Existence and uniqueness of a local solution for x' = f(t,x) using inverse functions
A condition on the function $f$ is given such that the scalar ordinary differential equation $x' = f(t,x)$ with initial condition $x(t_0) = x_0$ has a unique solution in a neighborhood of $t_0$. An example illustrates that this result can be used when other theorems which put conditions on...
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| Format: | Article |
| Language: | English |
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Texas State University
2013-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/124/abstr.html |