On the Behavior of the Solutions of (r(t)x′)′ + p(t)G(x(g(t))) = f(t)

Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation

“…In this paper an attempt is made to extend p(t) to all possible ranges. Further we do not have any restriction on G. Also this paper generalises the results of [2] that is from delay differential equation to neutral delay differential equation. In the literature the conditions assumed differ from author to author due to the different technique they use and different equation they consider.…”

“…Second order NDDEs have applications in problems dealing with vibrating masses attached to an elastic and also appear as the Euler equation, in some vibrational problems (see D r i v e r [4] and H a l e [7]). The second order and in general even order neutral equations are not as often studied in detail as the odd order NDDEs (1) and (2). It is well known that behaviour of solutions of odd order and even order NDDEs are quite different at times.…”

“…It is well known that behaviour of solutions of odd order and even order NDDEs are quite different at times. In [1], [2], [5], [8], [9] the authors have studied the behaviour of solutions of NDDEs of second order. It seems that [8] is the only result about the oscillatory behaviour of solutions of second order neutral equation (E), available in the literature.…”

“…Even the conditions assumed by different authors for similar type of equations are often not comparable. Because of the simplicity of the hypothesis assumed in this paper we ask for a comparison of our result with some of the work of [2] and [9]. While considering p(t) in a particular range we tried to give two results one with (H 4 ) and another with (H 5 ).…”

Infrared observation of OC-C2H2, OC-(C2H2)2 and their isotopologues

“…Explanation of this anomaly may have to wait for the availability of higher level ab initio calculations which fully explore the complete intermolecular potential surfaces for CO-C 2 H 2 and CO-C 2 D 2 . We are aware that such a surface is under construction and to be published in the near future [23]. Such calculations may also help to explain why the O-bonded isomer, CO-HCCH, has not been experimentally detected.…”