Oblique repulsion in the nonnegative quadrant
classification
🧮 math.DS
keywords
quadrantnonnegativeattractive-repulsiveconditionconsiderconstantscornerdifferential
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We consider an electrostatic attractive-repulsive differential system in the nonnegative quadrant. Under some condition on the constants there exists a unique global solution. The main difficulty is to prove uniqueness when starting at the corner of the quadrant.
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