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On the Coexistence Problem for a Special Hill's Equation
Author(s) -
Hoehn E. K. H.
Publication year - 1969
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19690491107
Subject(s) - eigenvalues and eigenvectors , mathematics , mathematical analysis , pure mathematics , physics , quantum mechanics
The first two terms of the asymptotic expansion for the eigenvalues of a special Hill's equation are derived, and then used to find conditions for the coexistence of two linearly independent solutions with period 2 π or 4 π.