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- W2911998260 abstract "The paper is concerned with a linear neutral differential equation begin{document}$ dot y(t) = -c(t)y(t-tau(t))+d(t)dot y(t-delta(t)) $end{document} where begin{document}$ ccolon [t_0,infty)to (0,infty) $end{document} , begin{document}$ dcolon [t_0,infty)to [0,infty) $end{document} , begin{document}$ t_0in {Bbb{R}} $end{document} and begin{document}$ tau, delta colon [t_0,infty)to (0,r] $end{document} , begin{document}$ rin{mathbb{R}} $end{document} , begin{document}$ r>0 $end{document} are continuous functions. A new criterion is given for the existence of positive strictly decreasing solutions. The proof is based on the Rybakowski variant of a topological Wazewski principle suitable for differential equations of the delayed type. Unlike in the previous investigations known, this time the progress is achieved by using a special system of initial functions satisfying a so-called sewing condition. The result obtained is extended to more general equations. Comparisons with known results are given as well." @default.
- W2911998260 created "2019-02-21" @default.
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- W2911998260 date "2020-01-01" @default.
- W2911998260 modified "2023-10-17" @default.
- W2911998260 title "Existence of strictly decreasing positive solutions of linear differential equations of neutral type" @default.
- W2911998260 doi "https://doi.org/10.3934/dcdss.2020004" @default.
- W2911998260 hasPublicationYear "2020" @default.
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