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Ohriska, Jan

The influence of argument delay on oscillatory properties of a second- order differential equation. (English) Zbl 0429.34062

Math. Slovaca 28, 41-56 (1978).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

second-order differential equation; differential equations with delay
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\textit{J. Ohriska}, Math. Slovaca 28, 41--56 (1978; Zbl 0429.34062)
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References:

[1] ATKINSON F. V.: On second-order non-linear oscillations. Pacific J. Math., 5, 1955, 643-647. · Zbl 0065.32001 · doi:10.2140/pjm.1955.5.643
[2] ЭЛЬСГОЛЬС Л Э., НОРКИН С. Б.: Введение в теорию дифференциальных уравнений с отклоняющимся аргументом. Изд. Наука, Москва 1971. · Zbl 1236.82017 · doi:10.1103/PhysRevB.4.3174
[3] GOLLWITZER H. E.: On nonlinear oscillations for a second order delay equation. J. Math. Anal. Appl., 26, 1969, 385-389. · Zbl 0169.11401 · doi:10.1016/0022-247X(69)90161-9
[4] LIČKO I., ŠVEC M.: Le caractère oscillatoire des solutions de ľéquation y(n) + f(x)y” =0, n > 1. Czech. Math. J., 13, 1963, 481-491. · Zbl 0123.28202
[5] ОДАРИЧ О.Н., ШЄВЄЛО В. Н.: Об осцилляторных свойствах рєшєний нєлинєйных дифф. урав. второго порядка с запаздывающим аргумєнтом. Матємат. физика, No 4, Києв 1968.
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