Singh, Bhagat; Kusano, Takasi Asymptotic behavior of oscillatory solutions of a differential equation with deviating arguments. (English) Zbl 0472.34044 J. Math. Anal. Appl. 83, 395-407 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 Documents MSC: 34K25 Asymptotic theory of functional-differential equations 34E05 Asymptotic expansions of solutions to ordinary differential equations 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) Keywords:noncanonical forms of Ln; canonical forms of Ln PDFBibTeX XMLCite \textit{B. Singh} and \textit{T. Kusano}, J. Math. Anal. Appl. 83, 395--407 (1981; Zbl 0472.34044) Full Text: DOI References: [1] Bihari, I., A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar., 7, 81-94 (1956) · Zbl 0070.08201 [2] Kusano, T.; Onose, H., Asymptotic decay of oscillatory solutions of second order differential equations with forcing term, (Proc. Amer. Math. Soc., 66 (1977)), 251-257 · Zbl 0367.34021 [3] Singh, B., Asymptotically vanishing oscillatory trajectories in second order retarded equations, SIAM J. Math. Anal., 7, 37-44 (1976) · Zbl 0321.34058 [4] Singh, B., A correction to “Forced oscillations in general ordinary differential equations with deviating arguments,”, Hiroshima Math. J., 9, 297-302 (1979) · Zbl 0409.34070 [6] Singh, B., Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays, Internat. J. Math. Math. Sci., 1, 269-283 (1978) · Zbl 0389.34048 [8] Staikos, V. A.; Philos, Ch. G., Nonoscillatory phenomena and damped oscillations, Nonlinear Anal., 2, 197-210 (1978) · Zbl 0378.34057 [9] Trench, W. F., Canonical forms and principal systems in general disconjugate equations, Trans. Amer. Math. Soc., 189, 319-327 (1974) · Zbl 0289.34051 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.