Kulenovic, M. R.; Grammatikopoulos, M. K. On the asymptotic behavior of second order differential inequalities with alternating coefficients. (English) Zbl 0471.34025 Math. Nachr. 98, 317-327 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MSC: 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations 34A40 Differential inequalities involving functions of a single real variable 34E05 Asymptotic expansions of solutions to ordinary differential equations Keywords:oscillation; asymptotic behaviour; integral conditions; semilinear Schrödinger differential equation; comparison method PDF BibTeX XML Cite \textit{M. R. Kulenovic} and \textit{M. K. Grammatikopoulos}, Math. Nachr. 98, 317--327 (1980; Zbl 0471.34025) Full Text: DOI References: [1] Bobisud, Amer. Math. Soc. 23 pp 501– (1969) [2] Coles, Amer. Math. Soc. 19 pp 755– (1968) [3] A nonlinear oscillation theorem, Int. Conf. on differential equations (Proc. Univ. Southern Cal., Los Ang., 1974), 193–202, Academic Press, N. York 1975. [4] Stability and asymptotic behavior of differential equations, Health, Boston 1965. [5] Oscillation theorems for second order ordinary differential inequalities and equations with alternating coefficients, An. Ştiint. Univ. ”Al. 1. Cuza” laşi Secţ. I a Mat. 26, 67–76 (1980). [6] On the oscillations of solutions of a nonlinear second order equations with coefficient of variable sign, Differencial nye Uravnenija 6, 1718–1721 (1970) (Russian). [7] Kartsatos, Amer. Math. Soc. 19 pp 1057– (1968) [8] Kartsatos, Fac. Sci. Ibaraki Univ., Math. 5 pp 23– (1973) · Zbl 0277.34038 [9] Kiguradze, Pest. Mat. 92 pp 343– (1967) [10] Komkov, Ann. Pol. Math. 2 pp 125– (1974) [11] Komkov, J. Appl. Math. 22 pp 561– (1972) [12] On the oscillation of second order differential inequalities, (to appear). [13] Kusano, Hiroshima Math. J. 4 pp 491– (1974) [14] Legatos, Math. Japon. 14 pp 67– (1968) [15] Mahfoud, SIAM J. Math. Anal. 10 pp 49– (1979) [16] and , Oscillazione e comportamento asintotico per equazioni differenziali non lineari del secondo ordine, Comunicazioni del Convegno Equadiff 78, Firenze 1978, 485–495 [17] Onose, Amer. Math. Soc. 26 pp 461– (1970) [18] Staikos, Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 55 pp 25– (1973) [19] Comparison and oscillation theory of linear differential equations, Academic Press, New York 1968. [20] Travis, Math. Japon. 18 pp 261– (1973) [21] Willet, Advances in Math. 3 pp 594– (1969) 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.