Some inverse results for Hill's equation

DOI10.1016/S0022-247X(02)00454-7zbMath1024.34005MaRDI QIDQ1857013

Haskız Coşkun

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptoticsFourier coefficientsHill's equationassociated Riccati equation

Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55)

Related Items (5)

Inverse problem for Hill equation with jump conditions ⋮ A new application of the Hill repressor function: automatic control of a conic tank level and local stability analysis ⋮ Using Fourier coefficients to determine the unstable points of Hill equation ⋮ Asymptotic approximations of eigenvalues and eigenfunctions for regular Sturm-Liouville problems ⋮ Instability intervals for Hill's equation with symmetric single-well potential

Cites Work

• Unnamed Item
• Gaps and bands of one dimensional periodic Schrödinger operators
• Asymptotics of eigenvalues for regular Sturm-Liouville problems
• On the spectrum of a second-order periodic differential equation
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• The inverse problem for periodic potentials
• Estimates for the periodic and semi-periodic eigenvalues of Hill's equation
• Estimates on the Stability Intervals for Hill's Equation
• On the determination of a Hill's equation from its spectrum

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