A reference on uniqueness in ordinary differential equations
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A reference on uniqueness in ordinary differential equations
This mathematics monograph brings together criteria for determining whether ordinary differential equations have unique solutions, alongside criteria for nonuniqueness. Its comparative approach examines the merits of the available methods, then turns to open problems and possible directions for addressing them. The emphasis is on organizing and evaluating a body of mathematical criteria, making the book a focused reference on a central question in differential equations.
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This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.
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