Asymptotic representations of the solutions with slowly varying derivatives of second order essential nonlinear differential equations

Abstract

The asymptotic representations, necessary and sufficient conditions of the existence of the solutions with slowly varying derivatives are found for differential equations of the second order that are in some sense similar to equations with nonlinearities, that are regularly varying at the singular points.

Authors and Affiliations

M. A. Bilozerova

Keywords

Related Articles

Asymptotic representations of the solutions with slowly varying derivatives of second order essential nonlinear differential equations

The asymptotic representations, necessary and sufficient conditions of the existence of the solutions with slowly varying derivatives are found for differential equations of the second order that are in some sense simila...

The total boundary value problems for hiperbolic equation with piecewise continuous coefficients and right parts

In this paper, the general boundary value problems for hyperbolic equation with piecewise continuous on spatial variable coefficients and right parts was considered. The solutions such problems were found by using a conc...

Step average linear differential inclusions of variable dimension

The theory of differential inclusions began its development in the early thirties of the 20th century with the publication A. Marsh and S. Zaremba. However, the rapid development of this theory began with the 60s of the...

Influence of flexible coating on limit equilibrium of cylindrical shell with cracks along a generatrix

Elastic and limit equilibrium of tensioned shallow cylindrical shell weakened by two through the thickness longitudinal cracks and enhanced by coating on one of the face surfaces is studied in the two-dimensional formula...

The sixth virial coefficient for the modified Lennard-Jones potential

In the wide range of dimensionless temperatures 0.2÷100, the sixth virial coefficient has been calculated for the modified Lennard-Jones potential (mLJ), which has a finite radius of interaction, while has no discontinui...

Download PDF file
  • EP ID EP417155
  • DOI -
  • Views 75
  • Downloads 0

How To Cite

M. A. Bilozerova (2015). Asymptotic representations of the solutions with slowly varying derivatives of second order essential nonlinear differential equations. Дослідження в математиці і механіці, 20(1), 7-19. https://europub.co.uk/articles/-A-417155