Geodesic
Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness
Archivum mathematicum, Tome 59 (2023) no. 1, pp. 99-107.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We study the existence of a mild solution to the nonlocal initial value problem for semilinear second-order differential inclusions in abstract spaces. The result is obtained by combining the Kakutani fixed point theorem with the approximation solvability method and the weak topology. This combination enables getting the result without any requirements for compactness of the right-hand side or of the cosine family generated by the linear operator.
DOI : 10.5817/AM2023-1-99
Classification : 34A60, 34G25
Keywords: second-order differential inclusion; nonlocal conditions; Banach spaces; cosine family; approximation solvability method; mild solution 
@article{10_5817_AM2023_1_99,
     author = {Pavla\v{c}kov\'a, Martina and Taddei, Valentina},
     title = {Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness},
     journal = {Archivum mathematicum},
     pages = {99--107},
     publisher = {mathdoc},
     volume = {59},
     number = {1},
     year = {2023},
     doi = {10.5817/AM2023-1-99},
     mrnumber = {4563020},
     zbl = {07675578},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2023-1-99/}
}
TY  - JOUR
AU  - Pavlačková, Martina
AU  - Taddei, Valentina
TI  - Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness
JO  - Archivum mathematicum
PY  - 2023
SP  - 99
EP  - 107
VL  - 59
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2023-1-99/
DO  - 10.5817/AM2023-1-99
LA  - en
ID  - 10_5817_AM2023_1_99
ER  - 
%0 Journal Article
%A Pavlačková, Martina
%A Taddei, Valentina
%T Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness
%J Archivum mathematicum
%D 2023
%P 99-107
%V 59
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2023-1-99/
%R 10.5817/AM2023-1-99
%G en
%F 10_5817_AM2023_1_99
Pavlačková, Martina; Taddei, Valentina. Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness. Archivum mathematicum, Tome 59 (2023) no. 1, pp. 99-107. doi : 10.5817/AM2023-1-99. http://geodesic.mathdoc.fr/articles/10.5817/AM2023-1-99/

Cité par Sources :