TY - JOUR AU - Baculikova, Blanka PY - 2018 TI - Oscillation of strongly noncanonical equations JO - Journal of Nonlinear Sciences and Applications SP - 1124--1128 VL - 11 IS - 10 AB - New oscillation criteria for third order noncanonical differential equations of the form \[ \left(r_2(t)\left(r_1(t)y'(t)\right)'\right)'+p(t)y(\tau(t))=0 \] are established. Our technique employs an equivalent canonical representation of the studied equation, which essentially simplifies the examination of noncanonical equations. The results obtained are supported by several illustrative examples. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.10.02 DO - 10.22436/jnsa.011.10.02 ID - Baculikova2018 ER - TY - JOUR TI - Comparison theorems for nonlinear ODE’s AU - J. Džurina JO - Math. Slovaca PY - 1992 DA - 1992// VL - 42 ID - Džurina1992 ER - TY - JOUR TI - Disconjugate n-th order linear differential equations and principal solutions AU - P. Hartman JO - Bull. Amer. Math. Soc. PY - 1968 DA - 1968// VL - 74 ID - Hartman1968 ER - TY - JOUR TI - Principal solutions of disconjugate n-th order linear differential equations AU - P. Hartman JO - Amer. J. Math. PY - 1969 DA - 1969// VL - 91 ID - Hartman1969 ER - TY - BOOK TI - Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations AU - I. T. Kiguradze AU - T. A. Chanturia PB - Kluwer Acad. Publ. PY - 1993 DA - 1993// CY - Dordrecht ID - Kiguradze1993 ER - TY - JOUR TI - Comparison theorems for functional differential equations with deviating arguments AU - T. Kusano AU - M. Naito JO - J. Math. Soc. Japan PY - 1981 DA - 1981// VL - 33 ID - Kusano1981 ER - TY - JOUR TI - Non-oscillation of solutions of the equation \(x^{(n) }+ p_1(t)x^{(n-1)} +... + p_n(t)x = 0\) AU - A. Y. Levin JO - Uspekhi Mat. Nauk PY - 1969 DA - 1969// VL - 24 ID - Levin 1969 ER - TY - BOOK TI - Oscillation Theory of Differential Equations with Deviating Arguments AU - G. S. Ladde AU - V. Lakshmikantham AU - B. G. Zhang PB - Marcel Dekker PY - 1987 DA - 1987// CY - New York ID - Ladde1987 ER - TY - JOUR TI - On the mean-value theorem corresponding to a given linear homogeneous differential equations AU - G. Pólya JO - Trans. Amer. Math. Soc. PY - 1922 DA - 1922// VL - 24 ID - Pólya1922 ER - TY - JOUR TI - Canonical forms and principal systems for general disconjugate equations AU - W. F. Trench JO - Trans. Amer. Math. Soc. PY - 1974 DA - 1974// VL - 184 ID - Trench1974 ER - TY - JOUR TI - Asymptotic behaviour of disconjugate n-th order differential equations AU - D. Willett JO - Canad. J. Math. PY - 1971 DA - 1971// VL - 23 ID - Willett1971 ER -