29 citations · 73 across the 14 of their papers we have counts for
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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…