Existence and uniqueness of solutions to abstract Volterra integral equations

Kiffe, T.; Stecher, M.

doi:10.1090/S0002-9939-1978-0481983-9

Existence and uniqueness of solutions to abstract Volterra integral equations
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by T. Kiffe and M. Stecher PDF

Proc. Amer. Math. Soc. 68 (1978), 169-175 Request permission

Abstract:

The existence and uniqueness of solutions to the equation $u(t) + \smallint _0^ta(t - s)Au(s)\;ds \backepsilon f(t)$, where A is a maximal monotone operator, is proved under various restrictions on A and f.

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A nonlinear Volterra equation arising in the theory of superfluidity

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