Open Journal of Mathematical Analysis
Vol. 7 (2023), Issue 2, pp. 1 – 7
ISSN: 2616-8111 (Online) 2616-8103 (Print)
DOI: 10.30538/psrp-oma2023.0126
Floquet Exponent of Solution to Homogeneous Growth-Fragmentation Equation
MEAS Len\(^{1,*}\)
\(^{1}\) Department of Mathematics, Royal University of Phnom Penh, Phnom Penh, Cambodia.
Copyright © 2023 MEAS Len. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: September 22, 2023 – Accepted: December 2, 2023 – Published: December 29, 2023
Abstract
In this work, we establish the existence and uniqueness of solution of Floquet eigenvalue and its adjoint to homogeneous growth-fragmentation equation with positive and periodic coefficients. We study the Floquet exponent, which measures the growth rate of a population. Finally, we establish the long term behavior of solution to the homogeneous growth-fragmentation equation by entropy method [1,2,3].
Keywords:
Homogeneous Growth-Fragmentation Equation; Floquet theory; Entropy method