Geodesic
Local $K$-Convoluted $C$-groups and Abstract Cauchy Problems
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 655

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We first present a new form of a local $K$-convoluted $C$-group on a Banach space $X$, and then deduce some basic properties of a nondegenerate local $K$-convoluted $C$-group on $X$ and some generation theorems of local $K$-convoluted $C$-groups, which can be applied to obtain some equivalence relations between the generation of a nondegenerate local $K$-convoluted $C$-group on $X$ with subgenerator $A$ and the unique existence of solutions of the abstract Cauchy problem $\text{ACP}(A,f,x)$.
Classification : 47D60, 47D62
Keywords: local K-convoluted C-group, generator, subgenerator, abstract Cauchy problem 
@article{KJM_2024_48_5_a0,
     author = {Chung-Cheng Kuo},
     title = {Local $K${-Convoluted} $C$-groups and {Abstract} {Cauchy} {Problems}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {655 },
     publisher = {mathdoc},
     volume = {48},
     number = {5},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a0/}
}
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Chung-Cheng Kuo. Local $K$-Convoluted $C$-groups and Abstract Cauchy Problems. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 5, p. 655 . http://geodesic.mathdoc.fr/item/KJM_2024_48_5_a0/