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Existence theorems for nonlinear boundaryvalue problems for second order differential inclusions

Kandylakis Dimitrios, Papageorgiou Nikolaos S.

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URI: http://purl.tuc.gr/dl/dias/6A240121-F2A0-4E6D-9AD7-DE9B7ABF12E5
Year 1996
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation D.A. Kandilakis, N.S. Papageorgiou," Existence theorems for nonlinear boundary value problems for second order differential inclusions," Journal of Differential Equations, vol. 132, no. 1, pp. 107–125, Nov. 1996. doi: 10.1006/jdeq.1996.0173 https://doi.org/10.1006/jdeq.1996.0173
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Summary

In this paper we consider a nonlinear two-point boundary value problem for second order differential inclusions. Using the Leray–Schauder principle and its multivalued analog due to Dugundji–Granas, we prove existence theorems for convex and nonconvex problems. Our results are quite general and incorporate as special cases several classes of problems which are of interest in the literature.

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