Thread: ¿unsolved problems in differential equations?

Hi, I would like to talk with you about the modern lines of investigation about differential equations ( ode,pde...) , which are the most interesting unsolved questions, ecuations to solve, general tools for solving differential equations ....

I know we have learned a lot, but still there is a lot of work to do .

Originally Posted by arnoldpredator

Hi, I would like to talk with you about the modern lines of investigation about differential equations ( ode,pde...) , which are the most interesting unsolved questions, ecuations to solve, general tools for solving differential equations ....

I know we have learned a lot, but still there is a lot of work to do .

I think the solvability of differential equations is the most difficult part

Originally Posted by simplependulum

I think the solvability of differential equations is the most difficult part

Thanks, it is very difficult, ¿what do you know about solvability? ¿what do mathematicians do to demonstrate it?