Summary
For the equation (⋆) below we give a condition which guarantees the existence of a bounded nonoscillatory solution x with\(\mathop {\lim }\limits_{x \to \infty } {\text{ }}x(t) = c,{\text{ }}c \in R - \{ 0\} .\)
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. K. Grammatikopoulos,On the oscillation of bounded solutions of differential equations with deviating arguments, Czechoslovak Math. J.,2 (102) (1977), pp. 186–200 (Russian).
M. K. Grammatikopoulos - Y. G. Sficas - V. A. Staikos,Oscillatory properties of strongly superlinear differential equations with deviating arguments, J. Math. Anal. Appl. (to appear).
I. T. Kiguradze,On the oscillation of solutions of the equation d m u/dt m +a(t)|u| n sgnu=0, Mat. Sb.,65 (1964), pp. 172–187 (Russian).
I. T. Kiguradze,The problem of oscillations of solutions of nonlinear differential equations, Differencial'nye Uravenija,1 (1965), pp. 995–1006 (Russian).
T. Kusano -M. Naito,Nonlinear oscillation of second order differential equations with retarded arguments, Ann. Mat. Pura Appl.,106 (1975), pp. 171–185.
T. Kusano -M. Naito,Nonlinear oscillation of fourth order differential equations, Canad. J. Math.,28 (1976), pp. 840–852.
V. A. Staikos -Y. G. Sficas,Oscillatory and asymptotic behavior of functional differential equations, J. Differential Equations,12 (1972), pp. 426–437.
Author information
Authors and Affiliations
Additional information
Entrata in Redazione il 19 luglio 1977.
Rights and permissions
About this article
Cite this article
Grammatikopoulos, M.K. A criterion for the existence of bounded nonoscillatory solutions for nonlinear retarded differential equatory. Annali di Matematica 120, 25–34 (1979). https://doi.org/10.1007/BF02411938
Issue Date:
DOI: https://doi.org/10.1007/BF02411938