ACTA issues

Oscillation theorems for nonlinear second order differential equations

Jelena V. Manojlović

Acta Sci. Math. (Szeged) 65:3-4(1999), 515-527

Abstract. We establish some oscillation theorems for the nonlinear differential equation $$ [p(t)g(x)x']'+q(t)f(x)=r(t) $$ where $q,r\colon[t_0,+\infty )\to{\msbm R}$ are continuous functions and $p\colon[t_0,+\infty )\to(0,+\infty )$, $g\colon{\msbm R}\to(0,+\infty )$, $f\colon{\msbm R}\to{\msbm R}$ are continuously differentiable functions.

AMS Subject Classification (1991): 34C10, 34C15

Received May 7, 1998. (Registered under 2699/2009.)