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一类新的弱奇性Wendroff型积分不等式解的估计 被引量:4

Estimates on Solutions of a New Weakly Singular Wendroff Integral Inequalities for Recurrent Event Data
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摘要 在参数更广的分布下,讨论了一类新的弱奇性Wendroff型积分不等式解的估计,所得结果推广了已有的相关结果,并将结果应用到研究微分方程解的有界性中. With more general parameter distribution, estimate on solutions of a new weakly singular wendroff integral inequalities are discussed, which generalized some known weakly singular inequalities for functions in two variables. Application example in the roundedness of the solution of differential equation is also given.
出处 《应用数学学报》 CSCD 北大核心 2013年第1期97-107,共11页 Acta Mathematicae Applicatae Sinica
基金 四川省教育厅重点项目(10ZA173)资助
关键词 弱奇异积分不等式 解的估计 两个变量 非线性 weakly singular integral inequality estimate on solutions two variables nonlinear
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  • 3Cbeung W S,Ma Q H,Tseng S. Some new nonlinear weakly singular integral inequalities of Wendroff type with applications[J].{H}JOURNAL OF INEQUALITIES AND APPLICATIONS,2008.909156.
  • 4Wang H,Zheng K. Som nonlinear weakly singular integral inequalities with two variables and applications[J].{H}JOURNAL OF INEQUALITIES AND APPLICATIONS,2010.345701.
  • 5Henry D.Geometric Theory of Semilinear Parabolic Equations[M].New York:Springer-Verlag,Berlin,Heidelberg,1981.
  • 6Medved M.A new approach to an analysis of Henry type integral inequalities and their Bihari version[J].J Math Anal Appl,1997,214(2):349-366.
  • 7Cheung W S,Ma Q H,Tseng S.Some new nonlinear weakly singu-lar integral inequalities of Wendroff type with applicayions[J],Jour-nal of Inequalities and Applicayions,2008,Article ID 909156,13pages.
  • 8Wang H,Zheng K,Som nonlinear weakly singular integral inequali-ties with two variables and applications[J].Journal of Inequalities and Applications,2010:12,Article ID 345701.
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