The Nemytskiĭ operator and vector measure solutions for non-linear initial value problems

DOI10.2478/TMMP-2024-0006MaRDI QIDQ6629722

Josefina Alvarez Alonso, Martha Guzmán-Partida

Publication date: 30 October 2024

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

zbMATH Keywords

vector measureCarathéodory functionNemytskĭi operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Cites Work

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• The Nemytskii operator on bounded \(\phi\)-variation in the mean spaces
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• On the behavior of weak convergence under nonlinearities and applications
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