By John R. Graef
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Math. Soc. 167 (1972), 399-434. 52. C. V. Coffman and J. S. W. Wong, Oscillation and nonoscillation theorems for second order ordinary differential equations, Funkcial. Ekvac. 15 (1972), 119-130. 53. W. J. Coles, A simple proof of a well-known oscillation theorem, Proc. Amer. Math. Soc. 19 (1968), 507. 54. W. J. Coles, An oscillation criterion for second-order linear differential equations, Proc. Amer. Math. Soc. 19 (1968), 755-759. W. J. Coles, Oscillation criterion for nonlinear second order equations, Ann.
4. equation (I) with H(t,u) = P(t)ua, where p(t) is positive on Let n RT and a is the quotient of two odd positive integers. be even and 0 < a < fmta(n 1. 4) T is necessary and sufficient for the oscillation of Equation (I) Let n be odd, 0 < a < 1. 4) is replaced by tonically to zero. 5) T The sufficiency part of the above criterion for n even and a > 1 was actually given for the first time by Kiguradge [157; Theorem 5] in 1962. The case n even and 0 < a < 1 in the above theorem extends a result of Belohorec [6] who considered second order equations.
Math. Anal. , to appear. 89. M. K. Grammatikopoulos, Oscillatory and asymptotic behaviour of differential equations with deviating arguments, Hiroshima Math. J. 6 (1976), 31-53. M. K. Grammatikopoulos, Y. G. Sficas, and V. A. Staikos, Oscillatory properties of strongly superlinear differential equations with deviating arguments, Univ. Ioannina, Tech. Report No. 36, 1975. 90. M. 91. M. K. Grammatikopoulos, Y. G. Sficas, and V. A. Staikos, On the types of nonoscillatory solutions of differential equations with deviating arguments, University of Ioannina, Tech.