Oscillation of solutions of the delay differential equation y ( 2 n ) ( t ) + ∑ i = 1 m p i ( t ) f j ( y [ h i ( t ) ] ) = 0 ,    n ≥ 1

Pavol Marušiak

Časopis pro pěstování matematiky (1974)

  • Volume: 099, Issue: 2, page 131-141
  • ISSN: 0528-2195

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Marušiak, Pavol. "Oscillation of solutions of the delay differential equation $y^{(2n)}(t)+\sum ^m_{i=1}p_i(t) f_j(y[h_i(t)])=0$,   $n\ge 1$." Časopis pro pěstování matematiky 099.2 (1974): 131-141. <http://eudml.org/doc/21201>.

@article{Marušiak1974,
author = {Marušiak, Pavol},
journal = {Časopis pro pěstování matematiky},
language = {eng},
number = {2},
pages = {131-141},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Oscillation of solutions of the delay differential equation $y^\{(2n)\}(t)+\sum ^m_\{i=1\}p_i(t) f_j(y[h_i(t)])=0$,   $n\ge 1$},
url = {http://eudml.org/doc/21201},
volume = {099},
year = {1974},
}

TY - JOUR
AU - Marušiak, Pavol
TI - Oscillation of solutions of the delay differential equation $y^{(2n)}(t)+\sum ^m_{i=1}p_i(t) f_j(y[h_i(t)])=0$,   $n\ge 1$
JO - Časopis pro pěstování matematiky
PY - 1974
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 099
IS - 2
SP - 131
EP - 141
LA - eng
UR - http://eudml.org/doc/21201
ER -

References

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  1. Atkinson F. V., On second-order non-linear oscillations, Pacific J. Math., 5 (1955), 643-647. (1955) Zbl0065.32001MR0072316
  2. Burkowski F., Oscillation theorems for a second order nonlinear functional differential equation, J. Math. Anal. Appl. 33 (1971), 258-262. (1971) Zbl0184.12601MR0269946
  3. Gollwitzer H. E., On nonlinear oscillations for a second order delay equation, J. Math. Anal. Appl. 26 (1969), З85-З89. (1969) Zbl0169.11401MR0239224
  4. Ladas G., Oscillаtion аnd аsymptotic behаvior of solutions of differentiаl equаtions with retаrded аrgument, J. Differentiаl Equаtions 10 (1971), 281 - 290. (1971) MR0291590
  5. Kuгypaдзe И. Г., O кoлeблeмocти peшeний ypавнeния d m u / d t m + a ( t ) | u | n sgn u = 0 , Mат. Cбopник T. 65 (107) (1964), 172-187. (1964) MR0173060
  6. Kuгypaдзe И. T, K вoпpocy кoлeблeмocти peшeний нeлинeйныx диффepeнциальныx ypавнeний, Дифф. Уpавнeния 8 (1965), 995-1006. (1965) 
  7. Kusano T. аnd Onose H., Oscilаtion of solutions of nonlineаr differentiаl delаy equаtions of аrbitrаry order, Hiroshimа Mаth.J. 2 (1972), 1 -13. (1972) MR0324175
  8. Marusiak P., Note on the Lаdаs' pаper on oscillаtion аnd аsymptotic behаvior of solutions of differentiаl equаtions with retаrded аrgument, J. Differentiаl Equаtions, 13 (1973), 150-156. (1973) MR0355266
  9. Oдapuч O.H.и Шeвeлo B. H., Oб ocциллятopныx cвoйcтваx peшeний нeлинeйныx диффepeнциальныx ypавнeний втopoгo пopядка c запаздывающим аpгyмeнтoм, Mат. физика, вып. 4 „Hаyкoва дyммка" K. 1968. (1968) 
  10. Шeвeлo B. H, Oдapuч O. H, Heкoтopыe вoпpocы тeopии ocцилляции (нeocцилляции) peшeний диффepeнциальныx ypавнeний втopoгo пopядка c запаздывающим аpгyмeҥгoм, Укpаинcкий Mат. Жypнал T 23 (1971) JSs 4. (1971) 
  11. Шeвeлo B. H. u Bapex H. B., O нeкoтopыx cвoйстваx peшeний диффepeнциальныx ypавнeний c запаздываниeм, Укpаинcкий Mат. Жypнал, T 24 (1972), 807-813. (1972) 
  12. Staikos V. A. аnd Sficas Y. G., Oscillаtory аnd аsymptotic behаvior of functionаl differentiаl equаtions, J. Differentiаl Equаtions 12 No. 3 (1972), 426-437. (1972) MR0330707
  13. Waltman P., A note on аn oscillаtion criterion for аn euqаtion with а functionаl аrgument, Cаnаd. Mаth. Bull. II (1968), 537-595. (1968) 

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