Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case

DOI10.1016/j.camwa.2008.01.015zbMath1155.34337OpenAlexW1966516576WikidataQ115359603 ScholiaQ115359603MaRDI QIDQ1004698

Zdeněk Svoboda, Josef Diblík, Zdeněk Šmarda

Publication date: 12 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.01.015

zbMATH Keywords

critical casepositive solutioninfinite delay\(p\)-functiondelayed equation

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Related Items (10)

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 ⋮ An explicit criterion for the existence of positive solutions of the linear delayed equation \(\dot{x}(t)= -c(t)x(t - \tau (t))\) ⋮ A final result on the oscillation of solutions of the linear discrete delayed equation \({\Delta}x(n) = -p(n)x(n - k)\) with a positive coefficient ⋮ Asymptotic behaviour of a two-dimensional differential system with a finite number of nonconstant delays under the conditions of instability ⋮ Notes on oscillation of linear delay differential equations ⋮ On the critical case in oscillation for differential equations with a single delay and with several delays ⋮ Oscillation criteria for second-order superlinear neutral differential equations ⋮ Oscillation criteria for certain second-order nonlinear neutral differential equations of mixed type ⋮ Stability of a functional differential system with a finite number of delays

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