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MathGroup Archive 2005

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Re: How to solve an implicit system?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg54566] Re: [mg54538] How to solve an implicit system?
  • From: DrBob <drbob at bigfoot.com>
  • Date: Wed, 23 Feb 2005 03:11:36 -0500 (EST)
  • References: <200502220924.EAA10844@smc.vnet.net>
  • Reply-to: drbob at bigfoot.com
  • Sender: owner-wri-mathgroup at wolfram.com

The solutions are periodic functions (with period 1):

Simplify[{y[t + 1] ==
     y[t] + (y[t + 1] - y[t]) +
      (z[t + 1] - z[t]),
    z[t + 1] == z[t] +
      (y[t + 1] - y[t]) +
      (z[t + 1] - z[t])}]

{z[t] == z[1 + t], y[t] == y[1 + t]}

Bobby

On Tue, 22 Feb 2005 04:24:32 -0500 (EST), bananalimone <bananalimone at libero.it> wrote:

> I've to solve the following (simplificated) system:
>
> y[t+1]=y[t]+(y[t+1]-y[t])+(z[t+1]-z[t])
> z[t+1]=z[t]+(y[t+1]-y[t])+(z[t+1]-z[t])
>
> I would like to choose the iterative way, but I don't know how to
> start. Anyway any solution is accepted!
>
> Please help me.
>
> \bananalimone
>
>
>
>



-- 
DrBob at bigfoot.com
www.eclecticdreams.net


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