Differential "puzzles" on Solutions of Nonlinear Equations
Author(s):
Valentin Fedorovich Zaitsev
DSc in phisics and mathematics
Professor
Dept. of mathematical analysis
Herzen State Pedagogical University of Russia
emb. r. Moyka, 48
191186, Saint-Petersburg, Russia
Professor
Dept. of Medical and Biological Systems Control
Saint Petersburg State University
Universitetskii prospekt 35,
198504, Saint-Petersburg, Petergof, Russia
valentin_zaitsev@mail.ru
Mikhail Dmitrievich Iofe
Master
Dept. of mathematical analysis
Herzen State Pedagogical University of Russia
emb. r. Moyka, 48
191186, Saint-Petersburg, Russia
iofe@list.ru
Abstract:
We consider the finite systems of functions. These functions are closed
upon solutions of the subclasses of generalized
homogeneous model differential equations. The new solutions of nonlinear
equations, representable in the
class of polynomials.
Keywords
- finite system of polynomials
- general solution
- generalized Emden-Fowler equation
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