References
R. E. Edwards,Functional Analysis: Theory and Applications, Holt, Rinehart and Winston (New York, 1965).
Á. Elbert, A half-linear second order differential equation, Colloq. Math. Soc. J. Bolyai, 30:Theory of Differential Equations (M. Farkas, Ed.), pp. 153–179 (Szeged, 1979).
Á. Elbert, The Wronskian and the half-linear differential equations,Studia Sci. Math. Hungar.,15 (1980), 101–105.
Á. Elbert, Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations,Ordinary and Partial Differential Equations, Lecture Notes in Math. No. 1964, pp. 187–212, Springer (Berlin-Heidelberg-New York, 1982).
Á. Elbert, Asymptotic behavior of autonomous half-linear differential systems on the plane,Studia Sci. Math. Hungar.,19 (1984), 447–464.
M. Hukuhara, Sur l'existence des points invariants d'une transformation dans l'espace fonctionnel,Japan. J. Math.,20 (1950), 1–4.
D. V. Izjumova and D. D. Mirzov, On the oscillation and nonoscillation of solutions of nonlinear differential systems,Differential'nye Uravnenija,12 (1976) 1187–1193 (in Russian).
Y. Kitamura and T. Kusano, Oscillation and a class of nonlinear differential systems with general deviating arguments,Nonlinear Analysis,2 (1978), 537–551.
D. D. Mirzov, On the oscillation of solutions of a system of nonlinear differential equations,Differential'nye Uravnenija,9 (1973), 581–583 (in Russian).
D. D. Mirzov, On the question of oscillation of solutions of a system of nonlinear differential equations,Mat. Zametki,16 (1974), 571–576 (in Russian).
D. D. Mirzov, Some asymptotic properties of solutions of a system of Emden-Fowler type,Differential'nye Uravnenija,23 (1987), 1519–1532 (in Russian).
M. Piros, On the solutions of a half-linear differential equation,Studia Sci. Math. Hungar.,19 (1984), 195–211.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Elbert, Á., Kusano, T. Oscillation and non-oscillation theorems for a class of second order quasilinear differential equations. Acta Math Hung 56, 325–336 (1990). https://doi.org/10.1007/BF01903849
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01903849