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Stable Subharmonic Solutions in Periodic Reaction-Diffusion Equations

✍ Scribed by E.N. Dancer; P. Hess

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
376 KB
Volume
108
Category
Article
ISSN
0022-0396

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Convergence to Periodic Solutions in Periodic Quasimonotone Reaction–Diffusion Systems
✍ Yi Wang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 144 KB

The author studies the periodic time-dependent quasimonotone reactiondiffusion systems in a proper Banach space satisfying (i) ∂F i /∂u j ≥ 0 for all 1 ≤ i = j ≤ n; (ii) F t x u is periodic in t of period τ > 0; and (iii) F i t x αu ≥ αF i t x u for all α ∈ 0 1 and i = 1 2 n. It is proved that ever