Degree theory for discontinuous operators
classification
🧮 math.CA
keywords
operatorsdegreediscontinuousapplicationclasscontinuousdeducedefinition
read the original abstract
We introduce a new definition of topological degree for a meaningful class of operators which need not be continuous. Subsequently, we derive a number of fixed point theorems for such operators. As an application, we deduce a new existence result for first-order ODEs with discontinuous nonlinearities.
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