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Erbe, L.

Oscillation, nonoscillation, and asymptotic behavior for third order nonlinear differential equations. (English) Zbl 0345.34023

Ann. Mat. Pura Appl., IV. Ser. 110, 373-391 (1976).
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Cited in 23 Documents

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
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References:

[1] Barrett, J. H., Oscillation theory of ordinary linear differential equations, Advances in Math., 3, 415-509 (1969) · Zbl 0213.10801 · doi:10.1016/0001-8708(69)90008-5
[2] Elias, J., Properties of the nonoscillatory solution for a third order nonlinear differentia equation, Mat. casp., 20, 249-253 (1970) · Zbl 0213.36602
[3] Erbe, L., Boundary value problems for ordinary differential equations, Rocky Mountain Journal of Mathematics, 1, 709-729 (1971) · Zbl 0242.34022 · doi:10.1216/RMJ-1971-1-4-709
[4] Erbe, L., Disconjugacy conditions for the third order linear differenetial equation, Canad. Math. Bull., 12, 603-613 (1969) · Zbl 0186.14402
[5] L. Erbe,Oscillation and asymptotic behavior for a class of third order linear differential equations, Pacific J. Math., to appear. · Zbl 0339.34030
[6] Ergen, G. J.; Shih, C. D., On the oscillation of certain third order linear differential equations, Proc. Amer. Math. Soc., 41, 151-155 (1973) · Zbl 0309.34021 · doi:10.2307/2038831
[7] Hanan, M., Oscillation criteria for third order linear differential equations, Pacific J. Math., 11, 919-944 (1961) · Zbl 0104.30901
[8] Hartman, P., Ordinary Differential Equations (1964), New York: Wiley, New York · Zbl 0125.32102
[9] Heidel, J. W., Qualitative behaviour of solutions of a third order nonlinear differential equation, Pacific J. Math., 27, 507-526 (1968) · Zbl 0172.11703
[10] Jackson, L. K.; Schrader, K. W., Comparison theorems for nonlinear differential equations, J. Diff. Eqns., 3, 248-255 (1967) · Zbl 0149.29701 · doi:10.1016/0022-0396(67)90029-0
[11] Jackson, L. K., Subfunctions and second order ordinary differential inequalities, Advances in Math., 2, 307-363 (1968) · Zbl 0197.06401 · doi:10.1016/0001-8708(68)90022-4
[12] Kamke, E., Zur Theorie der Systeme gewöhnlicher Differentialgleichungen, II, Acta Math., 58, 57-85 (1932) · JFM 58.0449.02
[13] Kim, W. J., Oscillatory properties of linear third order differential equations, Proc. Amer. Math. Soc., 26, 286-293 (1970) · Zbl 0206.09601 · doi:10.2307/2036391
[14] Lazer, A. C., The behavior of solutions of the differential equation y^m + p(x)y’ + q(x)y = 0, Pacific J. Math., 17, 435-466 (1966) · Zbl 0143.31501
[15] Nelson, J. L., A stability theorem for a third order nonlinear differential equation, Pacific J. Math., 24, 341-344 (1968) · Zbl 0155.13901
[16] Soltes, P., A remark on the oscillatoriness of solutions of a non-linear third order equation, Mat. casop., 23, 326-332 (1973) · Zbl 0297.34029
[17] Svec, M., Einige asymptotische und oszillatorische Eigenschaften der Differentialgleichungen y^m + A(x)y’ + B(x)y = 0, Czechoslovak Math. J., 15, 378-393 (1965) · Zbl 0143.11202
[18] Swanson, C. A., Comparison and oscillation theory of linear differential equations (1968), New York: Academic Press, New York · Zbl 0191.09904
[19] Waltman, P., Oscillation criteria for third order nonlinear differential equations, Pacific J. Math., 18, 385-389 (1966) · Zbl 0144.11403
[20] Wong, J. S. S., On second order nonlinear oscillation, Funkcialaj Ekvacioij, 11, 207-234 (1968) · Zbl 0184.12202
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