Global monotonicity and oscillation for second order differential equation

Monotonicity properties of oscillatory solutions of differential equation $(a(t)\vert y^{\prime }\vert ^{p-1}y^{\prime })^{\prime }+f(t,y,y^{\prime })=0$

“…In [1] and [2] (see also references therein), some monotonicity results concerning the oscillatory solutions of the differential equation…”

On oscillatory solutions of quasilinear differential equations

“…The oscillation of (1) and (2) has been extensively studied. We refer to the papers [2,10], the monographs [1,8,9] and references therein.…”

“…We refer to the papers [2,10], the monographs [1,8,9] and references therein. Other contributions can be obtained from [11,12] in which more general equations including (1) are considered.…”

“…Such an approach has been generalized in various directions: we refer to [2,9,10] and references therein for more details. Our approach used here is different to this one.…”

On the existence of unbounded noncontinuable solutions

“…The first results for the nonexistence of noncontinuable solutions are given by Wintner, see [8] or [11]; other results are obtained, e.g., in [4,5]. In particular, noncontinuable solutions do not exist if h ∈ C • (R + ) and…”