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Title: Necessary and sufficient conditions for finally vanishing oscillatory solutions in second order delay equations (English)
Author: Singh, Bhagat
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 25
Issue: 2
Year: 1989
Pages: 137-148
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Category: math
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MSC: 34C10
MSC: 34K25
MSC: 34K99
idZBL: Zbl 0702.34061
idMR: MR1188059
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Date available: 2008-06-06T06:20:22Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107351
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Reference: [1] N. P. Bhatia (1966): Some oscillation theorems for second order differential equations.J. Math. Anal. Appl. 15, 442-446. MR 0203164
Reference: [2] J. S. Bradley (1970): Oscillation theorems for a second order delay equation.J. Differential Equations, 8, 397-403. MR 0268482
Reference: [3] J. R. Graef (1977): Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order.J. Math. Anal. Appl. 60, 398-409. MR 0454249
Reference: [4] J. R. Graef, P. W. Spikes (1977): Asymptotic properties of functional differential equations of arbitrary order.J. Math. Anal. Appl. 60, 339-348. MR 0454248
Reference: [5] M. E. Hammett (1971): Nonoscillation properties of a nonlinear differential equation.Pгoc. Amer. Math. Soc. 30, 92-96. MR 0279384
Reference: [6] S. O. Londen (1973): Some nonoscillation theorems for a second order nonlinear differential equation.SIAM J. Math. Anal., 4, 460-465. MR 0333342
Reference: [7] B. Singh (1973): Oscitlation and nonoscillation of even order nonlinear delay-differential equations.Qualt. Appl. Math., 31, 343-349. MR 0435557
Reference: [8] B. Singh (1975): Asymptotic nature of nonoscillatory solutions of nth order retarded differential equations.SIAM J. Math. Anal. Appl. 6, 784-795. MR 0430474
Reference: [9] B. Singh (1976): Asymptotically vanishing oscillatory trajectories in second order retarded equations.SIAM J. Math. Anal. 7, 37-44. MR 0425308
Reference: [10] B. Singh (1976): General functional differential equations and their asymptotic oscillatory behavior.Yokohama Math. J. 24, 125-132. MR 0425309
Reference: [11] B. Singh (1975): Impact of delays on oscillation in general functional equations.Hiroshima Math.J. 5, 351-361. MR 0422822
Reference: [12] B. Singћ (1976): Forced nonoscillations in fourth order functional equations.Funkcial. Ekvac. 19, 227-237. MR 0435558
Reference: [13] C. C. Travis (1972): Oscillation theorems for second order differential equations.Pгoc. Amer. Math. Soc. 31, 199-201. MR 0285789
Reference: [14] T. Wallgren (1976): Oscillation of solutions of the differential equation y" + p(x)y = f(x).SIAM J. Math. Anal. 7, 848-857. MR 0427747
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