Bingham N.H., Goldie C. M., Teugels J.L. Regular variation Encyclopedia of Mathematics and its Applications. - Cambridge University Press. Cambridge, 1987 - 494p.
Evtukhov V.M., Chernikova A.G. The asymptotic behavior of slowly varying solutions of ordinary two-letter differential equations of the second order with rapidly changing nonlinearity // Nonlinear oscillations. - 2016 - 19, N4. - P. 458-475.
Evtukhov V.N., Chernikova A.G. The asymptotic behavior of slowly varying solutions of ordinary two-valued differential equations of second order with rapidly varying nonlinearity // Nonlinear oscillations. - 2017 - 20, N3. - P. 346-360.
https://doi.org/10.1007/s10958-018-4111-7
Evtukhov V.N., Chernikova A.G., Asymptotic behavior of solutions of ordinary differential equations of second order with rapidly changing nonlinearities, Ukr. mate. journ - 2017 - 69, N10. - P. 1345-1363.
https://doi.org/10.1007/s11253-018-1455-6
Evtukhov V.M., Kolun N.P. Asymptotic representations of solutions of differential equations with correct and rapidly changing nonlinearities // Mathematical methods and physical-mechanical fields. - 2017 - 60, N1. - P. 32-43.
Evtukhov V.M., Kolun N.P. Fast-varying solutions of the second-order differential equation with correctly and rapidly changing nonlinearities // Ukrainian Mathematical Journal. - 2018 - 15, N1. - P. 18-42.
https://doi.org/10.1007/s10958-018-4055-y
Evtukhov V.М. Asymptotic representations of solutions of nonautonomous ordinary differential equations. Diss .... d. phys.-mate Sciences. - Kyiv, 1997. - 295 p.
Evtukhov V.M., Samoilenko A.M. Conditions for the existence of disappearing in a singular point of solutions in real nonautonomous systems of quasilinear differential equations // Ukr. mate. journ - 2010 - 62, N1. - P. 52-80.
https://doi.org/10.1007/s11253-010-0333-7
Kasyanova V.A. Asymptotic representations of solutions of nonautonomous ordinary second-order differential equations with nonlinearities that are asymptotically close to the power-law - Disci. Cand. phys.-mate Sciences: special 01.01.02 Differential equations, Odessa, 2009.- 154p.
Mari'c V. Regular Variation and Di ff erential Equations. Lecture Notes in Mathematics 1726. - Springer-Verlag, Berlin Heidelberg, 2000. - 128 p.
Seeneta E. Properly changing functions. - Moscow: Nauka, 1985. - 144 pp.
Chernikova A.G., Asymptotics of rapidly changing solutions of second-order differential equations with rapidly changing nonlinearity, Vestnik Od. nats un-th Mate. i furs - 2015 - 20, N2. - P. 52-68.
- ACS Style
- Kolun, N.P. Asymptotic representations of slowly varying solutions of second-order differential equations with nonlinearities of various types in the right-hand side. Bukovinian Mathematical Journal. 2019, 6 https://doi.org/https://doi.org/10.31861/bmj2018.03.089
- AMA Style
- Kolun NP. Asymptotic representations of slowly varying solutions of second-order differential equations with nonlinearities of various types in the right-hand side. Bukovinian Mathematical Journal. 2019; 6(3-4). https://doi.org/https://doi.org/10.31861/bmj2018.03.089
- Chicago/Turabian Style
- N. P. Kolun. 2019. "Asymptotic representations of slowly varying solutions of second-order differential equations with nonlinearities of various types in the right-hand side". Bukovinian Mathematical Journal. 6 no. 3-4. https://doi.org/https://doi.org/10.31861/bmj2018.03.089