ABOUT SMOOTH SOLUTIONS OF THE EULER DIFFERENTIAL EQUATION
Authors:
1.
Voronezh State University of Forestry and Technologies named after G.F. Morozov
Type:
Article
Pages:
from 89
to 91
Status:
Published
Received:
29.08.2014
Accepted:
09.10.2014
Published:
09.10.2014
Language:
Russian
Keywords:
differential equation, singular equation, functional space
Abstract (English):
We considered Euler differential equation. We obtain a simple necessary and sufficient conditions for the existence of solutions of singular differential equations in functional spaces with "weight" under certain smoothness conditions imposed on the right side of the equation.
We considered Euler differential equation. We obtain a simple necessary and sufficient conditions for the existence of solutions of singular differential equations in functional spaces with "weight" under certain smoothness conditions imposed on the right side of the equation.
Keywords:
differential equation, singular equation, functional space
differential equation, singular equation, functional space
Рассматривается дифференциальное уравнение Эйлера.
1. Zyukin, P. N. O gladkikh resheniyakh lineynogo vyrozhdayushchegosya differentsial´nogo uravneniya - go poryadka [Tekst] / P. N. Zyukin. Voronezh. gos. lesotekhn. akad. - Voronezh, 2005. - 15s. - Dep. V VINITI 29.11.05, №1562 - V2005.
2. Zyukin, P. N. O gladkikh resheniyakh lineynogo vyrozhdayushchegosya differentsial´nogo uravneniya [Tekst] / P. N. Zyukin. Matematicheskie modeli i operatornye uravneniya: sb. nauchn. tr. / VorGU. - Voronezh, 2003. - T. 2. - S. 68 - 74.
