The Skrypnik Degree Theory and Boundary Value Problems
A. P. Kovalenok, P. P. Zabreiko
Abstract
The paper presents theorems on the calculation of the index of a singular point and at the infinity of monotone type mappings. These theorems cover basic cases when the principal linear part of a mapping is degenerate. Applications of these theorems to proving solvability and nontrivial solvability of the Dirichlet problem for ordinary and partial differential equations are considered.
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