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Higherorder implicit function theorems and degenerate nonlinear boundaryvalue problems
1.  Department of Mathematics and Statistics, 123 Bachelor Hall, Miami University, Oxford, OH 45056, United States 
2.  System Research Institute, Polish Academy of Sciences, Newelska 6, 01447 Warsaw, Poland, University of Podlasie in Siedlce, 3 Maja 54, 08110 Siedlce, Poland 
3.  Control and Dynamical Systems 10781, California Institute of Technology, Pasadena, CA 91125, United States 
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