期刊文献+

奇摄动积分微分方程非线性边值问题 被引量:5

Nonlinear boundary value problems for singularly perturbed integral differential equations
下载PDF
导出
摘要 利用微分不等式理论研究了一类Volterra型积分微分方程非线性边值问题.在适当条件下构造出问题的上、下解,得出解的存在性和渐近估计. Nonlinear boundary value problem for singularly perturbed integral differential equation of Volterra type by means of differential inequality theories was studied. The upper and lower solutions were constructed, and the existence and asymptotic estimates of the solution under suitable conditions were obtained.
作者 吴钦宽
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第4期127-130,共4页 Journal of Lanzhou University(Natural Sciences)
基金 江苏省高校自然科学基础研究资助项目(10471039).
关键词 奇摄动 积分微分方程 非线性边值问题 解的渐近估计 singular perturbation integral differential equation nonlinear boundary value problem asymptotic estimation of solution
  • 相关文献

参考文献15

  • 1DE JAGER E M,JIANG F R.The Theory of Singular Perturbation[M].Amsterdam:North-Holland Publishing Co,1996.
  • 2KADALBAJOO M K,PATIDAR K C.Singularly perturbed problems in partial differential equations:a survey[J].Appl Math Comput,2003,134(2-3):371-429.
  • 3BELL D C,DENG B.Singular perturbation of N-front traveling waves in the Fitzhugh-Nagumo equations[J].Nonlinear Anal,Real World Appl,2003,3(4):515-541.
  • 4BOBKOVA A S.The behavior of solutions of multidimensional singularly perturbed systems with one fast variable[J].Differential Equations,2005,41(1):22-32.
  • 5EL-GAMEL M,CANON J R.On the solution a of second order singularly perturbed boundary value problem by the Sinc-Galerkin method[J].Math Phys,2005,56(1):45-58.
  • 6吴钦宽.一类激波问题的间接匹配解[J].物理学报,2005,54(6):2510-2513. 被引量:21
  • 7BOBODZHANOV A A,SAFONOV V F.Singularly perturbed nonlinear integro differential systems with fast varying kernels[J].Mathematical Notes,2002,72(5-6):605-614.
  • 8ZAVIZION G V.Asymptotic solutions of systems of linear degenerate integro differential equations[J].Ukrainian Mathematical Journal,2003,55(4):521-534.
  • 9BOBODZHANOV A A,SAFONOV V F.Singularly perturbed integro-differential equations with diagonal degeneration of the kernel in reverse time[J].Differential Equations,2004,40(2):120-127.
  • 10林苏榕,林宗池.对角化方法在非线性积分微分方程组奇摄动边值问题中的应用[J].应用数学学报,2000,23(4):543-550. 被引量:8

二级参考文献45

共引文献66

同被引文献48

引证文献5

二级引证文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部