Summary
Qualitatively expressed me assert the following. If the equation (1.1)·(1.2) fulfills the restriction(1.6)·(1.7)·(1.8) whic are less restrictive than usual, then all solutions with norms tending to O with1/t cannot be «to small» in an arbitrary interval in t ≧ 0 with fixed length.
Article PDF
Similar content being viewed by others
Literatur
O. Perron,Uber Stabilität und asymptotisches Verhalten der Integrale von Differentialgleichungssysteme, «Math. Zeitschrift», Bd. 29, p. 129–160.
See my book,Eine neue Methode in der Analysis und deren Anwendungen, Budapest, Akad. Kiadó, 1953, p. 42. A completely rewritten and enlarged English edition is in preparation.
Author information
Authors and Affiliations
Additional information
A Giovanni Sansone nel suo 70° compleanno.
Rights and permissions
About this article
Cite this article
Turan, P. On a property of the stable or conditionally stable solutions of systems of non-linear differential equations. Annali di Matematica 48, 333–340 (1959). https://doi.org/10.1007/BF02410674
Issue Date:
DOI: https://doi.org/10.1007/BF02410674