A Lyapunov functional for a triangular reaction–diffusion system with nonlinearities of exponential growth | Zendy

Abdelmalek S. | Zendy; Kirane M. | Zendy; Youkana A. | Zendy

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A Lyapunov functional for a triangular reaction–diffusion system with nonlinearities of exponential growth

Author(s) -

Abdelmalek S.,

Kirane M.,

Youkana A.

Publication year - 2012

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2572

Subject(s) - mathematics , exponential growth , reaction–diffusion system , lyapunov function , exponential function , exponential stability , diffusion , work (physics) , basis (linear algebra) , mathematical analysis , nonlinear system , geometry , physics , thermodynamics , quantum mechanics

The aim of this work is to study the global existence of solutions to a triangular system of reaction–diffusion equations, which describes epidemiological or chemical situations. On the basis of the construction of a suitable Lyapunov functional, we show that for any initial data, classical global solutions exist even when the nonlinearities are of exponential growth. Copyright © 2012 John Wiley & Sons, Ltd.

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