# Questions tagged [difference-equations]

Difference equations, including linear and nonlinear equations, discrete version of topics in analysis, partial difference equations, oscillation theory, periodic solutions, almost periodic solutions, bifurcation theory, stability theory.

**1**

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### Eigenvalues of an (almost) pentadiagonal symmetric Toeplitz matrix

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### System of two delayed functional equations with dilatations

**1**

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### Uniform lower bound for the distance between terms of a linear recurrence sequence

**1**

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### Prove monotonicity of a system of difference equations

**1**

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### Rational zeta series and differential-difference equations

**-1**

**1**answer

### Is this recurrent sequence decreasing?

**0**

**1**answer

### How to solve this conditional recurrence relation?(two variable and conditions)

**1**

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### discrete Fourier transform for composition of differential operators on a grid

**2**

**3**answers

### Does this deceptively simple nonlinear recurrence relation have a closed form solution?

**1**

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### General solution for first-order difference equation

**1**

**1**answer

### On difference identities and $[K:F]$

**1**

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### How to change difference equation time steps when rearranging?

**5**

**1**answer

### A strange two-variable recursion

**6**

**0**answers

### Hrushovski's proof of the Manin-Mumford Conjecture

**2**

**3**answers

### Difference equation and formal series

**7**

**2**answers

### Combinatorial Identity with Connection Coefficients and Falling Factorial $\langle i x\rangle_n$

**2**

**1**answer

### A problem from linear algebra and difference equations

**1**

**0**answers

### Bounds for Discrete Poisson Kernel of a Square

**1**

**1**answer

### boundedness of a nonlinear recursive sequence

**2**

**0**answers

### A two variable recurrence relation with conditionals

**9**

**3**answers

### Finite realization of irrational transfer functions

**1**

**1**answer

### Integer Polynomial solutions to functional equation

**2**

**1**answer

### how to solve this equation? [closed]

**3**

**0**answers

### Deriving Milne's predictor of order four from extrapolation polynomial [closed]

**2**

**1**answer

### Sum of difference equation involving hypergeometric functions 1F0

**5**

**2**answers

### closed form solution of the following iterative equation?

**2**

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### Geometric unfolding of a difference equation

**5**

**1**answer

### Derivative in terms of finite differences

**0**

**1**answer

### Solving the difference equation $h(\vec x)\cdot A(\vec x)=\sum_{i=1}^m A(\vec x - \vec e_i)$

**1**

**0**answers

### Bifurcations in flows on 2-dimensional torus

**6**

**1**answer

### for which values of $\theta$ does this equation $x_{n+1}=\cos(\theta)x^2_{n}-\sin(\theta)x^2_{n-1}$ have bounded solutions?

**2**

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### Discrete "difference" equations that involve changes in both shift and scale

**7**

**2**answers

### Boundedness of solutions of a difference equation

**0**

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### Help solving a recurrence relation

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### Rational dynamical system with nonnegative paramaters

**2**

**1**answer

### a second order difference equation related to a real polynomials which seems to have only real roots

**0**

**1**answer

### Generic way to solve f(x+1) - f(x) = g(x) when g(x) is given [closed]

**2**

**1**answer

### Non-linear 1st order difference equation

**2**

**2**answers

### Resource on Infinite Systems of Difference Equations

**3**

**0**answers

### Differential Equations vs Difference Equations

**1**

**1**answer

### Vortex equations on cylinder

**3**

**1**answer

### nonlinear delay differential equation

**3**

**2**answers

### delay differential equation

**11**

**1**answer

### Is exponent of discrete-analytic function also discrete-analytic?

**1**

**4**answers

### What are other applications of difference equations in other branches of mathematics ?

**3**

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### Are there existing resources on modular-esque recurrence relations?

**14**

**1**answer

### Why is there no formula for partial sums of some simple series?

**3**

**1**answer

### Difference equation $A(n,x)=p(x)A(n-1,x-1)+q(x)A(n-1,x)$

**1**

**1**answer

### Extension of polynomial functions

**8**

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