SUBEXPONENTIAL GROWTH RATES IN FUNCTIONAL DIFFERENTIAL EQUATIONS

@inproceedings{Appleby2014SUBEXPONENTIALGR,
  title={SUBEXPONENTIAL GROWTH RATES IN FUNCTIONAL DIFFERENTIAL EQUATIONS},
  author={John A. D. Appleby and Denis D. Patterson},
  year={2014}
}
  • John A. D. Appleby, Denis D. Patterson
  • Published 2014
  • Mathematics
  • This paper determines the rate of growth to infinity of a scalar autonomous nonlinear functional differential equation with finite delay, where the right hand side is a positive continuous linear functional of $f(x)$. We assume $f$ grows sublinearly, and is such that solutions should exhibit growth faster than polynomial, but slower than exponential. Under some technical conditions on $f$, it is shown that the solution of the functional differential equation is asymptotic to that of an… CONTINUE READING

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    Solution estimates for linear differential equations with delay

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    Growth Rates of Sublinear Functional and Volterra Differential Equations

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