Anastasia Parusnikova

Publications¹⁶

• Article Anoshin V. I., Beketova A., Parusnikova A., Prokopenko E. Convergence of Formal Solutions to the Second Member of the Fourth Painlevé Hierarchy in a Neighborhood of Zero / Пер. с рус. // Computational Mathematics and Mathematical Physics. 2023. Vol. 63. No. 1. P. 86-95. doi
• Article Anoshin V. I., Beketova A., Parusnikova A., Romanov K. Asymptotic Expansions of Solutions to the Second Term of the Fourth Painlevé Hierarchy / Пер. с рус. // Programming and Computer Software. 2022. Vol. 48. No. 1. P. 30-35. doi
• Chapter Anoshin V.I., Beketova A.D., Parusnikova A. Asymptotic Expansions of Solutions to the Hierarchy of the Fourth Painlevé Equation, in: Computer Algebra. 4th International Conference Materials. M. : Max press, 2021. doi P. 27-29. doi
• Article Parusnikova A., Vasilyev A. On Various Approaches to Asymptotics of Solutions to the Third Painlevé Equation in a Neighborhood of Infinity / Пер. с рус. // Journal of Mathematical Sciences. 2019. Vol. 241. No. 3. P. 318-326. doi
• Article Parusnikova A., Vasilyev A. V. On the exact Gevrey order of formal Puiseux series solutions to the third Painlevé equation // Journal of Dynamical and Control Systems. 2019. Vol. 25. No. 4. P. 681-690. doi
• Preprint Parusnikova A., Vasilyev A. V. On Divergence of Puiseux Series Asymptotic Expansions of Solutions to the Third Painlevé Equation / Cornell University. Series arXiv "math". 2017. No. 1702.05758.
• Preprint Parusnikova A. 4-Dimensional Power Geometry and its Application to P1 - P5 / Cornell University. Series "Working papers by Cornell University". 2014. No. 1412.6690.
• Article Anastasia V. Parusnikova. On Gevrey orders of formal power series solutions to the third and fifth Painlevé equations near infinity // Opuscula Mathematica. 2014. Vol. 34. No. 3. P. 591-599. doi
• Preprint Parusnikova A. On Gevrey orders of power expansions of solutions to the third and fifth Painleve equations / Cornell University Library. 2013. No. 1310.5345.
• Chapter Parusnikova A. Asymptotic expansions of solutions to the fifth Painlevé equation in neighbourhoods of singular and nonsingular points of the equation, in: Banach Center Publications Vol. 97: Formal and Analytic Solutions of Differential and Difference Equations,. Warsz. : Polish Academy of Sciences, 2012. P. 113-124.
• Chapter Parusnikova A. Chapter 5. Asymptotic expansions of solutions to the fifth Painlevé equation, in: Painlevé Equations and Related Topics. Berlin : De Gruyter, 2012. Ch. 5. P. 33-38.
• Chapter Bruno A. D., Parusnikova A. Chapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5, in: Painlevé Equations and Related Topics. Berlin : De Gruyter, 2012. P. 53-65.
• Article Bruno A. D., Parusnikova A.V. Expansions of solutions to the fifth Painlevé equation near its nonsingular point / Пер. с рус. // Доклады Академии наук. 2012. Vol. 85. No. 1. P. 87-92.
• Article Брюно А. Д., Парусникова А. В. Разложения решений пятого уравнения Пенлеве в окрестности его неособой точки // Доклады Академии наук. 2012. Т. 442. № 5. С. 583-588.
• Chapter Parusnikova A. Asymptotic expansions of solutions to the fifth Painleve equation, in: International Conference “Painlevґe Equations and Related Topics”. St. Petersburg : The Euler International Mathematical Institute, 2011. P. 126-131.
• Article Брюно А. Д., Парусникова А. В. Локальные разложения решений пятого уравнения Пенлеве // Доклады Академии наук. 2011. Т. 438. № 4. С. 439-443.