Abstract
We establish new results on the existence of positive solutions for a kind multi-point boundary value problem with multivalued operator. Our results are based on a recent Leggett-Williams theorem for coincidences of multivalued operators due to O’Regan and Zima. The most interesting point is the acquisition of positive solutions for the resonance case. And an example is constructed to show that our result here is valid.
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Supported by NNSF of China (10671012) and SRFDP of China (20050007011).
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Yang, A., Ge, W. Positive solutions of multi-point boundary value problems with multivalued operators at resonance. J. Appl. Math. Comput. 31, 359–368 (2009). https://doi.org/10.1007/s12190-008-0217-2
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DOI: https://doi.org/10.1007/s12190-008-0217-2