EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 77(91), pp. 87–92 (2005)

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KNESER'S THEOREM FOR WEAK SOLUTIONS OF AN INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL

Aldona Dutkiewicz and Stanislaw Szufla

Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznan, Poland

Abstract: We prove that the set of all weak solutions of the Volterra integral equation (1) is nonempty, compact and connected.

Classification (MSC2000): 45N05

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