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Zeitschrift für Analysis und ihre Anwendungen 22 (2003), No. 1, 043--052
Copyright Heldermann Verlag 2003

Integrable Singularities and Weakly Sequentially Continuous Maps

R. P. Agarwal
Florida Institute of Technology, Dept. of Mathematics, Melbourne, FL 32901, U.S.A.

D. O'Regan
National Unversity of Ireland, Dept. of Mathematics, Galway, Ireland

New existence results for singular second order boundary value problems, where the singularity is integrable, are presented using fixed point theory for weakly sequentially continuous maps.

Keywords: Integrable singularities, existence of solutions, fixed points, weak sequential continuity.

MSC: 47A10, 34B16.

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