Some Asymptotic Properties of Solutions of a Neutral Delay Equation With an Oscillatory Coefficient
Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 263-272

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The authors consider the nonlinear neutral delay differential equation and obtain results on the asymptotic behavior of solutions. Some of the results require that P(t) has arbitrarily large zeros or that P(t) oscillates about — 1
DOI : 10.4153/CMB-1993-038-4
Mots-clés : 34K40, 34K15, 34C11, 34C15
Graef, John R.; Spikes, Paul W. Some Asymptotic Properties of Solutions of a Neutral Delay Equation With an Oscillatory Coefficient. Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 263-272. doi: 10.4153/CMB-1993-038-4
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[1] 1. Graef, J. R., Grammatikopoulos, M. K., and Spikes, P. W., On the asymptotic behavior of solutions of a second order nonlinear neutral delay differential equation, J. Math. Anal. Appl. 156(1991), 23–39. Google Scholar

[2] 2. Graef, J. R., Grammatikopoulos, M. K., and Spikes, P. W., Asymptotic behavior of nonoscillatory solutions of neutral delay differential equations of arbitrary order, Nonlinear Anal., to appear. Google Scholar

[3] 3. Grammatikopoulos, M. K., Grove, E. A., and Ladas, G., Oscillation and asymptotic behavior of neutral differential equations with deviating arguments, Applicable Anal. 22(1986), 1–19. Google Scholar

[4] 4. Grammatikopoulos, M. K., Grove, E. A., and Ladas, G., Oscillation and asymptotic behavior of second order neutral differential equations with deviating arguments. In: Oscillation, Bifurcation and Chaos, (eds. Atkinson, F. V., Langford, W. F., and A. B. Mingarelli), Canadian Math. Soc. Conference Proceedings 8, Amer. Math. Soc, (1987), 153-161. Google Scholar

[5] 5. Grammatikopolos, M. K., Ladas, G., and Meimaridou, A., Oscillation and asymptotic behavior of higher order neutral equations with variable coefficients, Chinese Ann. Math. (B) 9(1988), 322–328. Google Scholar

[6] 6. Jaros, J. and Kusano, T., Asymptotic behavior of nonoscillatory solutions of nonlinear functional differential equations of neutral type, Funkcial. Ekvac. 32(1989), 251–263. Google Scholar

[7] 7. Jaros, J. and Kusano, T., Sufficient conditions for oscillations in higher order linear functional differential equations of neutral type, Japan. J. Math. 15(1989), 415–432. Google Scholar

[8] 8. Ladas, G. and Sficas, Y. G., Oscillations of higher-order neutral equations, J. Austral. Math. Soc. (B) 27(1986), 502–511. Google Scholar

[9] 9. Lalli, B. S., Sufficient conditions for oscillations of certain neutral delay differential equations. In: Differential Equations and Applications II, (ed. A. R. Aftabizadeh), Ohio U. Press, (1989), 93–100. Google Scholar

[10] 10. Lu, W., The asymptotic and oscillatory behavior of the solutions of higher order neutral equations, J. Math. Anal. Appl. 148(1990), 378–389. Google Scholar

[11] 11. Lu, W., Oscillations of higher order neutral differential equations with variable coefficients, Math. Appl. 3(1990), 36–43. Google Scholar

[12] 12. Lu, W., Oscillations of higher order neutral differential equations with oscillatory coefficient, Acta Math. Appl. Sinica 7(1991), 135–142. Google Scholar

[13] 13. Naito, Y., Nonoscillatory solutions of neutral differential equations, Hiroshima Math. J. 20( 1990), 231–258. Google Scholar

[14] 14. Xu, Y. T., Asymptotic behavior of nonoscillatory solutions of higher-order neutral equations, Ann. Diff. Eqs. 5(1989), 199–209. Google Scholar

[15] 15. Zahariev, A. I. and Bainov, D. D., On some oscillation criteria for a class of neutral type functional differential equations, J. Austral. Math. Soc. (B) 28(1986), 229–239. Google Scholar

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