# Advances in Difference Equations

Advances in Difference Equations > 2004 > 2004 > 1 > 1-10

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Advances in Difference Equations > 2004 > 2004 > 1 > 1-14

*F*

_{+}- and

*F*

_{−}-solutions. Relations between these types of solutions and their nonoscillatory behavior are obtained. Necessary and sufficient conditions are obtained for the difference equation to admit the...

Advances in Difference Equations > 2004 > 2004 > 2 > 1-42

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Advances in Difference Equations > 2004 > 2004 > 2 > 1-17

Advances in Difference Equations > 2004 > 2004 > 2 > 1-10

Advances in Difference Equations > 2004 > 2004 > 3 > 1-25

Advances in Difference Equations > 2004 > 2004 > 3 > 1-11

Advances in Difference Equations > 2004 > 2004 > 3 > 1-12

*p*∈ℕ, . The method will be illustrated by use of two examples concerning a nonlinear ordinary difference equation known as the Putnam equation, and a linear partial difference equation of three variables describing...

Advances in Difference Equations > 2004 > 2004 > 3 > 1-6

Advances in Difference Equations > 2004 > 2004 > 3 > 1-11

Advances in Difference Equations > 2004 > 2004 > 3 > 1-10

*n*th-order linear forward difference equation. In particular, we obtain a maximum principle and determine sign properties of a corresponding Green function. Of interest, we show that the methods used for two-point disconjugacy or right-disfocality results apply to this family of three-point BVPs.

Advances in Difference Equations > 2004 > 2004 > 3 > 1-12

^{1}. As an application of this result, the asymptotic stability of stochastic numerical methods, such as partially drift-implicit

*θ*-methods with...

Advances in Difference Equations > 2004 > 2004 > 4 > 1-16

Advances in Difference Equations > 2004 > 2004 > 4 > 1-10

*n*∈ℤ.

Advances in Difference Equations > 2004 > 2004 > 4 > 1-20

*n*th problem in time scales with linear dependence on the

*i*th Δ-derivatives for

*i*= 1,2,…,

*n*, together with antiperiodic boundary value conditions. Here the nonlinear right-hand side of the equation is defined by a function

*f*(

*t*,

*x*) which is rd-continuous in

*t*and continuous in

*x*uniformly...

Advances in Difference Equations > 2004 > 2004 > 4 > 1-21