Abstract
The paper presents the continuation of the previous results devoted to the problem of solutions existence to nonlinear equations in singular case where a linear part of considered mapping determining the equation may be degenerate at the corresponding initial point. We study the case when the p-kernel of the mapping is non trivial. Such type of problems appears in various mathematical models and applications. The p-regularity theory is used in our analysis and some concepts and technics of set-valued approach.
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