| Title:
|
Growth estimates for non-oscillatory solutions of a non-linear differential equation (English) |
| Author:
|
Gollwitzer, Herman E. |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
96 |
| Issue:
|
2 |
| Year:
|
1971 |
| Pages:
|
119-125 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 0215.44301 |
| idMR:
|
MR0289857 |
| DOI:
|
10.21136/CPM.1971.108519 |
| . |
| Date available:
|
2009-09-23T08:16:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108519 |
| . |
| Reference:
|
[1] Atkinson V. V.: On second-order non-linear oscillations.Pacific J. Math. 5 (1955), 643-647. Zbl 0065.32001, MR 0072316 |
| Reference:
|
[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. |
| Reference:
|
[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 0214854 |
| Reference:
|
[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 0227494 |
| Reference:
|
[5] Gollwitzer H. E.: On nonlinear oscillations for a second order delay equation.J. Math. Anal. Appl., 26 (1969), 385-389. Zbl 0169.11401, MR 0239224 |
| Reference:
|
[6] Gollwitzer H. E.: Nonlinear second order differential equations and Stieltjes integrals.University of Tennessee Report, 1969. |
| Reference:
|
[7] Hastings S. P.: Boundary value problems in one differential equation with a discontinuity.J. of Differential Equations, 1 (1965), 346-369. Zbl 0142.06303, MR 0180723 |
| Reference:
|
124 <hr id="0137"/> [8] Heidel J. W: A short proof of Atkinson's oscillation theorem.SI AM Review, in press. |
| Reference:
|
[9] Heidel J. W: Rate of growth of non-oscillatory solutions of $y" + q(t)y^\gamma = 0$, $0 < y < 1$.to appear. |
| Reference:
|
[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 0227544 |
| Reference:
|
[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 0111897 |
| Reference:
|
[12] Nehari Z.: On a class of nonlinear second order differential equations.Trans. Amer. Math. Soc. 95 (I960), 101-123. Zbl 0097.29501, MR 0111898 |
| Reference:
|
[13] Wong J. S. W: On second order nonlinear oscillation.Funkcialaj Ekvacioj, 11 (1968), 207-234. Zbl 0157.14802, MR 0245915 |
| . |
