We present two theorems concerning uniqueness of solutions for second order ordinary differential equations that have a generalized left-hand side with initial conditions. Despite the fact that the hypotheses are weak, the theorems cover a large number of cases and the proofs are not especially complicated.
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1 March 2015
Results on Uniqueness of Solutions for a Generalized Second Order Differential Equation
Daniel C. Biles
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differential equations
initial value problem
Lipschitz
second order
uniqueness