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Nonoscillation and eventual disconjugacy. (English) Zbl 0367.34024

MSC:
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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[1] Uri Elias, The extremal solutions of the equation \?\?+\?(\?)\?=0. II, J. Math. Anal. Appl. 55 (1976), no. 2, 253 – 265. · Zbl 0336.34036
[2] -, Eigenvalue problems for the equation \( Ly + \lambda p(x)y = 0\), (preprint). · Zbl 0351.34014
[3] M. S. Keener, On the equivalence of oscillation and the existence of infinitely many conjugate points, Rocky Mountain J. Math. 5 (1975), 125 – 134. · Zbl 0324.34027
[4] G. B. Gustafson, The nonequivalence of oscillation and nondisconjugacy, Proc. Amer. Math. Soc. 25 (1970), 254 – 260. · Zbl 0195.37403
[5] Walter Leighton and Zeev Nehari, On the oscillation of solutions of self-adjoint linear differential equations of the fourth order, Trans. Amer. Math. Soc. 89 (1958), 325 – 377. · Zbl 0084.08104
[6] A. J. Levin, Some questions bearing on the oscillation of solutions of linear differential equations, Soviet. Math. Dokl. 4 (1963), 121-124. · Zbl 0125.32306
[7] Zeev Nehari, Non-oscillation criteria for \?-\?\? order linear differential equations, Duke Math. J. 32 (1965), 607 – 615. · Zbl 0134.07301
[8] Zeev Nehari, Disconjugate linear differential operators, Trans. Amer. Math. Soc. 129 (1967), 500 – 516. · Zbl 0183.09101
[9] Zeev Nehari, Green’s functions and disconjugacy, Arch. Rational Mech. Anal. 62 (1976), no. 1, 53 – 76. · Zbl 0339.34036
[10] Jerry R. Ridenhour, Linear differential equations where nonoscillation is equivalent to eventual disconjugacy, Proc. Amer. Math. Soc. 49 (1975), 366 – 372. · Zbl 0313.34033
[11] William F. Trench, Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189 (1973), 319 – 327. · Zbl 0289.34051
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