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Stability of nonlinear stochastic Volterra difference equations with continuous time
Nonlinear stochastic difference equations Stability Lyapunov functional construction Continuous time
2011/11/4
In recent years, many authors investigated the systems of stochastic difference equations with discrete time or the systems of numerical solution for stochastic difference equations with continue time...
Factorizations and Reductions of Order in Quadratic and other Non-recursive Higher Order Difference Equations
non-recursive form symmetry factorization semi-invertible map criterion
2010/12/28
A higher order difference equation may be generally defined in an arbitrary nonempty set S as:
fn(xn, xn−1, . . . , xn−k) = gn(xn, xn−1, . . . , xn−k)where fn, gn: Sk+1→ S are...
Difference equations and cluster algebras I: Poisson bracket for integrable difference equations
Difference equations cluster algebras Poisson bracket for integrable difference equations
2011/2/28
We introduce the cluster algebraic formulation of the integrable difference equations, the discrete Lotka-Volterra equation and the discrete Li-ouville equation, from the view point of the general T-s...
Factorizations and Reductions of Order in Quadratic and other Non-recursive Higher Order Difference Equations
non-recursive form symmetry factorization semi-invertible map criterion
2011/3/4
A higher order difference equation may be generally defined in an arbitrary nonempty set S as:
fn(xn, xn−1, . . . , xn−k) = gn(xn, xn−1, . . . , xn−k)where fn, gn: Sk+1→ S are...
On Non-point Invertible Transformations of Difference and Differential-difference Equations
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are ...
Positive trigonometric polynomials for strong stability of difference equations
trigonometric polynomials strong stability difference equations
2010/11/11
We follow a polynomial approach to analyse strong stability of linear difference equations with rationally independent delays. Upon application of the Hermite stability criterion on the discrete-time ...
Dynamics of a rational system of difference equations in the plane
Dynamics difference equations
2010/11/15
We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the paramet...
Tail behavior of stationary solutions of random difference equations: the case of regular matrices
Markov renewal theory implicit renewal theory Harris recurrence
2010/12/1
Given a sequence (Mn,Qn)n≥1 of i.i.d. random variables with generic copy (M,Q)such that M is a regular d × d matrix and Q takes values in Rd, we consider the random difference equation (RDE) Rn = MnRn...
Bohl-Perron type stability theorems for linear difference equations with infinite delay
Bounded delay uniform stability Perron’s property phase space
2010/12/15
Relation between two properties of linear difference equations with infinite delay is inves-
tigated: (i) exponential stability, (ii) ℓp-input ℓq-state stability (sometimes is called Perr...
Galois theory of difference equations with periodic parameters
Difference Galois theory q-difference equations Jacobi’s thetafunction sequences
2010/11/30
We develop a Galois theory for systems of linear difference equations with periodic parameters, for which we also introduce linear difference algebraic groups.We then apply this to constructively test...
Differential equations, difference equations and algebraic relations: An extension to a theorem of Compoint
Differential equations difference equations algebraic relations
2010/12/6
Let C be an algebraically closed field and X a projective curve over C. Consider an ordinary linear differential equation, or a linear differ-ence equation, with coefficients in the field of rational ...
Oscillation criteria for a class of partial difference equations
Oscillation Partial difference equation Continuous variables
2010/9/10
In this paper we consider the partial difference equation with continuous
variables, Some sufficient conditions for all solutions of this equation
to be oscillatory are obtained.
Forward (r,s)-difference operator r,s and solving difference equations
Difference equation Shift exponential formula Particular solution
2010/9/14
Forward (r,s)-difference operator r,s and solving difference equations.
PERIODIC AND SUBHARMONIC SOLUTIONS FOR SECOND ORDER NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS
Periodic solutions Subharmonic solutions Functional difference equations Linking Theorem
2008/11/26
In this paper, by using the critical point theory, some sufficient conditions for the
existence and multiplicity of periodic and subharmonic solutions to a class of second
order functional differenc...
POSITIVE SOLUTIONS OF MULTI-POINT BVPS FOR SECOND ORDER p-LAPLACIAN DIFFERENCE EQUATIONS
One-dimension p-Laplacian difference equation multi-point boundary value problem positive solution
2008/11/26
POSITIVE SOLUTIONS OF MULTI-POINT BVPS FOR SECOND ORDER p-LAPLACIAN DIFFERENCE EQUATIONS。