Existence of nonoscillatory solutions of first-order neutral differential equations

DOI10.1155/2011/346745zbMath1222.34078OpenAlexW2152281381WikidataQ58654146 ScholiaQ58654146MaRDI QIDQ554888

Rudolf Olach, Božena Dorociaková, Anna Najmanová

Publication date: 22 July 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/346745

zbMATH Keywords

positive solutions

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40)

Related Items (5)

Uncountably many solutions of first-order neutral nonlinear differential equations ⋮ Initial functions defining dominant positive solutions of a linear differential equation with delay ⋮ Existence of positive solutions of neutral differential equations ⋮ Two classes of positive solutions of first order functional differential equations of delayed type ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Retract principle for neutral functional differential equations
• Fredholm's boundary-value problems for differential systems with a single delay
• Existence for nonoscillatory solutions of second-order nonlinear differential equations
• Two classes of asymptotically different positive solutions of the equation \(\dot y (t)= -f(t,y_t)\)
• Positive and oscillating solutions of differential equations with delay in critical case
• 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.
• 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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