An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation

DOI10.3934/dcdsb.2014.19.2461zbMath1308.34079OpenAlexW2320516519MaRDI QIDQ478732

Mária Kúdelčiková, Josef Diblík, Klara R. Janglajew

Publication date: 4 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.2461

zbMATH Keywords

asymptotic expansionpositive solutionadvanced linear differential equationexplicit criterionimplicit criterion

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Linear functional-differential equations (34K06)

Related Items (6)

Integral criteria for the existence of positive solutions of first-order linear differential advanced-argument equations ⋮ Exponentially decaying solutions for models with delayed and advanced arguments: Nonlinear effects in linear differential equations ⋮ Two classes of asymptotically different positive solutions to advanced differential equations via two different fixed-point principles ⋮ Matrix measure and asymptotic behaviors of linear advanced systems of differential equations ⋮ Unnamed Item ⋮ New explicit integral criteria for the existence of positive solutions to the linear advanced equation \({\dot{y}(t) = c(t) y(t + \tau)}\)

Cites Work

• Existence of positive solutions of neutral differential equations
• Oscillatory and periodic solutions of impulsive differential equations with piecewise constant argument
• Nonoscillation of first order impulse differential equations with delay
• Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case
• A note on explicit criteria for the existence of positive solutions to the linear advanced equation \(\dot{x}(t) = c(t) x(t + \tau)\)
• Nonoscillation Theory of Functional Differential Equations with Applications
• Oscillations of first-order delay differential equations in a critical state
• Oscillation and Nonoscillation Criteria for Delay Differential Equations
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