On the Asymptotic Behavior of Solutions of $x'(t) = - a(t)f(x(t - r(t)))$

DOI10.1137/0505057zbMath0254.34039OpenAlexW2047199446MaRDI QIDQ5669105

John R. Haddock

Publication date: 1974

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0505057

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

On the 3/2 stability theorem for one-dimensional delay-differential equations ⋮ Stability theorems for nonlinear scalar delay differential equations ⋮ Stability of a pure random delay system with two-time-scale Markovian switching ⋮ Global stability of a linear nonautonomous delay difference equation¹ ⋮ Asymptotic theory for a class of nonautonomous delay differential equations ⋮ On the asymptotic behavior of solutions of a nonlinear difference-differential equation ⋮ Explicit conditions for stability of nonlinear scalar delay differential equations with impulses ⋮ On the delay-differential equations x'(t) + a(t)f(x(t - r(t))) = 0 and x(t) + a(t)f(x(t - r(t)))=0 ⋮ On the stability for the delay-differential equation \(\dot x(t)=- a(t)f(x(t-r(t)))\) ⋮ Global attractivity results for nonlinear delay differential equations

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