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

Bhagat Singh

Archivum Mathematicum (1989)

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

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Singh, 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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  1. N. P. Bhatia (1966), Some oscillation theorems for second order differential equations, J. Math. Anal. Appl. 15, 442-446. MR0203164
  2. J. S. Bradley (1970), Oscillation theorems for a second order delay equation, J. Differential Equations, 8, 397-403. MR0268482
  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. MR0454249
  4. J. R. Graef, P. W. Spikes (1977), Asymptotic properties of functional differential equations of arbitrary order, J. Math. Anal. Appl. 60, 339-348. MR0454248
  5. M. E. Hammett (1971), Nonoscillation properties of a nonlinear differential equation, Pгoc. Amer. Math. Soc. 30, 92-96. MR0279384
  6. S. O. Londen (1973), Some nonoscillation theorems for a second order nonlinear differential equation, SIAM J. Math. Anal., 4, 460-465. MR0333342
  7. B. Singh (1973), Oscitlation and nonoscillation of even order nonlinear delay-differential equations, Qualt. Appl. Math., 31, 343-349. MR0435557
  8. B. Singh (1975), Asymptotic nature of nonoscillatory solutions of nth order retarded differential equations, SIAM J. Math. Anal. Appl. 6, 784-795. MR0430474
  9. B. Singh (1976), Asymptotically vanishing oscillatory trajectories in second order retarded equations, SIAM J. Math. Anal. 7, 37-44. MR0425308
  10. B. Singh (1976), General functional differential equations and their asymptotic oscillatory behavior, Yokohama Math. J. 24, 125-132. MR0425309
  11. B. Singh (1975), Impact of delays on oscillation in general functional equations, Hiroshima Math.J. 5, 351-361. MR0422822
  12. B. Singћ (1976), Forced nonoscillations in fourth order functional equations, Funkcial. Ekvac. 19, 227-237. MR0435558
  13. C. C. Travis (1972), Oscillation theorems for second order differential equations, Pгoc. Amer. Math. Soc. 31, 199-201. MR0285789
  14. T. Wallgren (1976), Oscillation of solutions of the differential equation y" + p(x)y = f(x), SIAM J. Math. Anal. 7, 848-857. MR0427747

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