Geodesic
Existence of solutions set for fourth-order neutral differential inclusions with boundary conditions
Ali Rezaiguia1 ; Smail Kelaiaia2 ; Ali Rezaiguia ; Smail Kelaiaia
1Department of Mathematics, Faculty of Science, University of Ha'il, Ha'il Saudi Arabia; LiM Laboratory, Department of Computer Science and Mathmatics, Souk Ahras University, Souk Ahras, Algeria
2Department of Mathematics, Faculty of Sciences, University of Annaba, Annaba, Algeria
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 3, pp. 1-12 
Ali Rezaiguia; Smail Kelaiaia; Ali Rezaiguia; Smail Kelaiaia. Existence of solutions set for fourth-order neutral differential inclusions with boundary conditions. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 3, pp. 1-12. http://geodesic.mathdoc.fr/item/AMUC_2022_91_3_a3/
@article{AMUC_2022_91_3_a3,
     author = {Ali Rezaiguia and Smail Kelaiaia and Ali Rezaiguia and Smail Kelaiaia},
     title = { Existence of solutions set for fourth-order neutral differential inclusions with boundary conditions},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {1--12},
     year = {2022},
     volume = {91},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_3_a3/}
}
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Voir la notice de l'article provenant de la source Comenius University

We prove the existence of solutions for a fourth-order differential inclusion with boundary conditions. Our results are obtained by using suitable fixed point theorems and selection theory. Finally, some examples are given to illustrate our results. In this work, these results extend the work of A. Cernea [8].