Oscillation of second-order linear delay differential equations

• Autorzy: Ján Ohriska
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to derive sufficient conditions for the linear delay differential equation (r(t)y′(t))′ + p(t)y(τ(t)) = 0 to be oscillatory by using a generalization of the Lagrange mean-value theorem, the Riccati differential inequality and the Sturm comparison theorem.

Słowa kluczowe

EN

oscillation theory; linear functional-differential equations; generalized derivatives

Kategorie tematyczne

• 34K11: Oscillation theory
• 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems
• 34K06: Linear functional-differential equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 3
• Strony: 439-452

Daty

wydano

2008-09-01

online

2008-07-02

Twórcy

autor

Ján Ohriska

Bibliografia

• [1] Barrett J.H., Oscillation theory of ordinary linear differential equations, Advances in Math., 1969, 3, 415–509 http://dx.doi.org/10.1016/0001-8708(69)90008-5
• [2] Džurina J., Oscillation of a second order delay differential equations, Arch. Math. (Brno), 1997, 33, 309–314
• [3] Erbe L., Oscillation criteria for second order nonlinear delay equations, Canad. Math. Bull., 1973, 16, 49–56
• [4] Hartman P., Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964
• [5] Ohriska J., Oscillation of second order delay and ordinary differential equation, Czechoslovak Math. J., 1984, 34, 107–112
• [6] Ohriska J., On the oscillation of a linear differential equation of second order, Czechoslovak Math. J., 1989, 39, 16–23
• [7] Ohriska J., Oscillation of differential equations and v-derivatives, Czechoslovak Math. J., 1989, 39, 24–44
• [8] Ohriska J., Problems with one quarter, Czechoslovak Math. J., 2005, 55, 349–363 http://dx.doi.org/10.1007/s10587-005-0026-9
• [9] Willett D., On the oscillatory behavior of the solutions of second order linear differential equations, Ann. Polon. Math., 1969, 21, 175–194

Identyfikatory

DOI

10.2478/s11533-008-0030-z