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Kartsatos, A. G.

On the maintenance of oscillations of \(n\)-th order equations under the effect of a small forcing term. (English) Zbl 0211.11902

J. Differ. Equations 10, 355-363 (1971).
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Cited in 31 Documents

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
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References:

[1] Bhatia, N. P.: Some oscillation theorems for second order differential equations. J. math. Anal. appl. 15, 442-446 (1966) · Zbl 0144.11104
[2] Bobisud, L. E.: Oscillation of nonlinear second order equations. Proc. amer. Math. soc. 23, 501-505 (1969) · Zbl 0186.41903
[3] Bobisud, L. E.: Oscillation of nonlinear differential equations with small nonlinear damping. SIAM J. Appl. math. 18, 74-76 (1970) · Zbl 0193.05704
[4] Kartsatos, A. G.: On oscillations of nonlinear equations of second order. J. math. Anal. appl. 24, 665-667 (1968) · Zbl 0203.40003
[5] Kartsatos, A. G.: Properties of bounded solutions of nonlinear equations of second order. Proc. amer. Math. soc. 19, 1057-1059 (1968) · Zbl 0185.16603
[6] Kartsatos, A. G.: On oscillation of solutions of even order nonlinear differential equations. J. differential equations 6, 232-237 (1969) · Zbl 0193.05705
[7] Kartsatos, A. G.: Contributions to the research of the oscillation and the asymptotic behaviour of solutions of ordinary differential equations. Bull. soc. Math. grèce 10, 1-48 (1969) · Zbl 0202.09601
[8] Kiguradge, I. T.: A remark on the oscillation of solutions of the equation u” + \(a(t)\) |u |nsgnu = 0. Časopis pest. Mat. 92, 343-350 (1967)
[9] Legatos, G. G.; Kartsatos, A. G.: Further results on the oscillation of solutions of second order equations. Math. japon. 14, 67-73 (1968) · Zbl 0212.43101
[10] Ryder, G. H.; Wend, D. V. V: Oscillation of solutions of certain ordinary differential equations of n-th order. Proc. amer. Math. soc. 21, 463-469 (1970) · Zbl 0201.12102
[11] Švec, M.: Monotone solutions of some differential equations. Colloq. math. 18, 7-21 (1967) · Zbl 0153.11002
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