Chen, Lu-San; Yeh, Cheh-Chih Oscillation theorems for second order nonlinear differential equations with an ”integrally small” coefficient. (English) Zbl 0445.34007 J. Math. Anal. Appl. 78, 49-57 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MSC: 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems Keywords:oscillation theorems; second order nonlinear; differential equations Citations:Zbl 0386.34031 PDF BibTeX XML Cite \textit{L.-S. Chen} and \textit{C.-C. Yeh}, J. Math. Anal. Appl. 78, 49--57 (1980; Zbl 0445.34007) Full Text: DOI References: [1] Atkinson, F. V., On second order nonlinear oscillations, Pacific J. Math., 5, 643-647 (1955) · Zbl 0065.32001 [2] Bobisud, L. E., Oscillation of nonlinear second order equations, (Proc. Amer. Math. Soc., 23 (1969)), 501-505 · Zbl 0186.41903 [3] Erbe, L., Oscillation theorems for second order nonlinear differential equations, (Proc. Amer. Math. Soc., 24 (1970)), 811-814 · Zbl 0194.12102 [4] Hartman, P., Ordinary Differential Equations (1964), Wiley-Interscience: Wiley-Interscience New York · Zbl 0125.32102 [5] Kartsatos, A. G., On oscillations of nonlinear equations of second order, J. Math. Anal. Appl., 24, 663-668 (1968) · Zbl 0203.40003 [6] Kiguradze, I. T., Oscillation properties of solutions of certain ordinary differential equations, Dokl. Akad. Nauk SSSR, 144, 649-652 (1962), (Russian) · Zbl 0144.11201 [7] Kiguradze, I. T., Conditions for the oscillation of solutions of nonlinear ordinary differential equations, I, Differentsial’nye Uravneniya, 10, 1387-1399 (1974), (Russian) · Zbl 0304.34033 [8] Kiguradze, I. T., Conditions for the oscillation of solutions of ordinary nonlinear differential equations, II, Differentsial’nye Uravneniya, 10, 1586-1594 (1974), (Russian) · Zbl 0304.34034 [9] Kamenev, I. V., Criteria for a second order linear equation to be oscillatory related to the existence of a principal solution, Differentsial’nye Uravneniya, 9, 370-373 (1973), (Russian) [10] Kamenev, I. V., A specifically nonlinear oscillation theorem, Differentsial’nye Uravneniya, 9, 574-576 (1973), (Russian) [11] Kamenev, I. V., Oscillation criteria related to averaging of solutions of ordinary differential equations of second order, Differensial’nye Uravneniya, 10, 246-252 (1974), (Russian) [12] Kamenev, I. V., A remark concerring a specifically nonlinear oscillation theorem, Differentsial’nye Uravneniya, 10, 2073-2074 (1974), (Russian) [13] Kamenev, I. V., Oscillation of solutions of a second order differential equation with an “integrally small” coefficient, Differentsial’nye Uravneniya, 13, 2141-2148 (1977), (Russian) · Zbl 0411.34043 [14] Onose, H., Oscillation theorems for nonlinear second order differential equations, (Proc. Amer. Math. Soc., 26 (1970)), 461-464 · Zbl 0231.34031 [15] Onose, H., On oscillations of nonlinear second order equations, J. Math. Anal. Appl., 19, 122-124 (1972) · Zbl 0268.34042 [16] Waltman, P., Oscillations of solutions of a nonlinear equation, SIAM Rev., 5, 128-130 (1963) · Zbl 0137.28402 [17] Macki, J. W.; Wong, J. S.W, Oscillation of solutions to second order nonlinear differential equations, Pacific J. Math., 24, 111-117 (1968) · Zbl 0165.42402 [18] Wong, J. S.W, On second order nonlinear oscillation, Funkcial. Ekvac., 11, 207-234 (1968) · Zbl 0157.14802 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.