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Cholerny Spammer
Joined: 03 Mar 2011
Posts: 729
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Location: England
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Posted: Wed 15:58, 30 Mar 2011 Post subject: With stage structure of non- local reaction-diffus |
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Non- local delay with stage structure stability of reaction-diffusion model
The stability of reaction-diffusion model of hysteresis l5 step, because the ma ∈ V (z, t0)> 0 and ma ∈ V research (, to)> 0, by Lemma 3, limv (£) a , limw (t) One. Therefore, ∈, _. ∞ f_. ∞ million consistent with limU (, £) a u. f-● ∞ the proof. Theorem 5 Suppose ‰ ∈ C (P.) non-negative , bounded , uniformly Holder continuous and (, O) is not identically 0 , then ( 1), equation (2) any solution u (x,[link widoczny dla zalogowanych], £) a ( U (,£), U (,£)) to meet : A ∈ n consistent with limu (x, £) -E a (f, U). f-● ∞ prove Theorem 4 , for ∈ n consistent with limU (, £) of a U. f-● ∞ , therefore, only prove ∈ n consistent with lim £) a IIG (x,, s) k (s) e-J0J '| JU so that for any £> 0, there is t. > 0 such that for all ∈ n consistent with limU (, £) of a U. (, £) ∈ n × [to,. . ) , the theorem is proved. f A £ ≤ m (,) A m (,) ≤ yuf + £,
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