Το work with title Existence theorems for nonlinear boundaryvalue problems for second order differential inclusions by Kandylakis Dimitrios, Papageorgiou Nikolaos S. is licensed under Creative Commons Attribution 4.0 International
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
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.