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- W2018525892 abstract "Conditions are found under which solutions of the Volterra integral equation $x'(t) + int _0^t a_lambda (t - s)x(s)ds = k$ are bounded on ${ 0 leqq t < infty } $, uniformly in $lambda $, when each $a_lambda $ is nonnegative, nonincreasing and convexx in t. The results generalize earlier work of the author which did not admit certain piecewise linear kernels. The main proof uses a method of Shea and Wainger involving transforms of $H^1 $ functions. Applications to equations in Hilbert space are indicated." @default.
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- W2018525892 date "1975-08-01" @default.
- W2018525892 modified "2023-10-14" @default.
- W2018525892 title "Uniform Boundedness in a Class of Volterra Equations" @default.
- W2018525892 doi "https://doi.org/10.1137/0506060" @default.
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