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Chepok, O. O.

Asymptotic representations of regularly varying \(P_\omega (Y_0, Y_1, \lambda_0)\)-solutions of a differential equation of the second order containing the product of different types of nonlinearities of the unknown function and its derivative. (English. Ukrainian original) Zbl 07732833

J. Math. Sci., New York 274, No. 1, 142-155 (2023); translation from Neliniĭni Kolyvannya 25, No. 1, 133-144 (2022).
MSC:  34D05 37C60 26A12
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\textit{O. O. Chepok}, J. Math. Sci., New York 274, No. 1, 142--155 (2023; Zbl 07732833); translation from Neliniĭni Kolyvannya 25, No. 1, 133--144 (2022)
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Bilozerova, M. O.; Herzhanovs’ka, H. A.

Asymptotic behavior of the solutions of essentially nonlinear nonautonomous second-order differential equations close to linear functions. (English. Ukrainian original) Zbl 07732823

J. Math. Sci., New York 274, No. 1, 1-12 (2023); translation from Neliniĭni Kolyvannya 25, No. 1, 3-13 (2022).
MSC:  34D05 37C60 26A12
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\textit{M. O. Bilozerova} and \textit{H. A. Herzhanovs'ka}, J. Math. Sci., New York 274, No. 1, 1--12 (2023; Zbl 07732823); translation from Neliniĭni Kolyvannya 25, No. 1, 3--13 (2022)
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Rusakov, O. V.; Ragozin, R. A.

Extremes of PSI-processes and Gaussian limits of their normalized independent identically distributed sums. (English. Russian original) Zbl 1507.60062

Vestn. St. Petersbg. Univ., Math. 55, No. 2, 186-191 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 270-278 (2022).
MSC:  60G50 60G55 26A12 60G05
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\textit{O. V. Rusakov} and \textit{R. A. Ragozin}, Vestn. St. Petersbg. Univ., Math. 55, No. 2, 186--191 (2022; Zbl 1507.60062); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 270--278 (2022)
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Evtukhov, V. M.; Chernikova, A. G.

On the asymptotics of solutions of the second-order differential equations with rapidly varying nonlinearities. (English. Ukrainian original) Zbl 1490.34054

Ukr. Math. J. 73, No. 4, 572-591 (2021); translation from Ukr. Mat. Zh. 73, No. 4, 488-505 (2021).
Reviewer: Olga Chepok (Odessa)
MSC:  34D05 37C60 26A12
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\textit{V. M. Evtukhov} and \textit{A. G. Chernikova}, Ukr. Math. J. 73, No. 4, 572--591 (2021; Zbl 1490.34054); translation from Ukr. Mat. Zh. 73, No. 4, 488--505 (2021)
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Evtukhov, V. M.; Droggina, A. V.

Asymptotic representations for the solutions of nonautonomous ordinary differential equations. (English. Ukrainian original) Zbl 1518.34064

Ukr. Math. J. 71, No. 12, 1865-1887 (2020); translation from Ukr. Mat. Zh. 71, No. 12, 1626-1646 (2019).
MSC:  34D05 26A12 37C60
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\textit{V. M. Evtukhov} and \textit{A. V. Droggina}, Ukr. Math. J. 71, No. 12, 1865--1887 (2020; Zbl 1518.34064); translation from Ukr. Mat. Zh. 71, No. 12, 1626--1646 (2019)
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Evtukhov, V. M.; Kolun, N. P.

Asymptotics of the solutions of second-order differential equations with regularly and rapidly varying nonlinearities. (English. Ukrainian original) Zbl 1445.34083

J. Math. Sci., New York 243, No. 3, 381-408 (2019); translation from Neliniĭni Kolyvannya 21, No. 3, 323-346 (2018).
Reviewer: Olga Chepok (Odessa)
MSC:  34D05 26A12
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\textit{V. M. Evtukhov} and \textit{N. P. Kolun}, J. Math. Sci., New York 243, No. 3, 381--408 (2019; Zbl 1445.34083); translation from Neliniĭni Kolyvannya 21, No. 3, 323--346 (2018)
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Evtukhov, V. M.; Doroshenko, A. G.

