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Volumn 276, Issue 2, 2002, Pages 833-844

Some inverse results for Hill's equation

Author keywords

Asymptotics; Fourier coefficients; Hill's equation

Indexed keywords


EID: 0037115919     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00454-7     Document Type: Article
Times cited : (8)

References (11)
  • 1
    • 33745998551 scopus 로고
    • Asymptotics of an eigenvalue problem involving an interior singularity
    • F.V. Atkinson, Asymptotics of an eigenvalue problem involving an interior singularity, Argonne Nat. Lab. Proc. 2 (1988) 1-18.
    • (1988) Argonne Nat. Lab. Proc. , vol.2 , pp. 1-18
    • Atkinson, F.V.1
  • 2
    • 0012759746 scopus 로고
    • Topics in the theory of periodic differential equations
    • Ph.D. dissertation, NIU
    • H. Coskun, Topics in the theory of periodic differential equations, Ph.D. dissertation, NIU (1994).
    • (1994)
    • Coskun, H.1
  • 3
    • 23044524230 scopus 로고    scopus 로고
    • Estimates for the periodic and semi-periodic eigenvalues of Hill's equation
    • H. Coskun, B.J. Harris, Estimates for the periodic and semi-periodic eigenvalues of Hill's equation, Proc. Roy. Soc. Edinburgh Sect. A 130 (2000) 991-998.
    • (2000) Proc. Roy. Soc. Edinburgh Sect. A , vol.130 , pp. 991-998
    • Coskun, H.1    Harris, B.J.2
  • 4
    • 0012705292 scopus 로고    scopus 로고
    • On the spectrum of a second order periodic differential equation
    • to appear
    • H. Coskun, On the spectrum of a second order periodic differential equation, Rocky Mountain J. Math., to appear.
    • Rocky Mountain J. Math.
    • Coskun, H.1
  • 6
    • 51249182844 scopus 로고
    • Gaps and bands of one dimensional periodic Schrödinger operators
    • J. Garnet, E. Trubowitz, Gaps and bands of one dimensional periodic Schrödinger operators, Comment. Math. Helv. 59 (1984) 258-312.
    • (1984) Comment. