first-order difference equations
Stability of periodic solutions of first order difference equations lying between lower and upper solutions
... differential equations that lie between a pair of lower and upper ...for order-preserving operators defined on Banach spaces have been obtained by Dancer in [4] and Dancer and Hess in ...
11
Solution of Stochastic Non Homogeneous Linear First Order Difference Equations
... to difference equations. Difference equations relate to differential eq- uations as discrete mathematics relates to continuous ...differential equations will know that even supposedly ...
5
Oscillation of First Order Neutral Difference Equations
... neutral difference equations have been studied extensively and the oscillatory theory for these equations is well developed; see [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] ...
14
Error Bounds for Asymptotic Solutions of Second Order Linear Difference Equations II: The First Case
... differential equations, the method used in Wong and Li’s papers cannot give us way to obtain error bounds of these asymptotic ...Only order estimations were given in their ...difference equations II: ...
19
Periodic solutions for a class of higher order difference equations
... Difference equations have attracted the interest of many researchers in the last 20 years since they provided a natural description of several discrete models, in which the periodic solution problem is ...
7
An Easy Way to Teach First order Linear Differential and Difference Equations with a Constant Term and a Constant Coefficient
... higher-order equations, ...differential equations with no reference to difference ...difference equations. De la Fuente (2000) discusses both types of equations in detail ...
15
Existence of a unique bounded solution to a linear second order difference equation and the linear first order difference equation
... conditions for the existence of a unique bounded solution to the difference equation and present an elegant proof based on a combination of theory of linear difference equations and the Banach fixed point theorem. We ...
13
Some properties of algebraic difference equations of first order
... Some properties of algebraic difference equations of first order Liu Advances in Difference Equations (2017) 2017 334 DOI 10 1186/s13662 017 1395 8 R E S E A R C H Open Access Some properties of algeb[.] ...
10
Periodic solutions of nonlinear second order difference equations
... f α + g (u,v) (l) . (3.40) Observation 3.9. For (u,v) in the boundary of Ω, u − Q(I − E)F(u + MEF(u + v)) < r. Proof. For (u,v) in the boundary of Ω, (u,v) = max { u , v } = r. We consider first those elements ...
20
Second order integrability conditions for difference equations. An integrable equation.
... the first part of the next section our notation is introduced and some necessary definitions are ...second order integrability conditions (Propositions 2 and 4) and the derivation of conservation laws and ...
17
Periodic boundary value problems for first order impulsive difference equations with time delay
... In this paper, we studied impulsive delay difference equations with periodic boundary conditions. Based on the new concepts of lower and upper solutions, we established two new comparison principles. With these, we ...
14
Qualitative Research of First Order Linear Difference Equations
... of difference equations; see, for example papers [1 -11] and references cited there ...of difference equation with deviating argument and nonnegative ...
5
Oscillation criteria for first order forced nonlinear difference equations
... where { c(n) } is a sequence of nonnegative real numbers and τ is any real number. In Section 3, we investigate the oscillatory property of (1.2) and discuss the case when λ = 1, that is, the linear case. Section 4 is ...
16
Hyers Ulam stability of the first order matrix difference equations
... It should be remarked that many interesting theorems have been proved in [, ] con- cerning the linear (or nonlinear) recurrences. Especially in , the Hyers-Ulam stability of the first-order matrix difference ...
13
Existence of solutions for nonlinear second order q difference equations with first order q derivatives
... q-difference equations initiated at the beginning of the twentieth century [–] is a very interesting field in difference ...q-difference equations is still in the initial stages and many aspects of this ...
11
Anti periodic boundary value problem for first order impulsive delay difference equations
... In this paper, we investigate the anti-periodic boundary value problem for first order impulsive delay difference equations. To begin with, we establish two comparison theorems. Then, by using these theorems, ...
13
On a class of fourth order nonlinear difference equations
... Now we introduce an operator which divides the set of solutions of a special case of (1.1) into two disjoint subsets. We will prove that, for nonoscillatory solution, the first of them equals type (ii) solution ...
14
On a close to symmetric system of difference equations of second order
... Studying concrete nonlinear difference equations and systems is a topic of a great recent interest (see, e.g., [–] and the references therein). Studying systems of difference equa- tions, especially symmetric and ...
17
Oscillation Theorems for a Second Order Delay Difference Equations
... second order nonlinear difference equation has been the subject of investigation in ...linear difference equations of second order have been ...
8
Qualitative behavior of rational difference equations of higher order
... [13] E. A. Grove and G. Ladas, Periodicities in Nonlinear Difference Equations, Chapman & Hall/CRC, 2005. [14] E. A. Grove, C. M. Kent, G. Ladas, R. Levins, and S. Valicenti, Global stability in some ...
10