Asymptotic Representations of Regularly Varying Pω(Y0, Y1, λ0)-Solutions of a Differential Equation of the Second Order Containing the Product of Different Types of Nonlinearities of the Unknown Function and its Derivative-Reference-Cited by-同舟云学术

Asymptotic Representations of Regularly Varying Pω(Y0, Y1, λ0)-Solutions of a Differential Equation of the Second Order Containing the Product of Different Types of Nonlinearities of the Unknown Function and its Derivative

Published:2023-07 Issue:1 Volume:274 Page:142-155
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Chepok O. O.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s10958-023-06576-x.pdf

Reference6 articles.

1. N. H. Bingham, C. M. Goldie, and J. L. Teugels, Regular Variation. Encyclopedia of Mathematics and Its Applications, Cambridge Univ. Press, Cambridge (1987).

2. V. M. Evtukhov, Asymptotic Representations of Solutions of Nonautonomous Ordinary Differential Equations [in Russian] Doctoral-Degree Thesis (Physics and Mathematics), Kiev (1998).

3. V. Maric, Regular Variation and Differential Equations, Springer (2000).

4. V. M. Evtukhov and A. M. Samoilenko, "Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point," Ukr. Mat. Zh., 62, No. 1, 52-80 (2010)

5. English translation: Ukr. Math. J., 62, No. 1, 56-86 (2010).

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1. ASYMPTOTIC BEHAVIOR OF Pω(Y0, Y1,±∞)-SOLUTIONS OF THE SECOND ORDER DIFFERENTIAL EQUATIONS WITH THE PRODUCT OF DIFFERENT TYPES OF NONLINEARITIES FROM AN UNKNOWN FUNCTION AND ITS FIRST DERIVATIVE;Bukovinian Mathematical Journal;2023