Global Existence and Asymptotic Behavior of Solutions of Nonlinear Differential Equations

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概要

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• The paper addresses two open problems related to global existence of solutions with a "linear-like" behavior at infinity. For a class of second-order nonlinear differential equations, we establish global existence of solutions under milder assumption on the rate of decay of the coefficient. Furthermore, as opposed to results reported in the literature, we prove for another class of second-order nonlinear differential equations that the region of the initial data for the solutions with desired asymptotic behavior is unbounded and proper.

• 日本数学会函数方程式論分科会の論文

日本数学会函数方程式論分科会 | 論文

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