There are studied asymptotic properties of solutions of the nonlinear differential equation L_nx+p(t)f(x)=0 where L_n is disconjugate operator, p is of one sign and f(u)u>0 for u≠0. Some comparison theorems in terms of property A and property B between linear and nonlinear equations are also given which generalize known results for n=3.
Disconjugate operators and related differential equations / M. Cecchi; Z. Dosla; M. Marini. - In: ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. - ISSN 1417-3875. - ELETTRONICO. - 4:(2000), pp. 1-17. (Intervento presentato al convegno The 6th Colloquium on the Qualitative Theory of Differential Equations nel 1999) [10.14232/ejqtde.1999.5.4].
Disconjugate operators and related differential equations
CECCHI, MARIELLA;MARINI, MAURO
2000
Abstract
There are studied asymptotic properties of solutions of the nonlinear differential equation L_nx+p(t)f(x)=0 where L_n is disconjugate operator, p is of one sign and f(u)u>0 for u≠0. Some comparison theorems in terms of property A and property B between linear and nonlinear equations are also given which generalize known results for n=3.
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