Oscillation and Nonoscillation of Fourth-order Nonlinear Neutral Differential Equations with "Maxima".
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 2
Abstract
In this paper, we study the oscillation and asymptotic properties of fourth-order nonlinear neutral dierential equations with \maxima" (r(t)(y(t) + p(t)y(h(t)))00)00 + q(t) max [(t);t] f(y(s)) = 0; t t0 0 (0.1) and R 1 t0 1 r(t)dt = 1;we establish necessary and sucient conditions for all solutions of the equation (0.1) to be oscillatory.These results extend some known results in the literature without \maxima". Examples are given to illustrate the main results.
Authors and Affiliations
R. Arul, M. Mani
Existence of Nonoscillatory Solutions of First Order Nonlinear Neutral Dierence Equations
In this paper, we discuss the existence of nonoscillatory solutions of first order nonlinear neutral difference equations of the form We use the Knaster-Tarski xed point theorem to obtain some sucient conditions for the...
Some Remarks on Restricted Panel Data Model
In this paper , we investigate some remarks on panel data model with linear constraints on the coefficients of the random panel data model. Furthermore, it investigates the inferences . The restricted maximum likelihood...
New types of -Open Sets and Associated Weak Separation Axioms
Pal and Bhattacharyya (1996)introduced the notion of pre--open sets.In this paper, we consider the class of pre--open sets in topological spaces and investigate some of their properties. Also,we present and study some we...
A REDUCED TABLEOF THE ZECH´S LOGARITHM
In this work we will solve the problem of expression of the sum of two given elements of a finite field, as power of the primitive element of the field. We obtain a reduced table of the Zech's logarithm from our proposal...
Splitting Decomposition Homotopy Perturbation Method To Solve One -Dimensional Navier -Stokes Equation
We have proposed in this research a new scheme to find analytical approximating solutions for Navier-Stokes equation of one dimension. The new methodology depends on combining &n...