On the behavior of Kneser solutions of nonlinear ordinary differential equations
Andrej A. Kon'kov
TL;DR
This paper investigates the behavior of Kneser solutions to nonlinear ordinary differential equations, providing conditions under which these solutions vanish near infinity, enhancing understanding of their asymptotic properties.
Contribution
It offers new priory estimates and sufficient conditions for Kneser solutions to vanish near infinity, advancing theoretical knowledge in differential equations.
Findings
Established priory estimates for solutions.
Derived conditions for solutions to vanish at infinity.
Enhanced understanding of asymptotic behavior.
Abstract
We obtain priory estimates and sufficient conditions for Kneser solutions of ordinary differential equations to vanish in a neighborhood of infinity
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Waves and Solitons · Nonlinear Differential Equations Analysis