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Monotone ODEs with Discontinuous Vector Fields in Sequence Spaces (2204.11037v4)
Published 23 Apr 2022 in math.CA, math-ph, and math.MP
Abstract: We consider a system of ODE in a Fr\'echet 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.
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