An existence criterion of positive solutions of \(p\)-type retarded functional differential equations

DOI10.1016/S0377-0427(02)00439-9zbMath1019.34072OpenAlexW2082036774MaRDI QIDQ1860413

Josef Diblík, Zdeněk Svoboda

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00439-9

zbMATH Keywords

positive solutionretract principle\(p\)-functiondelayed equation

Mathematics Subject Classification ID

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

Related Items (8)

Long-time behavior of positive solutions of a differential equation with state-dependent delay ⋮ Existence of strictly decreasing positive solutions of linear differential equations of neutral type ⋮ Retract principle for neutral functional differential equations ⋮ Non-oscillation of the first-order differential equations with unbounded memory for stabilization by control signal ⋮ Positive solutions of \(p\)-type retarded functional differential equations ⋮ Positive solutions of retarded functional differential equations ⋮ ON POSITIVITY OF SEVERAL COMPONENTS OF SOLUTION VECTOR FOR SYSTEMS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS ⋮ Explicit integral criteria for the existence of positive solutions of the linear delayed equation \(\dot{x}(t) = -c(t) x(t -\tau(t))\)

Cites Work

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• On oscillation of a logistic equation with several delays
• On the delay differential equation y'(x) = ay(τ(x)) + by(x)
• A criterion for existence of positive solutions of systems of retarded functional differential equations
• Oscillations of first-order delay differential equations in a critical state
• Oscillation and Nonoscillation Criteria for Delay Differential Equations

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