{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:53Z","timestamp":1740134573404,"version":"3.37.3"},"reference-count":6,"publisher":"Wiley","license":[{"start":{"date-parts":[[2007,1,1]],"date-time":"2007-01-01T00:00:00Z","timestamp":1167609600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2007]]},"abstract":"<jats:p>The purpose of this paper is the construction of invariant regions in which we establish the global existence of solutions for reaction-diffusion systems (three equations) with a tridiagonal matrix of diffusion coefficients and with nonhomogeneous boundary conditions after the work of Kouachi (2004) on the system of reaction diffusion with a full 2-square matrix. Our techniques are based on invariant regions and Lyapunov functional methods. The nonlinear reaction term has been supposed to be of polynomial growth.<\/jats:p>","DOI":"10.1155\/2007\/12375","type":"journal-article","created":{"date-parts":[[2008,3,18]],"date-time":"2008-03-18T10:44:11Z","timestamp":1205837051000},"page":"1-15","source":"Crossref","is-referenced-by-count":5,"title":["Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Tridiagonal Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions"],"prefix":"10.1155","volume":"2007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7298-5767","authenticated-orcid":true,"given":"Abdelmalek","family":"Salem","sequence":"first","affiliation":[]}],"member":"311","reference":[{"volume-title":"Partial Differential Equations of Parabolic Type","year":"1964","key":"1"},{"key":"2","series-title":"Lecture Notes in Mathematics","volume-title":"Geometric Theory of Semilinear Parabolic Equations","volume":"840","year":"1984"},{"key":"3","series-title":"Applied Mathematical Sciences","volume-title":"Semigroups of Linear Operators and Applications to Partial Differential Equations","volume":"44","year":"1983"},{"issue":"2","key":"4","first-page":"1","year":"2002","journal-title":"Electronic Journal of Qualitative Theory of Differential Equations"},{"key":"5","series-title":"Fundamental Principles of Mathematical Science","volume-title":"Shock Waves and Reaction-Diffusion Equations","volume":"258","year":"1983"},{"issue":"88","key":"6","first-page":"1","year":"2002","journal-title":"Electronic Journal of Differential Equations"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2007\/012375.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2007\/012375.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,11]],"date-time":"2016-08-11T07:09:11Z","timestamp":1470899351000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2007\/012375\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007]]},"references-count":6,"alternative-id":["012375","12375"],"URL":"https:\/\/doi.org\/10.1155\/2007\/12375","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2007]]}}}