Paper detail

Monotone ODEs with Discontinuous Vector Fields in Sequence Spaces

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 prove an existence theorem for the corresponding initial value problem. We employ an idea of the partial order which seems to be new in this field.

preprint2022arXivOpen access

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