TAILIEUCHUNG - Báo cáo hóa học: " Research Article Existence of Solutions and Nonnegative Solutions for Prescribed Variable Exponent Mean Curvature Impulsive System Initialized Boundary Value Problems"

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: Research Article Existence of Solutions and Nonnegative Solutions for Prescribed Variable Exponent Mean Curvature Impulsive System Initialized Boundary Value Problems | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010 Article ID 915739 13 pages doi 2010 915739 Research Article Existence of Solutions and Nonnegative Solutions for Prescribed Variable Exponent Mean Curvature Impulsive System Initialized Boundary Value Problems Guizhen Zhi 1 Liang Zhao 2 Guangxia Chen 3 Xiaopin Liu 1 and Qihu Zhang1 4 1 Department of Mathematics and Information Science Zhengzhou University of Light Industry Zhengzhou Henan 450002 China 2 Academic Administration Henan Institute of Science and Technology Xinxiang Henan 453003 China 3 School of Mathematics and Informatics Henan Polytechnic University Jiaozuo Henan 454003 China 4 School of Mathematics and Statistics Huazhong Normal University Wuhan Hubei 430079 China Correspondence should be addressed to Qihu Zhang zhangqh1999@ Received 10 May 2009 Accepted 23 January 2010 Academic Editor Ondrej Dosly Copyright 2010 Guizhen Zhi et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. This paper investigates the existence of solutions and nonnegative solutions for prescribed variable exponent mean curvature impulsive system initialized boundary value problems. The proof of our main result is based upon Leray-Schauder s degree. The sufficient conditions for the existence of solutions and nonnegative solutions have been given. 1. Introduction The theory of impulsive differential equations describes processes which experience a sudden change of their state at certain moments. On the Laplacian impulsive differential equations boundary value problems there are many results see 1-5 . Because of the nonlinearity of p-Laplacian the results about p-Laplacian impulsive differential equations boundary value problems are rare see 6 . In 7 8 the authors discussed the existence of solutions of p r -Laplacian

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