Introduction .................................................... 5
1 Local Inversion Theorem for a Singular Point ................. 9
2 Local Invertibility in a Cone ............................... 42
3 Examples of Applications .................................... 54
4 Applications to Nonlinear Integral Equations ................ 51
5 Implicit Mapping Theorem for a Singular Point and
Applications in Bifurcation Theory .......................... 74
Conclusion ..................................................... 82
References ..................................................... 83
From Publishers ................................................ 86
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