文献类型：期刊文献

英文题名：An Extension to Nonlinear Sum-Difference Inequality and Applications

作者：Wang, Wu-Sheng[2];Zhou, Xiaoliang[1]

机构：[1]Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Peoples R China;[2]Hechi Univ, Dept Math, Yizhou 546300, Guangxi, Peoples R China

年份：2009

卷号：2009

外文期刊名：ADVANCES IN DIFFERENCE EQUATIONS

收录：SCI-EXPANDED(收录号：WOS:000269040000001)、、Scopus(收录号：2-s2.0-69249206804)、WOS

基金：The authors thank ProfessorWeinian Zhang (Sichuan University) for his valuable discussion. The authors also thank the referees for their helpful comments and suggestions. This work is supported by the Natural Science Foundation of Guangxi Autonomous Region (200991265), by Scientific Research Foundation of the Education Department of Guangxi Autonomous Region of China (200707MS112) and by Foundation of Natural Science of Hechi University (2006A-N001) and Key Discipline of Applied Mathematics of Hechi University of China (200725).

语种：英文

外文摘要：We establish a general form of sum-difference inequality in two variables, which includes both more than two distinct nonlinear sums without an assumption of monotonicity and a nonconstant term outside the sums. We employ a technique of monotonization and use a property of stronger monotonicity to give an estimate for the unknown function. Our result enables us to solve those discrete inequalities considered in the work of W.-S. Cheung (2006). Furthermore, we apply our result to a boundary value problem of a partial difference equation for boundedness, uniqueness, and continuous dependence. Copyright (c) 2009 W.-S. Wang and X. Zhou.