On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1989)
- Volume: 28, Issue: 1, page 65-86
- ISSN: 0231-9721
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topAndres, Ján, and Vlček, Vladimír. "On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 28.1 (1989): 65-86. <http://eudml.org/doc/23503>.
@article{Andres1989,
author = {Andres, Ján, Vlček, Vladimír},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {fourth-order nonlinear differential equation; fifth-order equation},
language = {eng},
number = {1},
pages = {65-86},
publisher = {Palacký University Olomouc},
title = {On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations},
url = {http://eudml.org/doc/23503},
volume = {28},
year = {1989},
}
TY - JOUR
AU - Andres, Ján
AU - Vlček, Vladimír
TI - On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1989
PB - Palacký University Olomouc
VL - 28
IS - 1
SP - 65
EP - 86
LA - eng
KW - fourth-order nonlinear differential equation; fifth-order equation
UR - http://eudml.org/doc/23503
ER -
References
top- 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. (1986) Zbl0641.34036MR0918373
- Yoshizawa T., Stability theory by Liapunov’s second method, The Math.Soc.Japan, Tokyo 1966. (1966) MR0208086
- 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. (1986) Zbl0722.34027MR0976947
- Voráček J., Über D’-divergente Lösungen der Differentialgleichung x(n) ■ f(x,x',...,x(n-1);t), Acta UPO 41 (1973), 83-89. (1973) MR0355221
- 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). (1988) Zbl0719.34060MR1039895
- 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. (1986) Zbl0608.34039MR0822859
- 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. (1987) MR0942320
- Vlček V., Boundedness of solutions of a certain fifth-order nonlinear differential equation, (this volume). Zbl0712.34050
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