Geodesic
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 $n\geq 1$
Časopis pro pěstování matematiky, Tome 99 (1974) no. 2, pp. 131-141

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CPM.1974.117835
Classification : 34K99 
Marušiak, Pavol. Oscillation of solutions of the delay differential equation $y^{(2n)}(t)+\sum^m_{i=1}p_i(t)  f_j(y[h_i(t)])=0$,\quad $n\geq 1$. Časopis pro pěstování matematiky, Tome 99 (1974) no. 2, pp. 131-141. doi: 10.21136/CPM.1974.117835
@article{10_21136_CPM_1974_117835,
     author = {Maru\v{s}iak, Pavol},
     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 $n\geq 1$},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {131--141},
     year = {1974},
     volume = {99},
     number = {2},
     doi = {10.21136/CPM.1974.117835},
     mrnumber = {0404810},
     zbl = {0283.34063},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1974.117835/}
}
TY  - JOUR
AU  - Marušiak, Pavol
TI  - Oscillation of solutions of the delay differential equation $y^{(2n)}(t)+\sum^m_{i=1}p_i(t)  f_j(y[h_i(t)])=0$,\quad $n\geq 1$
JO  - Časopis pro pěstování matematiky
PY  - 1974
SP  - 131
EP  - 141
VL  - 99
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1974.117835/
DO  - 10.21136/CPM.1974.117835
LA  - en
ID  - 10_21136_CPM_1974_117835
ER  - 
%0 Journal Article
%A Marušiak, Pavol
%T 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 $n\geq 1$
%J Časopis pro pěstování matematiky
%D 1974
%P 131-141
%V 99
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1974.117835/
%R 10.21136/CPM.1974.117835
%G en
%F 10_21136_CPM_1974_117835

[1] Atkinson F. V.: On second-order non-linear oscillations. Pacific J. Math., 5 (1955), 643-647. | MR | Zbl

[2] Burkowski F.: Oscillation theorems for a second order nonlinear functional differential equation. J. Math. Anal. Appl. 33 (1971), 258-262. | MR | Zbl

[З] Gollwitzer H. E.: On nonlinear oscillations for a second order delay equation. J. Math. Anal. Appl. 26 (1969), З85-З89. | MR | Zbl

[4] Ladas G.: Oscillаtion аnd аsymptotic behаvior of solutions of differentiаl equаtions with retаrded аrgument. J. Differentiаl Equаtions 10 (1971), 281 - 290. | MR

[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

[6] Kuгypaдзe И. T: K вoпpocy кoлeблeмocти peшeний нeлинeйныx диффepeнциальныx ypавнeний. Дифф. Уpавнeния 8 (1965), 995-1006.

[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

[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

[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.

[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.

[11] Шeвeлo B. H. u Bapex H. B.: O нeкoтopыx cвoйстваx peшeний диффepeнциальныx ypавнeний c запаздываниeм. Укpаинcкий Mат. Жypнал, T 24 (1972), 807-813.

[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

[13] Waltman P.: A note on аn oscillаtion criterion for аn euqаtion with а functionаl аrgument. Cаnаd. Mаth. Bull. II (1968), 537-595.

Cité par Sources :