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Modulo Periodic Poisson Stable Solutions of Quasilinear Differential Equations |
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| Authors: | Marat Akhmet Madina Tleubergenova Akylbek Zhamanshin |
| Affiliation: | 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: | modulo periodic Poisson stable functions quasilinear differential equations modulo periodic Poisson stable solutions asymptotic stability |