ON POSITIVITY OF SEVERAL COMPONENTS OF SOLUTION VECTOR FOR SYSTEMS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

DOI10.1017/S0017089509990218zbMath1200.34073OpenAlexW2093299588MaRDI QIDQ3655773

Alexander I. Domoshnitsky, Ravi P. Agarwal

Publication date: 12 January 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089509990218

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Oscillation theory of functional-differential equations (34K11)

Related Items (6)

New existence results for nonlinear delayed differential systems at resonance ⋮ Positivity for non-Metzler systems and its applications to stability of time-varying delay systems ⋮ Component-wise positivity of solutions to periodic boundary problem for linear functional differential system ⋮ On the monotonicity of solutions of nonlinear systems with respect to the initial conditions ⋮ Differential inequalities for one component of solution vector for systems of linear functional differential equations ⋮ Positivity of fundamental matrix and exponential stability of delay differential system

Cites Work

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• Functional differential equations with infinite delay
• An existence criterion of positive solutions of \(p\)-type retarded functional differential equations
• One approach to study of stability of integro-differential equations.
• Non-oscillation of the first-order differential equations with unbounded memory for stabilization by control signal
• Diagonal dominance and harmless off-diagonal delays
• On boundary value problems for systems of linear functional differential equations

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