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- W4386742641 abstract "In this chapter, we recall several types of sufficient conditions to guarantee the uniqueness of solutions to the initial value problem for ordinary differential equations. We first review classical Lipschitz- and Osgood-type uniqueness conditions. We then consider a gradient flow of a convex function that is not necessarily differentiable. This system may not satisfy the aforementioned uniqueness condition because the gradient of a convex function may not be continuous. Because of the monotonicity nature of the problem, we still find uniqueness." @default.
- W4386742641 created "2023-09-15" @default.
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- W4386742641 date "2023-01-01" @default.
- W4386742641 modified "2023-10-01" @default.
- W4386742641 title "Uniqueness of Solutions to Initial Value Problems for Ordinary Differential Equations" @default.
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- W4386742641 doi "https://doi.org/10.1007/978-3-031-34796-2_1" @default.
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