Existence of zeros for bounded perturbations of proper mappings
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摘要
Sufficient conditions, asserting the existence of at least one zero of bounded perturbations of proper mappings, are given. The conditions are easily tested. The proof of this theorem is constructive, showing the existence of a solution curve that can be followed by numerical methods.
论文关键词:Regular value,Zero point,Continuation methods,Homotopy,Existence theorems,Implicit function,Proper mapping,Bounded perturbation
论文评审过程:Available online 25 March 1999.
论文官网地址:https://doi.org/10.1016/S0096-3003(97)10183-7