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On instability intervals of a hill's equation with piecewise constant coefficient

2006
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Advisor: Prof. Dr. İrfan Baki Yaşar

Abstract (EN)

ON INSTABILITY INTERVALS OF A HILL'S EQUATION WITHPIECEWISE CONSTANT COEFFICIENT(M.Sc. Thesis)Burhan SELÇUKGAZ UNIVERSITYINSTITUTE OF SCIENCE AND TECHNOLOGY2006SeptemberABSTRACTIn this paper, the asymptotic formulas for eigenvalues of the periodic and thesemiperiodic boundary value problems associated with a Hill's equation havingpiecewise constant coefficient are investigated. As a corollary, it is shown thatthe lengths of instabilitiy intervals of Hill's equation tend to infinity.Science Code : 204.1.138Key Words : Hill?s equation, Eigenvalue, StabilityPage Number : 56Adviser : Prof.Dr. rfan Baki Yaşar

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Burhan Selçuk

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Burhan Selçuk (Master Thesis). On instability intervals of a hill's equation with piecewise constant coefficient, 2006, Gazi University.

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