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Asymptotic Behavior of the Solutions of Differential Equations with Double Singularity in a Conditionally Stable Case

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We consider a double singular perturbation of a boundary-value problem for a nonlinear system of ordinary differential equations. For a formal asymptotic solution constructed by the method of boundary functions… Click to show full abstract

We consider a double singular perturbation of a boundary-value problem for a nonlinear system of ordinary differential equations. 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.

Keywords: asymptotic behavior; equations double; behavior solutions; differential equations; solutions differential; double singularity

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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