Positiveness conditions for the Cauchy function for differential equations with distributed delay

DOI10.3103/S1066369X10110058zbMath1237.34121OpenAlexW2041294968MaRDI QIDQ646813

Tat'yana Leonidovna Sabatulina

Publication date: 18 November 2011

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x10110058

zbMATH Keywords

distributed delayCauchy functionpositiveness conditions

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Oscillation theory of functional-differential equations (34K11) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (3)

On stability of a differential equation with aftereffect ⋮ Functional differential inequalities and estimation of the Cauchy function of an equation with aftereffect ⋮ Construction of exponentially decreasing estimates of solutions to a Cauchy problem for some nonlinear systems of delay differential equations

Cites Work

• The fixed sign property of solutions and stability of linear differential equations with varying distributed delay
• Linearized oscillation theory for a nonlinear equation with a distributed delay
• Über das asymptotische Verhalten der Lösungen einer linearen Differentialgleichung mit Nachwirkung. (On the asymptotic behavior of solutions of a linear differential equation with delay)
• Non-oscillation of the first-order differential equations with unbounded memory for stabilization by control signal
• Oscillating solutions of scalar delay-differential equations with state dependence
• On oscillation of equations with distributed delay
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