| Title:
|
Oscillation of solutions of the delay differential equation $y^{(2n)}(t)+\sum^m_{i=1}p_i(t) f_j(y[h_i(t)])=0$,\quad $n\geq 1$ (English) |
| Author:
|
Marušiak, Pavol |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
99 |
| Issue:
|
2 |
| Year:
|
1974 |
| Pages:
|
131-141 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K99 |
| idZBL:
|
Zbl 0283.34063 |
| idMR:
|
MR0404810 |
| DOI:
|
10.21136/CPM.1974.117835 |
| . |
| Date available:
|
2009-09-23T08:32:54Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117835 |
| . |
| Reference:
|
[1] Atkinson F. V.: On second-order non-linear oscillations.Pacific J. Math., 5 (1955), 643-647. Zbl 0065.32001, MR 0072316 |
| Reference:
|
[2] Burkowski F.: Oscillation theorems for a second order nonlinear functional differential equation.J. Math. Anal. Appl. 33 (1971), 258-262. Zbl 0184.12601, MR 0269946 |
| Reference:
|
[З] Gollwitzer H. E.: On nonlinear oscillations for a second order delay equation.J. Math. Anal. Appl. 26 (1969), З85-З89. Zbl 0169.11401, MR 0239224 |
| Reference:
|
[4] Ladas G.: Oscillаtion аnd аsymptotic behаvior of solutions of differentiаl equаtions with retаrded аrgument.J. Differentiаl Equаtions 10 (1971), 281 - 290. MR 0291590 |
| Reference:
|
[5] Kuгypaдзe И. Г.: O кoлeблeмocти peшeний ypавнeния $d^m u/dt^m + a(t)|u|^n \sgn u = 0$.Mат. Cбopник T. 65 (107) $\text{N}_2$ (1964), 172-187. MR 0173060 |
| Reference:
|
[6] Kuгypaдзe И. T: K вoпpocy кoлeблeмocти peшeний нeлинeйныx диффepeнциальныx ypавнeний.Дифф. Уpавнeния 8 (1965), 995-1006. |
| Reference:
|
[7] Kusano T. аnd Onose H.: Oscilаtion of solutions of nonlineаr differentiаl delаy equаtions of аrbitrаry order.Hiroshimа Mаth.J. 2 (1972), 1 -13. MR 0324175 |
| Reference:
|
[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 $\text{N}_x$ (1973), 150-156. MR 0355266 |
| Reference:
|
[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. |
| Reference:
|
[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. |
| Reference:
|
[11] Шeвeлo B. H. u Bapex H. B.: O нeкoтopыx cвoйстваx peшeний диффepeнциальныx ypавнeний c запаздываниeм.Укpаинcкий Mат. Жypнал, T 24 (1972), 807-813. |
| Reference:
|
[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. MR 0330707 |
| Reference:
|
[13] Waltman P.: A note on аn oscillаtion criterion for аn euqаtion with а functionаl аrgument.Cаnаd. Mаth. Bull. II (1968), 537-595. |
| . |
