I am looking for some example of IVP with non unique solution. I already know the examples of $f(x,y)=k\sqrt{y}$ and $f(x,y)=k y^{2/3}$. Any book or link is welcome.

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    $\begingroup$ Some more examples: math.stackexchange.com/questions/239284/…, Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations By Ratan Prakash Agarwal, Ravi P. Agarwal, V. Lakshmikantham, and search the web for notes with more examples. Regards $\endgroup$ – Amzoti Oct 29 '13 at 15:22
  • $\begingroup$ @PostNoBills: Added as requested. Regards $\endgroup$ – Amzoti Dec 6 '13 at 5:51

Check out:

  • $\begingroup$ Great references, and a fine link, too! +1 $\endgroup$ – Namaste Dec 7 '13 at 2:05

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