The inhomogeneous part of the singularly perturbed problem affects and prolongs the loss of stability. If the inhomogeneous part is a generalized singular Dirac function, which determines the behavior of solutions to the singular problem. The features of the problem under study are shown. As a result, an asymptotic estimate was obtained. The problem is studied in a real domain.
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Akmatov et al. (2024) studied this question.
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