Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations

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作者
V. Yu. Slyusarchuk
机构
[1] National University of Water Industry and Nature Management,
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Nonlinear Differential Equation; Functional Operator; Inverse Operator; Bounded Solution; Nonlinear Functional Analysis;
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摘要
We establish conditions required for the existence and uniqueness of bounded solutions of the nonlinear differential equation \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {f_1}\left( {\frac{{dx(t)}}{{dt}}} \right) = {f_2}\left( {x(t)} \right) $$\end{document}, t ∈ ℝ.
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页码:320 / 335
页数:15
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