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Kneser-type oscillation criteria for self-adjoint two-term differential equations
Authors:Ondřej Došlý  Jan Osička
Institution:1. Faculty of Science, Masaryk University, Jana?kovo nám, 2a, 662 95, BRNO, Czech Republic
Abstract:It is proved that the even-order equationy (2n) +p(t)y=0 is (n,n) oscillatory at infin if

$$\mathop {\lim }\limits_{t \to \infty }  ( - 1)^n  \log  t\int_t^\infty  {s^{2n - 1} } \left( {p(s) + \frac{{\mu _{2n} }}{{s^{2n} }}} \right) ds<  - K_n $$
Keywords:1991 Mathematics Subject Classification" target="_blank">1991 Mathematics Subject Classification  34C10
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