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20062023
most citedNon-exponential stability and decay rates in nonlinear stochastic difference equation with unbounded noises

38 citations · 70 across the 29 of their papers we have counts for

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2 papers · 1 filter

math.CA2017★ 3 cited

Blow-up and superexponential growth in superlinear Volterra equations

John A. D. Appleby, Denis D. Patterson

This paper concerns the finite-time blow-up and asymptotic behaviour of solutions to nonlinear Volterra integrodifferential equations. Our main contribution is to determine sharp e…

math.CA2017★ 2 cited

Growth Rates of Solutions of Superlinear Ordinary Differential Equations

John A. D. Appleby, Denis D. Patterson

In this letter we obtain sharp estimates on the growth rate of solutions to a nonlinear ODE with a nonautonomous forcing term. The equation is superlinear in the state variable and…