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Boundary-value problem for ordinary differential equations with double singularity in a critical case

Boundary-value problem for ordinary differential equations with double singularity in a critical case

The double singular perturbation for boundary-value problem for system of ordinary differential equations in a critical case is considered. For a formal asymptotic solution, constructed by the method of boundary functions and generalized inverse matrices and projectors, we prove an asymptotic property of the formal series.