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Mathematics
Differential Equations
Existence of unique solutions to a first order ODE on this interval
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[QUOTE="thidmir, post: 6583128, member: 697257"] [B]TL;DR Summary:[/B] I am trying to find if there is a way to prove the existence and uniqueness of a solution to a first order ODE on an interval including infinity. I am trying to find a way to prove that a certain first order ode has a unique solution on the interval (1,infinity). Usually the way to do this is to show that if x' = f(t,x) (derivative with respect to t), then f(t,x) and the partial derivative with respect to f are continuous. However, this would show that a solution exists only on an interval [I]inside[/I] (1,infinity). Is there any way to show that a solution exists on the entire interval? [/QUOTE]
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Mathematics
Differential Equations
Existence of unique solutions to a first order ODE on this interval
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