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Continuous dependence of nonmonotonic discontinuous differential equations

Continuous dependence of nonmonotonic discontinuous differential equations

Continuous dependence of solutions for a class of nonmonotonic, discontinuous differential equations is studied. First, a local existence theorem due to <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper Z"> <mml:semantics> <mml:mi>Z</mml:mi> <mml:annotation encoding="application/x-tex">Z</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. Wu is extended to a larger class. Then, a result concerning continuous dependence for this larger …