Xiao Yan-ping
Abstract
The existence theorem for bounded Φ-variation solutions to the Caratheodory system is established by using the bounded Φ-variation function theory, which was introduced by Musielak and Orlicz. This result is an essential generalization of the existence theorem for bounded variation solutions to discontinuous systems.
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The existence theorem for bounded Φ-variation solutions to the Caratheodory system is established by using the bounded Φ-variation function theory, which was introduced by Musielak and Orlicz. This result is an essential generalization of the existence theorem for bounded variation solutions to discontinuous systems.
Key concepts: Bounded variation, Bounded function, Mathematics, Bounded deformation, Variation (astronomy), Generalization, Bounded inverse theorem, Function (biology)