About smooth solutions of the euler differential equation

Published в Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 4, p. 1, 2014 · Pages 89–91 · Rubrics: Section: Differential and Integral Equations
DOI 10.12737/4710
Received: 29.08.2014 Accepted: 09.10.2014 Published: 09.10.2014 Language of publication: RUS
Authors
1 Voronezh State University of Forestry and Technologies named after G.F. Morozov
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.
differential equation singular equation functional space

Рассматривается дифференциальное уравнение Эйлера.

References

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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.

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