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báo cáo hóa học:" Rothe-Galerkin's method for nonlinear integrodifferential equations"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Rothe-Galerkin's method for nonlinear integrodifferential equations | Boundary Value Problems SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Rothe-Galerkin s method for nonlinear integrodifferential equations Boundary Value Problems 2012 2012 10 doi 10.1186 1687-2770-2012-10 Abderrazek Chaoui razwel2004@yahoo.fr Assia Guezane-Lakoud a_guezane@yahoo.fr ISSN 1687-2770 Article type Research Submission date 29 September 2011 Acceptance date 8 February 2012 Publication date 8 February 2012 Article URL http www.boundaryvalueproblems.com content 2012 1 10 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Boundary Value Problems go to http www.boundaryvalueproblems.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2012 Chaoui and Guezane-Lakoud licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Rothe-Galerkin s method for a nonlinear integrodifferential equation Abderrazek Chaoui and Assia Guezane-Lakoud Laboratory of advanced materials Badji Mokhtar University Annaba Algeria Corresponding author Email address razwel2004@yahoo.fr mguezane@yahoo.fr Abstract In this article we propose approximation schemes for solving nonlinear initial boundary value problem with Volterra operator. Existence uniqueness of solution as well as some regularity results are obtained via Rothe-Galerkin method. Keywords Rothe s method a priori estimate integrodifferential equation Galerkin method weak solution. Mathematics Subject Classification 2000 35k55 35A35 65M20. 1 1 Introduction The .