Kitamura, Yuichi; Kusano, Takasi Oscillation of first-order nonlinear differential equations with deviating arguments. (English) Zbl 0433.34051 Proc. Am. Math. Soc. 78, 64-68 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 42 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems Keywords:oscillatory behavior of solutions; first-order nonlinear functional differential equations PDFBibTeX XMLCite \textit{Y. Kitamura} and \textit{T. Kusano}, Proc. Am. Math. Soc. 78, 64--68 (1980; Zbl 0433.34051) Full Text: DOI References: [1] Clifford H. Anderson, Asymptotic oscillation results for solutions to first-order nonlinear differential-difference equations of advanced type, J. Math. Anal. Appl. 24 (1968), 430 – 439. · Zbl 0191.10703 · doi:10.1016/0022-247X(68)90041-3 [2] R. G. Koplatadze, The oscillating solutions of nonlinear first order differential equations with retarded argument, Sakharth. SSR Mecn. Akad. Moambe 70 (1973), 17 – 20 (Russian, with Georgian and English summaries). · Zbl 0261.34045 [3] G. Ladas, Sharp conditions for oscillations caused by delays, Tech. Rep. Univ. Rhode Island, No. 64, 1976. · Zbl 0407.34055 [4] G. Ladas, V. Lakshmikantham, and J. S. Papadakis, Oscillations of higher-order retarded differential equations generated by the retarded argument, Delay and functional differential equations and their applications (Proc. Conf., Park City, Utah, 1972) Academic Press, New York, 1972, pp. 219 – 231. · Zbl 0273.34052 [5] James C. Lillo, Oscillatory solutions of the equation \?\(^{\prime}\)(\?)=\?(\?)\?(\?-\?(\?)), J. Differential Equations 6 (1969), 1 – 35. · Zbl 0174.39804 · doi:10.1016/0022-0396(69)90114-4 [6] Ch. G. Philos, Oscillations caused by delays, An. Ştiinţ. Univ. ”Al. I. Cuza” Iaşi Secţ. I a Mat. (N.S.) 24 (1978), no. 1, 71 – 76. · Zbl 0398.34064 [7] A. N. Šarkovskii and V. V. Ševelo, On oscillations generated by retardations, Mechanics, Third Congress, Varna, 1977, pp. 49-52. (Russian) [8] Y. G. Sficas and V. A. Staïkos, The effect of retarded actions on nonlinear oscillations, Proc. Amer. Math. Soc. 46 (1974), 259 – 264. · Zbl 0263.34075 [9] Warren E. Shreve, Oscillation in first order nonlinear retarded argument differential equations, Proc. Amer. Math. Soc. 41 (1973), 565 – 568. · Zbl 0254.34075 [10] Alexander Tomaras, Oscillations of an equation relevant to an industrial problem, Bull. Austral. Math. Soc. 12 (1975), no. 3, 425 – 431. · Zbl 0299.34101 · doi:10.1017/S0004972700024084 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.