Existence Results for Third-Order Differential Inclusions with Three-Point Boundary Value Problems
Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 311-318
Ali Rezaiguia; Smail Kelaiaia; Ali Rezaiguia; Smail Kelaiaia. Existence Results for Third-Order Differential Inclusions with Three-Point Boundary Value Problems. Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 311-318. http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a10/
@article{AMUC_2016_85_2_a10,
     author = {Ali Rezaiguia and Smail Kelaiaia and Ali Rezaiguia and Smail Kelaiaia},
     title = { Existence {Results} for {Third-Order} {Differential} {Inclusions} with {Three-Point} {Boundary} {Value} {Problems}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {311--318},
     year = {2016},
     volume = {85},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a10/}
}
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In this paper, we investigate the solutions for a third-order dif-ferential inclusion with three-point boundary value problem. In the rst we applying the Schaefers xed point theorem combined with a selection theorem due to Bressan and Colombo. And in the second our result is based on the xed point theorem for multivalued maps due to Covitz and Nadler.