Modulo Periodic Poisson Stable Solutions of Quasilinear Differential Equations

Marat Akhmet; Madina Tleubergenova; Akylbek Zhamanshin

doi:10.3390/e23111535

Modulo Periodic Poisson Stable Solutions of Quasilinear Differential Equations

Entropy (Basel). 2021 Nov 18;23(11):1535. doi: 10.3390/e23111535.

Authors

Marat Akhmet¹, Madina Tleubergenova², Akylbek Zhamanshin^{1

2}

Affiliations

¹ Department of Mathematics, Middle East Technical University, Ankara 06800, Turkey.
² Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan.

Abstract

In this paper, modulo periodic Poisson stable functions have been newly introduced. Quasilinear differential equations with modulo periodic Poisson stable coefficients are under investigation. The existence and uniqueness of asymptotically stable modulo periodic Poisson stable solutions have been proved. Numerical simulations, which illustrate the theoretical results are provided.

Keywords: asymptotic stability; modulo periodic Poisson stable functions; modulo periodic Poisson stable solutions; quasilinear differential equations.