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math.CA2022
Monotone ODEs with Discontinuous Vector Fields in Sequence Spaces
Oleg Zubelevich
We consider a system of ODE in a Fréchet space with unconditional Schauder basis. The right side of the ODE is a discontinuous function. Under certain monotonicity conditions we pr…
math-ph2022
The Lagrange-D'Alembert Principle in Banach Space
Oleg Zubelevich
The Lagrange-D'Alembert Principle is one of the fundamental tools of classical mechanics. We generalize this principle to mechanics-like ODE in Banach spaces. As an application we…