul Razak, Jengka, Pahang, Malaysia
and Bevan Thompson Affiliation:
Department of Mathematics, The University of Queensland, Queensland 4072, Australia


Abstract

In this paper, we deal with the existence of solutions to the frequency problem of a perturbed system, $x' - A(t)x = \varepsilon f(x,\sin wt,\cos wt,\varepsilon)$ with three-point boundary condition. The topological technique is used to obtain existence theorem. Two examples are given to illustrate our results.


Keywords

Boundary value problems, first-order, local degree


Citation

Mohamed, M. & Thompson, B. (2017). Existence of solutions to a three-point entrainment of frequency problem. Journal of Analysis & Number Theory, 5(2), 127–136. https://doi.org/10.18576/jant/050207

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