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On solutions of disconjugate differential equations. (English) Zbl 0297.34027


MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30 Linear ordinary differential equations and systems
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References:

[1] Barrett, J. H., Third order differential equations with non-negative coefficients, J. Math. Anal. Appl., 24, 212-224 (1968) · Zbl 0174.39903
[2] Barrett, J. H., Oscillation theory of ordinary linear differential equations, Advances in Math., 3, 415-509 (1969) · Zbl 0213.10801
[3] Etgen, G. J.; Shih, C. D., Disconjugacy of third order differential equations with nonnegative coefficients, J. Math. Anal. Appl., 41, 420-425 (1973) · Zbl 0275.34030
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[5] Etgen, G. J.; Shih, C. D., Comparison theorems and oscillation criteria for third order differential equations, Not. Amer. Math. Soc., 20, A-124 (1973) · Zbl 0309.34021
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[7] Hartman, P., Principal solutions of disconjugate \(n\)-th order linear differential equations, Amer. J. Math., 91, 306-362 (1969) · Zbl 0184.11603
[8] P. HartmanAnn. Polon. Math.; P. HartmanAnn. Polon. Math. · Zbl 0293.34017
[9] Hartman, P.; Wintner, A., Linear differential and difference equations with monotone coefficients, Amer. J. Math., 75, 731-743 (1953) · Zbl 0051.07105
[10] Leighton, W.; Morse, M., Singular quadratic functions, Trans. Amer. Math. Soc., 40, 252-286 (1936) · JFM 62.0577.02
[11] Levin, A. Yu, Russian Math. Surveys, 24, 43-99 (1969) · Zbl 0195.37501
[12] Pólya, G., On the mean value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc., 24, 312-324 (1922) · JFM 50.0299.02
[13] Sherman, T., Properties of solutions of \(n\) th order linear differential equations, Pacific J. Math., 15, 1045-1060 (1965) · Zbl 0132.31204
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