Stability analysis of solutions to nonlinear stiff Volterra functional differential equations in Banach spaces  

作　　者：LI Shoufu 

机构地区：[1]Department of Mathematics, Xiangtan University, Xiangtan 411105, China

出　　处：《Science China Mathematics》2005年第3期372-387,共16页中国科学：数学（英文版）

基　　金：This work was supported by the National High-Tech ICF Committee in China;the National Natural Science Foundation of China(Grant No.10271100).

摘　　要：A series of stability, contractivity and asymptotic stability results of the solutions to nonlinear stiff Volterra functional differential equations (VFDEs) in Banach spaces is obtained, which provides the unified theoretical foundation for the stability analysis of solutions to nonlinear stiff problems in ordinary differential equations(ODEs), delay differential equations(DDEs), integro-differential equations(IDEs) and VFDEs of other type which appear in practice.A series of stability, contractivity and asymptotic stability results of the solutions to nonlinear stiff Volterra functional differential equations (VFDEs) in Banach spaces is obtained, which provides the unified theoretical foundation for the stability analysis of solutions to nonlinear stiff problems in ordinary differential equations(ODEs), delay differential equations(DDEs), integro-differential equations(IDEs) and VFDEs of other type which appear in practice.

关 键 词：NONLINEAR STIFF problems  functional differential equations  stability  contractivity. 

分 类 号：N[自然科学总论]