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Asymptotic decay of oscillatory solutions of second order differential equations with forcing term. (English) Zbl 0367.34021


MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
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[1] John R. Graef and Paul W. Spikes, Continuability, boundedness and asymptotic behavior of solutions of \?\(^{\prime}\)\(^{\prime}\)+\?(\?)\?(\?)=\?(\?), Ann. Mat. Pura Appl. (4) 101 (1974), 307 – 320. · Zbl 0296.34027
[2] John R. Graef and Paul W. Spikes, Asymptotic behavior of solutions of a second order nonlinear differential equation, J. Differential Equations 17 (1975), 461 – 476. · Zbl 0298.34028
[3] L. Hatvani, On the asymptotic behaviour of the solutions of (\?(\?)\?\(^{\prime}\))\(^{\prime}\)+\?(\?)\?(\?)=0, Publ. Math. Debrecen 19 (1972), 225 – 237 (1973). · Zbl 0271.34061
[4] J. W. Heidel, A nonoscillation theorem for a nonlinear second order differential equation, Proc. Amer. Math. Soc. 22 (1969), 485 – 488. · Zbl 0169.42203
[5] Bhagat Singh, Asymptotically vanishing oscillatory trajectories in second order retarded equations, SIAM J. Math. Anal. 7 (1976), no. 1, 37 – 44. · Zbl 0321.34058
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