Uncountably many solutions of first-order neutral nonlinear differential equations

DOI10.1186/1687-1847-2013-140zbMath1390.34224OpenAlexW2131548639WikidataQ59300524 ScholiaQ59300524MaRDI QIDQ1648702

Rudolf Olach, Martina Kubjatková, Božena Dorociaková

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-140

zbMATH Keywords

existenceneutral differential equationnonlinearBanach spaceuncountably many positive solutions

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Neutral functional-differential equations (34K40)

Cites Work

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• Retract principle for neutral functional differential equations
• Existence of nonoscillatory solutions of first-order neutral differential equations
• Existence of nonoscillatory solutions for a third-order nonlinear neutral delay differential equation
• Fredholm's boundary-value problems for differential systems with a single delay
• Existence for nonoscillatory solutions of second-order nonlinear differential equations
• Asymptotic properties of solutions to \(n\)-dimensional neutral differential systems
• Existence of positive solutions of a singular initial problem for a nonlinear system of differential equations
• Asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients.
• Asymptotical convergence of the solutions of a linear differential equation with delays
• Oscillation of second-order nonlinear neutral differential equations
• Existence of nonoscillatory solutions of higher-order neutral differential equations with positive and negative coefficients

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