Sturmian comparison and oscillation theorems for a class of half-linear elliptic equations
β Scribed by Norio Yoshida
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 256 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
The authors consider second-order difference equations of the type A ((~~~)") + w&,, = 0, (E) where cz 10 is the ratio of odd positive integers, {qn} is a positive sequence, and {u(n)} is a positive increasing sequence of integers with o(n) -+ co as n + cc. They give some oscillation and comparison
a b s t r a c t Let T be a time scale (i.e., a closed nonempty subset of R) with sup T = +β. Consider the second-order half-linear dynamic equation where r(t) > 0, p(t) are continuous, In particular, no explicit sign assumptions are made with respect to the coefficient p(t). We give conditions und