# 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} }

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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## Hartman-Wintner growth results for sublinear functional differential equations

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## Growth Rates of Sublinear Functional and Volterra Differential Equations

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