Almenar, P.; Jódar Sánchez, Lucas Antonio(Elsevier, 2011-04)
This paper presents a Lyapunov-type inequality for the second order nonlinear equation (r(x)y')' + p(x)f(y(x)) = 0, with r(x), p(x) > 0 and f(y) odd and positive for y > O. It also compares it with similar results. (C) ...
Almenar, Pedro; Jódar Sánchez, Lucas Antonio(Elsevier, 2011-07)
This paper presents integral criteria to determine the asymptotic behaviour of the solutions of second order nonlinear differential equations of the type y¿(x)+q(x)f(y(x))=0, with q(x)>0 and f(y) odd and positive for y>0, ...