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How to tell if a differential equation is well posed? I understand this means a solution exists and is unique. How would one determine if an ODE is well posed?
I don't know. Does it? It seems to depend on author and convention.How to tell if a differential equation is well posed? I understand this means a solution exists and is unique.
To determine existence/uniqueness, you'll need to have a general theorem establishing them. The Picard-Lindelof theorem and the Peano existence theorem are two popular ones which show existence (and uniqueness for Picard-Lindelof) for quite some general ODE's.How would one determine if an ODE is well posed?