Abstract
<p>The purpose of this paper is to prove the global existence in time of solutions for the strongly coupled reaction-diffusion system:</p><p><img src="/public/site/images/admin/Capture.JPG" alt="" /><br /><br />with full matrix of diffusion coefficients. Our techniques of proof are based on Lyapunov functional methods and some \(L^{p}\) estimates. we show that global solutions exist. Our investigation applied for a wide class of the nonlinear terms <em>f</em> and <em>g</em>.</p>
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