Asymptotic Behavior Of Third Order Nonlinear Difference Equations With Mixed Arguments
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 1
Abstract
In this paper, we established criteria for asymptotic properties of nonlinear dierence equation with mixed arguments of the form ? 2(an(? xn)a) + qnf(xn-l) + pnh(xn+m) = 0, n ? N 0where {an}, {pn} and {qn} are nonnegative real sequences, a is a ratio of odd positive integer, and l and m are positive integers. We duduce the properties of studied equation by establishing new comparison theorem, so that some asymptotic properties of nonoscillatory solutions are resulted from the oscillation of a set of first order difference equations. Some examples are provided to illustrate the main results.
Authors and Affiliations
R. Arul
Keywords
Related Articles
- EP ID EP651307
- DOI 10.24297/jam.v9i1.6881
- Views 148
- Downloads 0
Nevanlinna Theory for the Uniqueness of Difference Polynomials and Meromorphic Functions by Sharing one Small Function
The purpose of this paper is to extend the usual Nevanlinna theory to the periodic functions, difference operators and difference polynomials of meromorphic functions concerning their uniqueness after sharing one&n...
On a fractional differemtial equation with Jumaries fractional derivative
By a counterexample, we prove that the results obtained in [1] are incorrect and there exist some theoretical mistakes in fractional complex transform.
SOME NEW PROPERTIES ON TOPOLOGICAL SPACES
In this journey, we are going to explore the separation axioms in greater detail. Separation axioms are one among the most common, important and interesting concepts in Topology. They can be used to define more re...
Designing error resistant controller by using of bond-graph theory on electromagnetic loading system
Developing methods to design controller which at least under the situation that error exists, could continue its control procedure by decreasing operation till system attains secure situation to eliminate error, is a nec...
On R^G-Homeomorphisms in Topological Spaces.
This paper deals with r^g open and closed maps. Also we introduce a new class of maps namely r^g* - homeomorphism which form a subclass of r^g - homeomorphism.