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On some properties of the solutions of the third order nonlinear differential equations with delay. (English) Zbl 0527.34062

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C99 Qualitative theory for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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References:

[1] GREGUŠ M.: Über die lineare homogene Differentialgleichung dritter Ordnung. Wissenschaftliche Zeitschrift der Martin-Luther-Universität Halle-Wittenberg Math. Nat., XII/3, März 1963, 265-286. · Zbl 0118.30501
[2] HANAN M.: Oscillation criteria for third-order linear differential equations. Pacific J. Math. 11, (1961), 919-944. · Zbl 0104.30901 · doi:10.2140/pjm.1961.11.919
[3] HEIDEL J. W.: Qualitative behavior of solutions of a third order nonlinear differential equation. Pacific J. Math. 27, 1968, 507-526. · Zbl 0172.11703 · doi:10.2140/pjm.1968.27.507
[4] KIKURADZE I.: Concerning the question of oscillatory solutions of nonlinear differential equations. Diff. Urav. 1 1965, 995-1006.
[5] LAZER A. C.: The behavior of solutions of the differential equation y”’+p(x)y’+q(x)y” = 0. Pac. J. Math. (3) 17, 1966, 435-466. · Zbl 0143.31501 · doi:10.2140/pjm.1966.17.435
[6] LIČKO I., ŠVEC M.: Le caractère oscillatoire des solutions de ľéquation y(n) + f(x)y = 0. Czechoslovak Math. J. 88, 1963, 481-491. · Zbl 0123.28202
[7] MIKUSINSKI J. G.: On Fite’s oscillation theorems. Colloquium Math. 2, 1949, 34-39. · Zbl 0039.31302
[8] ŠVEC M.: Einige asymptotische und oszillatorische Eigenschaften der Differentialgleichungen y”’ + A(x)y’ + B(x)y = 0. Czechoslovak Math. J. 15 1965, 378-393. · Zbl 0143.11202
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