On Solutions of the Third-Order Ordinary Differential Equations of Emden-Fowler Type

被引：1

作者：

Sadyrbaev, Felix ^{[1
]}

机构：

[1] Daugavpils Univ, Inst Life Sci & Technol, Parades St 1, LV-5401 Daugavpils, Latvia

来源：

DYNAMICS | 2023年 / 3卷 / 03期

关键词：

ordinary differential equations; third order equations; conjugate points; extremal solutions; linear equations; Emden-Fowler type equations; oscillation; sensitive dependence on initial conditions; asymptotic behavior;

D O I：

10.3390/dynamics3030028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For a linear ordinary differential equation (ODE in short) of the third order, results are presented that supplement the theory of conjugate points and extremal solutions by W. Leighton, Z. Nehari, M. Hanan. It is especially noted the sensitivity of solutions to the initial data, which makes their numerical study difficult. Similar results were obtained for the third-order nonlinear equations of the Emden-Fowler type.

引用

页码：550 / 562

页数：13

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