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On Solutions of the Third-Order Ordinary Differential Equations of Emden-Fowler Type
Version 1
: Received: 26 July 2023 / Approved: 26 July 2023 / Online: 27 July 2023 (10:25:20 CEST)
A peer-reviewed article of this Preprint also exists.
Sadyrbaev, F. On Solutions of the Third-Order Ordinary Differential Equations of Emden-Fowler Type. Dynamics 2023, 3, 550-562. Sadyrbaev, F. On Solutions of the Third-Order Ordinary Differential Equations of Emden-Fowler Type. Dynamics 2023, 3, 550-562.
Abstract
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.
Keywords
ordinary differential equations; third order equations; conjugate points; extremal solutions; linear equations; Emden-Fowler type equations; oscillation; sensitive dependence on initial conditions; asymptotic behavior
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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