Geodesic
Growth estimates for non-oscillatory solutions of a non-linear differential equation
Časopis pro pěstování matematiky, Tome 96 (1971) no. 2, pp. 119-125

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

DOI MR   Zbl

DOI : 10.21136/CPM.1971.108519
Classification : 34C11 
Gollwitzer, Herman E. Growth estimates for non-oscillatory solutions of a non-linear differential equation. Časopis pro pěstování matematiky, Tome 96 (1971) no. 2, pp. 119-125. doi: 10.21136/CPM.1971.108519
@article{10_21136_CPM_1971_108519,
     author = {Gollwitzer, Herman E.},
     title = {Growth estimates for non-oscillatory solutions of a non-linear differential equation},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {119--125},
     year = {1971},
     volume = {96},
     number = {2},
     doi = {10.21136/CPM.1971.108519},
     mrnumber = {0289857},
     zbl = {0215.44301},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1971.108519/}
}
TY  - JOUR
AU  - Gollwitzer, Herman E.
TI  - Growth estimates for non-oscillatory solutions of a non-linear differential equation
JO  - Časopis pro pěstování matematiky
PY  - 1971
SP  - 119
EP  - 125
VL  - 96
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1971.108519/
DO  - 10.21136/CPM.1971.108519
LA  - en
ID  - 10_21136_CPM_1971_108519
ER  - 
%0 Journal Article
%A Gollwitzer, Herman E.
%T Growth estimates for non-oscillatory solutions of a non-linear differential equation
%J Časopis pro pěstování matematiky
%D 1971
%P 119-125
%V 96
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1971.108519/
%R 10.21136/CPM.1971.108519
%G en
%F 10_21136_CPM_1971_108519

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

[2] Belohorec S.: Oscillatory solutions of certain nonlinear differential equations of the second order. (Slovak), Mat.-Fyz. Casopis Sloven. Akad. Vied. 11 (1961) 4, 250-255.

[3] Belohorec S.: On some properties of the equation $y" + f(x) y(x) = 0$, $0 < a < 1$. Mat. Časopis Sloven. Akad. Vied. 17 (1967) 1, 10-19. | MR

[4] Coffman C. V., Ullrich D. F.: On the continuation of solutions of a certain nonlinear differential equation. Monatsh, Math., 71 (1967), 385-392. | MR

[5] Gollwitzer H. E.: On nonlinear oscillations for a second order delay equation. J. Math. Anal. Appl., 26 (1969), 385-389. | MR | Zbl

[6] Gollwitzer H. E.: Nonlinear second order differential equations and Stieltjes integrals. University of Tennessee Report, 1969.

[7] Hastings S. P.: Boundary value problems in one differential equation with a discontinuity. J. of Differential Equations, 1 (1965), 346-369. | MR | Zbl

124 [8] Heidel J. W: A short proof of Atkinson's oscillation theorem. SI AM Review, in press.

[9] Heidel J. W: Rate of growth of non-oscillatory solutions of $y" + q(t)y^\gamma = 0$, $0 < y < 1$. to appear.

[10] Izjumova D. V., Kiguradze I. T: Certain remarks on solutions of the equation $u" + + a(t)f(u) = 0$. Differencialnye Uravenija 4 (1968), 589-605 (Russian). | MR

[11] Moore R. A., Nehari Z.: Non-oscillation theorems for a class of nonlinear differential equations. Trans. Amer. Math. Soc. 93 (1959), 30-52. | MR

[12] Nehari Z.: On a class of nonlinear second order differential equations. Trans. Amer. Math. Soc. 95 (I960), 101-123. | MR | Zbl

[13] Wong J. S. W: On second order nonlinear oscillation. Funkcialaj Ekvacioj, 11 (1968), 207-234. | MR | Zbl

Cité par Sources :