Decaying trajectories in sublinear retarded equations of arbitrary order

Bhagat Singh

Archivum Mathematicum (1985)

  • Volume: 021, Issue: 4, page 219-228
  • ISSN: 0044-8753

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Singh, Bhagat. "Decaying trajectories in sublinear retarded equations of arbitrary order." Archivum Mathematicum 021.4 (1985): 219-228. <http://eudml.org/doc/18173>.

@article{Singh1985,
author = {Singh, Bhagat},
journal = {Archivum Mathematicum},
keywords = {nth order differential equation; retarded sublinear equation},
language = {eng},
number = {4},
pages = {219-228},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Decaying trajectories in sublinear retarded equations of arbitrary order},
url = {http://eudml.org/doc/18173},
volume = {021},
year = {1985},
}

TY - JOUR
AU - Singh, Bhagat
TI - Decaying trajectories in sublinear retarded equations of arbitrary order
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 4
SP - 219
EP - 228
LA - eng
KW - nth order differential equation; retarded sublinear equation
UR - http://eudml.org/doc/18173
ER -

References

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  1. I. Bihaгi, A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar., 7 (1956), 81-94. (1956) MR0079154
  2. T. Kusano, H. Onose, Asymptotic decay of oscillatory solutions of second order differential equations with forcing term, Proc. Ameг. Math. Soc., 66 (1977), 251-257. (1977) Zbl0367.34021MR0457901
  3. H. Onose, Oscillatory properties of ordinary differential equations of arbitrary order, J. Diffeгential Equations, 7 (1970), 454-458. (1970) MR0257465
  4. Ch. G. Philos, Oscillatory and asymptotic behavior of all solutions of differential equations with deviating arguments, Proc. Royal Soc. Edinbuгgh, 81 (1978), 195-210. (1978) MR0516413
  5. B. Singh, Asymptotically vanishing oscillatory trajectories in second order retarded equations, SIAM J. Math. Anal., 7 (1976), 37-44. (1976) Zbl0321.34058MR0425308
  6. B. Singh, A correction to "Forced oscillations in general ordinary differential equations with deviating arguments", Hiroshima Math. J., 9 (1979), 297-302. (1979) Zbl0409.34070MR0529336
  7. B. Singh, Slowly oscillating and nonoscillating trajectories in second order retarded sublinear equations, Math. Japon., 24 (1980), 617-623. (1980) Zbl0429.34063MR0565547
  8. B. Singh, A necessary and sufficient condition for the oscillation of an even order nonlinear delay differential equation, Canad. J. Math., 25 (1973), 1078-1089. (1973) Zbl0273.34047MR0330706
  9. B. Singh, T. Kusano, On asymptotic limits of nonoscillations in functional equations with retarded arguments, Hiroshima Math., J., 10 (1980), 557-565. (1980) Zbl0447.34067MR0594135
  10. V. A. Staikos, Ch. G. Philos, Nonoscillatory phenomena and damped oscillations, Nonlinear Anal., 2 (1978), 197-210. (1978) MR0512283
  11. V. N. Shevelov, Oscillation Theory in Differential Equations with Deviating Arguments, Academy of Sciences of Ukrainian SSR (1978). (1978) 

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