On the Solutions of a Quadratic Integral and an Integral-Differential Equation | Zendy

Lothar von Wolfersdorf | Zendy

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On the Solutions of a Quadratic Integral and an Integral-Differential Equation

Author(s) -

Lothar von Wolfersdorf

Publication year - 2002

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1084

Subject(s) - integral equation , mathematics , summation equation , mathematical analysis , quadratic equation , volume integral , line integral , fourier integral operator , electric field integral equation , integro differential equation , differential equation , riccati equation , geometry

An integral equation and a related integral-differential equation of first order over R+ with a quadratic integral term representing the so-called autocorrelation of the unknown function is dealt with. For both equations the general solution is constructed and estimated in the L-norm. Further, the asymptotic behaviour and the stability of the solution are investigated.

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