# 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) Zbl0144.10802MR0208086
- 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) Zbl0312.34026MR0355221
- 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) Zbl0645.34048MR0942320
- Vlček V., Boundedness of solutions of a certain fifth-order nonlinear differential equation, (this volume). Zbl0712.34050

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