Asymptotic behavior of solutions of ordinary differential equations of the \(n\) th order with regularly varying nonlinearities. (English. Ukrainian original) Zbl 1445.34082

J. Math. Sci., New York 243, No. 2, 204-229 (2019); translation from Neliniĭni Kolyvannya 21, No. 2, 166-188 (2018).
Reviewer: Olga Chepok (Odessa)
MSC:  34D05 26A12
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\textit{V. M. Evtukhov} and \textit{A. G. Doroshenko}, J. Math. Sci., New York 243, No. 2, 204--229 (2019; Zbl 1445.34082); translation from Neliniĭni Kolyvannya 21, No. 2, 166--188 (2018)
Full Text: DOI
Evtukhov, V. M.; Chernikova, A. G.

On the asymptotics of solutions of second-order differential equations with rapidly varying nonlinearities. (English. Russian original) Zbl 1445.34081

Ukr. Math. J. 71, No. 1, 81-101 (2019); translation from Ukr. Mat. Zh. 71, No. 1, 73-91 (2019).
Reviewer: Olga Chepok (Odessa)
MSC:  34D05 26A12
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\textit{V. M. Evtukhov} and \textit{A. G. Chernikova}, Ukr. Math. J. 71, No. 1, 81--101 (2019; Zbl 1445.34081); translation from Ukr. Mat. Zh. 71, No. 1, 73--91 (2019)
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Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard

Indices of O-regular variation for weight functions and weight sequences. (English) Zbl 1436.46029

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3659-3697 (2019).
Reviewer: José Bonet (Valencia)
MSC:  46E10 26A12 26A48 44A15 46E30
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\textit{J. Jiménez-Garrido} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3659--3697 (2019; Zbl 1436.46029)
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Chepok, O. O.

Asymptotic representations for the solutions of second-order differential equations with rapidly and regularly varying nonlinearities. (English. Ukrainian original) Zbl 1428.34071

J. Math. Sci., New York 238, No. 3, 316-332 (2019); translation from Neliniĭni Kolyvannya 20, No. 4, 549-563 (2017).
Reviewer: Oleg Anashkin (Simferopol)
MSC:  34D05 26A12
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\textit{O. O. Chepok}, J. Math. Sci., New York 238, No. 3, 316--332 (2019; Zbl 1428.34071); translation from Neliniĭni Kolyvannya 20, No. 4, 549--563 (2017)
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Evtukhov, V. M.; Kolun, N. P.

Asymptotic representations of the solutions of differential equations with regularly and rapidly varying nonlinearities. (English. Ukrainian original) Zbl 1422.34153

J. Math. Sci., New York 240, No. 1, 34-47 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 1, 32-42 (2017).
Reviewer: Olga Chepok (Odessa)
MSC:  34D05 26A12
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\textit{V. M. Evtukhov} and \textit{N. P. Kolun}, J. Math. Sci., New York 240, No. 1, 34--47 (2019; Zbl 1422.34153); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 1, 32--42 (2017)
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Evtukhov, V. M.; Korepanova, E. S.

Asymptotic representation of the solutions of differential equations with regularly varying nonlinearities. (English. Russian original) Zbl 1417.34108

Ukr. Math. J. 69, No. 9, 1393-1415 (2018); translation from Ukr. Mat. Zh. 69, No. 9, 1198-1216 (2017).
MSC:  34D05 26A12
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\textit{V. M. Evtukhov} and \textit{E. S. Korepanova}, Ukr. Math. J. 69, No. 9, 1393--1415 (2018; Zbl 1417.34108); translation from Ukr. Mat. Zh. 69, No. 9, 1198--1216 (2017)
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