For a Sturm-Liouville problem, as in:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{d}{{dx}}\left[ {r(x)\frac{{dy}}{{dx}}} \right] + [\lambda p(x) + q(x)]y = 0[/tex]

I've read in several books that one assumes that p, q and r are continuous, real-valued and bounded in the interval I, r^{'}is continuous, and p>0.

But I've never seen or understood the reason why we make this assumption. What's the difference? Can't p be complex-valued? Why can't q be unbounded?

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# Sturm-Liouville Problem: conditions over the coefficients

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