Some results on the oscillatory and asymptotic behavior of the solutions of differential equations with deviating arguments

Christos G. Philos

Archivum Mathematicum (1979)

  • Volume: 015, Issue: 1, page 19-36
  • ISSN: 0044-8753

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Philos, Christos G.. "Some results on the oscillatory and asymptotic behavior of the solutions of differential equations with deviating arguments." Archivum Mathematicum 015.1 (1979): 19-36. <http://eudml.org/doc/17990>.

@article{Philos1979,
author = {Philos, Christos G.},
journal = {Archivum Mathematicum},
keywords = {oscillation; asymptotic behavior; differential equations with deviating arguments},
language = {eng},
number = {1},
pages = {19-36},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some results on the oscillatory and asymptotic behavior of the solutions of differential equations with deviating arguments},
url = {http://eudml.org/doc/17990},
volume = {015},
year = {1979},
}

TY - JOUR
AU - Philos, Christos G.
TI - Some results on the oscillatory and asymptotic behavior of the solutions of differential equations with deviating arguments
JO - Archivum Mathematicum
PY - 1979
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 015
IS - 1
SP - 19
EP - 36
LA - eng
KW - oscillation; asymptotic behavior; differential equations with deviating arguments
UR - http://eudml.org/doc/17990
ER -

References

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  1. M. K. Grammatikopoulos Y. G. Sficas, V. A. Staikos, Oscillatory properties of strongly superlinear differential equations with deviating arguments, J. Math. Anal. Appl. 67 (1979), 171-187. (1979) Zbl0405.34062MR0524471
  2. A. G. Kartsatos, Oscillation properties of solutions of even order differential equations, Bull. Fac. Sci., Ibaraki Univ., Math., 2 (1969), 9-14. (1969) Zbl0225.34021MR0254327
  3. I. T. Kiguradze, On the oscillation of solutions of the equation d m u d t m + a ( t ) u n sgn u = 0 , (Russian), Mat. Sb. 65 (1964), 172-187. (1964) MR0173060
  4. I. T. Kiguradze, The problem of oscillation of solutions of nonlinear differential equations, (Russian), Differenciaľnye Uravnenija 1 (1965), 995-1006. (1965) Zbl0155.41802MR0194689
  5. T. Kusano, H. Onose, Asymptotic behavior of nonoscillatory solutions of functional equations of arbitrary order, J. London Math. Soc. 14 (1976), 106-112. (1976) Zbl0378.34056MR0422818
  6. T. Kusano, H. Onose, Nonoscillation theorems for differential equations with deviating argument, Pacific J. Math. 63 (1976), 185-192. (1976) Zbl0342.34058MR0417536
  7. D. L. Lovelady, Oscillation and even order linear differential equations, Rocky Mountain J. Math. 6 (1976), 299-304. (1976) Zbl0335.34019MR0390370
  8. Ch. G. Philos, Oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments, Hiroshima Math. J. 8 (1978), 31-48. (1978) Zbl0378.34055MR0481368
  9. Ch. G. Philos, An oscillatory and asymptotic classification of the solutions of differential equations with deviating arguments, Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur., 63 (1977), 195-203. (1977) MR0526121
  10. Ch. G. Philos, Oscillatory and asymptotic behavior of all solutions of differential equations with deviating arguments, Proc. Roy. Soc. Edinburgh Sect. A 81 (1978), 195-210. (1978) Zbl0417.34108MR0516413
  11. Ch. G. Philos, On the oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments, Ann. Mat. Pura Appl., in press. Zbl0414.34075
  12. Ch. G. Philos Y. G. Sficas, V. A. Staikos, Some results on the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments, to appear. Zbl0499.34053MR0652407
  13. Ch. G. Philos, V. A. Staikos, Non-slow oscillations with damping, University of Ioannina, Technical Report No 92, March 1977. (1977) Zbl0453.34032
  14. Ch. G. Philos, V. A. Staikos, Quick oscillations with damping, Math. Nachr., to appear. Zbl0439.34057MR0563581
  15. Y. G. Sficas, Retarded actions on oscillations, Bull. Soc. Math. Grèce 17 (1976), 1-10. (1976) Zbl0383.34024MR0492733
  16. Y. G. Sficas, The effect of the delay on the oscillatory and asymptotic behavior of n-th order retarded differential equations, J. Math. Anal. Appl. 49 (1975), 748-757. (1975) Zbl0299.34100MR0364818
  17. Y. G. Sficas, I. P. Stavroulakis, On the oscillatory and asymptotic behavior of a class of differential equations with debating arguments, SIAM J. Math. Anal., 9 (1978), 956-966. (1978) Zbl0387.34028MR0508836
  18. V. A. Staikos, Ch. G. Philos, On the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments, Hiroshima Math. J. 7 (1977), 9-31. (1977) Zbl0354.34076MR0435559
  19. V. A. Staikos, Ch. G. Philos, Asymptotic properties of nonoscillatory solutions of differential equations with deviating argument, Pacific J. Math., 70 (1977), 221-242. (1977) Zbl0377.34038MR0466876
  20. V. A. Staikos, Ch. G. Philos, Nonoscillatory phenomena and damped oscillations, Nonlinear Analysis, Theory, Methods and Applications, 2 (1977), 197-210. (1977) MR0512283
  21. I. P. Stavroulakis, Differential Equations with Deviating Arguments-Contribution to the study of oscillatory and asymptotic properties of the solutions, (Greek), Ph. D. Thesis, University of Ioannina, 1976. (1976) Zbl0369.34032

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