Jan Osička

Oscillation and Nonoscillation of Higher Order Self-Adjoint Differential Equations

Oscillation and nonoscillation criteria for the higher order self-adjoint differential equation (-1)n(talphay(n))(n)+q(t)y = 0 (*) are established. In these criteria, equation (*) is viewed as a perturbation of the conditionally oscillatory equation (-1)n(talphay(n))(n) - µ,α―t2n-αy = 0, where μn, α is the critical constant in conditional oscillation. Some open problems in the theory of conditionally oscillatory, even order, self-adjoint equations are also discussed.

Kneser-Type Oscillation Criteria for Self-Adjoint Two-Term Differential Equations

AbstractIt is proved that the even-order equationy(2n)+p(t)y=0 is (n,n) oscillatory at ∞ if

Shale Gas in Poland and the Czech Republic: Regulation,Infrastructure and Perspectives of Cooperation

\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

The Future of the Druzhba Pipeline as a Strategic Challenge for the Czech Republic and Poland

, where

Technicko-ekonomické aspekty energetiky

K_n = ( - 1)^{n - 1} \tfrac{1}{2}\tfrac{{d^2 }}{{d\lambda ^2 }}P_{2n} (\lambda )|_{\lambda = \tfrac{{2n - 1}}{2}} , P(\lambda ) = (\lambda - 1) \ldots (\lambda - 2n + 1), \mu _{2n} = P\left( {\tfrac{{2n - 1}}{2}} \right)