Quickly, moderately and slowly oscillatory solutions of a second order functional differential equation

D. C. Angelova

Archivum Mathematicum (1985)

  • Volume: 021, Issue: 3, page 135-146
  • ISSN: 0044-8753

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Angelova, D. C.. "Quickly, moderately and slowly oscillatory solutions of a second order functional differential equation." Archivum Mathematicum 021.3 (1985): 135-146. <http://eudml.org/doc/18163>.

@article{Angelova1985,
author = {Angelova, D. C.},
journal = {Archivum Mathematicum},
keywords = {autonomous retarded systems; oscillatory solutions},
language = {eng},
number = {3},
pages = {135-146},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Quickly, moderately and slowly oscillatory solutions of a second order functional differential equation},
url = {http://eudml.org/doc/18163},
volume = {021},
year = {1985},
}

TY - JOUR
AU - Angelova, D. C.
TI - Quickly, moderately and slowly oscillatory solutions of a second order functional differential equation
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 3
SP - 135
EP - 146
LA - eng
KW - autonomous retarded systems; oscillatory solutions
UR - http://eudml.org/doc/18163
ER -

References

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  1. S. Bernfeld, A. Lasota, Quickly oscillating solutions of autonomous ordinary differential equations, Proc Amer. Math. Soc., 30 (1971), 519-526. (1971) Zbl0229.34033MR0285764
  2. J. Kaplan, Quickly oscillating solutions of autonomous differential-delay equations, Funkcialaj Ekvacioj, 16 (1973), 181-188. (1973) Zbl0297.34069MR0355264
  3. T. Kusano, H. Onose, Asymptotic decay of oscillatory solutions of second order differential equations with forcing term, Proc. Amer. Math. Soc., 66 (1977), 251-257. (1977) Zbl0367.34021MR0457901
  4. A. Lasota, On convergence to zero of oscillating integrals of an ordinary differential equation of the second order, Zeszyty Nauk. Univ. Jagiello. Prace Mat., 6 (1961), 27-33. (1961) MR0214855
  5. A. Lasota, J. Yoгke, Oscillatory solutions of second order ordinary differential equations, Ann. Polon. Math., 25 (1971), 175-178. (1971) MR0304771
  6. M. Luczynski, On the convergence to zero of oscillating solutions of an ordinary differential equation of order n, Zeszyty Nauk. Univ. Jagiello. Prace Mat., 7 (1962), 17-20. (1962) Zbl0262.34030MR0196187
  7. Ch. Philos, V. Staikos, Quick oscillations with damping, Teсhniсal Report, Univ. Ioanina, 94 (1977), 1-12. (1977) Zbl0439.34057MR0435559
  8. Ch. Philos, V. Staikos, Non-slow oscillations with damping, Technical Report, Univ. Ioanina, 92 (1977), 1-14. (1977) Zbl0453.34032
  9. B. Singh, Comparative study of asymptotic nonoscillation and quick oscillation of second order linear differential equations, J. Math. Phys. Sci., 8, N4 (1974), 363-376. (1974) Zbl0298.34033MR0430419
  10. B. Singh, Asymptotically vanishing oscillatory trajectories in second order retarded equations, SIAM J. Math. Anal., 7 (1976), 37-44. (1976) Zbl0321.34058MR0425308
  11. B. Singh, General functional differential equations and their asymptotic oscillatory behaviour, The Yokohama Math. J., 24 (1976), 125-132. (1976) Zbl0361.34062MR0425309
  12. B. Singh, Forced nonoscillations in second order functional equations, Hiroshima Math. J., 7 (1977), 657-665. (1977) Zbl0411.34042MR0499608
  13. B. Singh, On slow oscillation and nonoscillation in retarded equations, Internat. J. Math. and Math. Sci., 2 (1979), 523-530. (1979) Zbl0412.34018MR0542965

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