References about non uniqueness of solution in ordinary differential equations

Question

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.

Some more examples: http://math.stackexchange.com/questions/239284/can-a-differential-equation-have-non-unique-solutions, 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 — Amzoti, Oct 29 '13 at 15:22

score 3 · Accepted Answer · edited Apr 13 '17 at 12:19

3

Check out:

Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations By Ratan Prakash Agarwal, Ravi P. Agarwal, V. Lakshmikantham
Some more examples: Can a differential equation have non unique solutions?
Search the web for notes with more examples.

edited Apr 13 '17 at 12:19

Community

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answered Dec 06 '13 at 05:50

Amzoti

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Great references, and a fine link, too! +1 – amWhy Dec 07 '13 at 02:05

References about non uniqueness of solution in ordinary differential equations

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