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Neumann problem for a class of quasilinear ordinary differential equations

Kandylakis Dimitrios, Papageorgiou Nikolaos S

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URI: http://purl.tuc.gr/dl/dias/54AB31F6-C6F8-4123-A591-5BE409FA409D
Year 2000
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation D.A. Kandilakis, N.S. Papageorgiou, "Νeumann problem for a class of quasilinear ordinary differential equations," Atti del Seminario Matematico e Fisico dell’Università di Modena, vol. 48, no. 1, pp. 163-177, 2000.
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Summary

The authors study a quasilinear scalar differential equation with Neumann boundary conditions and a discontinuous right-hand side. To guarantee the existence of solutions they pass to a multivalued problem by filling in the gaps at the discontinuity points. The multivalued problem is solved using variational techniques based on the nonsmooth critical point theory.

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