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Published October 1981 | Published
Journal Article Open

Resonance for Singular Perturbation Problems

Abstract

Consider the resonance for a second-order equation εy"-xpy'+ qy = 0. Another proof is given for the necessity of the Matkowsky condition and the connection with a regular eigenvalue problem is established. Also, if p, q are analytic, necessary and sufficient conditions are derived.

Additional Information

© 1981 Society for Industrial and Applied Mathematics. Received by the editors November 30, 1979, and in revised form October 15, 1980; Published online July 12, 2006.

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August 19, 2023
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October 18, 2023