Geodesic
Existence results for second-order nonlinear differential inclusion with nonlocal boundary conditions
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 1, pp. 35-45

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In this paper, we investigate the existence of solutions for a second-order differential inclusion with nonlocal boundary conditions. To establish the existence results for the given problem, first we apply Schaefer's fixed point theorem combined with a selection theorem due to Bressan and Colombo. Second, our result is based on the fixed point theorem for multivalued maps due to Covitz and Nadler. An example is given to illustrate the obtained results. 
@article{SJVM_2021_24_1_a3,
     author = {N. Bouteraa and S. Benaicha},
     title = {Existence results for second-order nonlinear differential inclusion with nonlocal boundary conditions},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {35--45},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2021_24_1_a3/}
}
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N. Bouteraa; S. Benaicha. Existence results for second-order nonlinear differential inclusion with nonlocal boundary conditions. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 1, pp. 35-45. http://geodesic.mathdoc.fr/item/SJVM_2021_24_1_a3/