ON THE EXISTENCE OF SOLUTIONS WITH PRESCRIBED NUMBER OF ZEROS TO REGULAR NONLINEAR EMDEN - FOWLER TYPE THIRD-ORDER EQUATION WITH VARIABLE COEFFICIENT
- Authors: Rogachev V.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 21, No 6 (2015)
- Pages: 117-123
- Section: Статьи
- URL: https://journals.ssau.ru/est/article/view/4477
- DOI: https://doi.org/10.18287/2541-7525-2015-21-6-117-123
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Abstract
A third order Emden - Fowler type equation is considered. Existence of solution with given number of zeros on given interval is proved. This theorem extends previous results, related to Emden - Fowler type equation with constant coefficient, in case of variable coefficient.
About the authors
V.V. Rogachev
Lomonosov Moscow State University
Author for correspondence.
Email: morenov.sv@ssau.ru
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