# Necessary and sufficient conditions for finally vanishing oscillatory solutions in second order delay equations

Archivum Mathematicum (1989)

- Volume: 025, Issue: 3, page 137-148
- ISSN: 0044-8753

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topSingh, Bhagat. "Necessary and sufficient conditions for finally vanishing oscillatory solutions in second order delay equations." Archivum Mathematicum 025.3 (1989): 137-148. <http://eudml.org/doc/18269>.

@article{Singh1989,

author = {Singh, Bhagat},

journal = {Archivum Mathematicum},

keywords = {nonoscillatory solutions},

language = {eng},

number = {3},

pages = {137-148},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Necessary and sufficient conditions for finally vanishing oscillatory solutions in second order delay equations},

url = {http://eudml.org/doc/18269},

volume = {025},

year = {1989},

}

TY - JOUR

AU - Singh, Bhagat

TI - Necessary and sufficient conditions for finally vanishing oscillatory solutions in second order delay equations

JO - Archivum Mathematicum

PY - 1989

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 025

IS - 3

SP - 137

EP - 148

LA - eng

KW - nonoscillatory solutions

UR - http://eudml.org/doc/18269

ER -

## References

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- 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. Zbl0377.34023MR0454249
- J. R. Graef, P. W. Spikes (1977), Asymptotic properties of functional differential equations of arbitrary order, J. Math. Anal. Appl. 60, 339-348. Zbl0377.34022MR0454248
- M. E. Hammett (1971), Nonoscillation properties of a nonlinear differential equation, Pгoc. Amer. Math. Soc. 30, 92-96. Zbl0206.38101MR0279384
- S. O. Londen (1973), Some nonoscillation theorems for a second order nonlinear differential equation, SIAM J. Math. Anal., 4, 460-465. Zbl0258.34036MR0333342
- B. Singh (1973), Oscitlation and nonoscillation of even order nonlinear delay-differential equations, Qualt. Appl. Math., 31, 343-349. MR0435557
- B. Singh (1975), Asymptotic nature of nonoscillatory solutions of nth order retarded differential equations, SIAM J. Math. Anal. Appl. 6, 784-795. MR0430474
- B. Singh (1976), Asymptotically vanishing oscillatory trajectories in second order retarded equations, SIAM J. Math. Anal. 7, 37-44. Zbl0321.34058MR0425308
- B. Singh (1976), General functional differential equations and their asymptotic oscillatory behavior, Yokohama Math. J. 24, 125-132. Zbl0361.34062MR0425309
- B. Singh (1975), Impact of delays on oscillation in general functional equations, Hiroshima Math.J. 5, 351-361. Zbl0317.34059MR0422822
- B. Singћ (1976), Forced nonoscillations in fourth order functional equations, Funkcial. Ekvac. 19, 227-237. MR0435558
- C. C. Travis (1972), Oscillation theorems for second order differential equations, Pгoc. Amer. Math. Soc. 31, 199-201. MR0285789
- T. Wallgren (1976), Oscillation of solutions of the differential equation y" + p(x)y = f(x), SIAM J. Math. Anal. 7, 848-857. Zbl0339.34042MR0427747

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