| Title:
|
On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations (English) |
| Title:
|
O existenci kvadraticky integrovatelných řešení a jejich derivací diferenciálních rovnic čtvrtého a pátého řádu (Czech) |
| Author:
|
Andres, Ján |
| Author:
|
Vlček, Vladimír |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
28 |
| Issue:
|
1 |
| Year:
|
1989 |
| Pages:
|
65-86 |
| Summary lang:
|
Czech |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34A34 |
| idZBL:
|
Zbl 0711.34012 |
| idMR:
|
MR1053729 |
| . |
| Date available:
|
2009-01-29T15:34:57Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120224 |
| . |
| Reference:
|
[1] Andres J.: A useful proposition to nonlinear differential systems with a solution of the prescribed asymptotic properties.Acta UPO 85, Math.XXV (1986), 157-164. Zbl 0641.34036, MR 0918373 |
| Reference:
|
[2] Yoshizawa T.: Stability theory by Liapunov’s second method.The Math.Soc.Japan, Tokyo 1966. MR 0208086 |
| Reference:
|
[3] Andres J.: Boundedness results to the equation x"* + ax" + g(x)x* + h(x) ■ p(x) without the hypothesis h(x)sgn x -= 0 for |x| > R.Atti Accad.Naz.Lincei 80, 5 (1986), 533-539. Zbl 0722.34027, MR 0976947 |
| Reference:
|
[4] Voráček J.: Über D’-divergente Lösungen der Differentialgleichung x(n) ■ f(x,x',...,x(n-1);t).Acta UPO 41 (1973), 83-89. MR 0355221 |
| Reference:
|
[5] Vlček V.: On the boundedness of solutions of a certain fourth-order nonlinear differential equation.Acta UPO 89, Math. XXVII, Vol. 91 (1988), (in print). Zbl 0719.34060, MR 1039895 |
| Reference:
|
[6] Andres J.: Boundedness of solutions of the third order differential equation with oscillatory restoring and forcing terms.Czech.Math.J. 36, 1 (1986), 1-6. Zbl 0608.34039, MR 0822859 |
| Reference:
|
[7] Andres J.: Dichotomies for solutions of a certain third order nonlinear differential equation, which is not from the class D.Fasc.Math. 17 (1987), 55-62. MR 0942320 |
| Reference:
|
[8] Vlček V.: Boundedness of solutions of a certain fifth-order nonlinear differential equation.(this volume). Zbl 0712.34050 |
| . |
