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The existence of monotonic solutions of a nonlinear car-following equation

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Publication:1238936
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DOI10.1016/0022-247X(77)90259-1zbMath0359.34069MaRDI QIDQ1238936

J. Harband

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)


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A linear quadratic stochastic Stackelberg differential game with time delay ⋮ The existence of monotonic solutions of a nonlinear car-following equation ⋮ Safe solutions of a nonlinear car-following equation ⋮ Robust \(H_\infty \) filter design for uncertain fuzzy neutral systems



Cites Work

  • Unnamed Item
  • The existence of monotonic solutions of a nonlinear car-following equation
  • Comparison theorems for scalar delay differential equations
  • Nonlinear Follow-the-Leader Models of Traffic Flow
  • Traffic Dynamics: Analysis of Stability in Car Following
  • A non-linear difference-differential equation.
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