期刊文献+

Banach空间二阶非线性积分-微分方程组初值问题(英文)

Initial Value Problems of Systems for Nonlinear Second Order Integro-differential Equations in Banach Spaces
下载PDF
导出
摘要 使用半序方法和新的比较结果,研究Banach空间二阶非线性积分-微分方程组初值问题最大最小解的存在性. By using the partial order method and some new comparison results, we study the existence of maximal and minimal solutions for initial value problems of system for nonlinear second order integro- differential equations in Banach sapces.
出处 《大学数学》 北大核心 2008年第3期37-44,共8页 College Mathematics
关键词 BANACH空间 积分-微分方程组初值问题 最大最小解 Banach space initial value problem of systems for integro-differential equations maximal and minimal solutions
  • 相关文献

参考文献7

  • 1Mohammad K. The method of mixed monotony and second order integro-differential systems[J]. Applicable Analysis, 1988, 28: 199-206.
  • 2Guo D J. Initial value problems for integro-differential equations of Volterra type in Banach spaces[J]. J. Appl. Math. Stoch. Anal. , 1994, 7(1) :13-23.
  • 3Guo D J. Partial ordering methods in nonlinear analysis[M]. Jinan: Shangdong Science ang Technology Press, 2000 (in Chinese).
  • 4宋光兴.Banach空间中二阶积-微分方程初值问题的解[J].数学学报(中文版),2004,47(1):71-78. 被引量:12
  • 5Lakshmikamtham V and Liu X Z. Nonlinear integral equations in abstract spaces[M]. Dordrecht: Kluwer Academic Publishers, 1996.
  • 6Deimling K. Nonlinear Functional Analysis[M]. Berlin: Springer-Verlag, 1985.
  • 7Guo D J, Lakshmikantham V. Nonlinear problems in abstract cones[M]. Bosten: Academic Press, 1988.

二级参考文献2

共引文献11

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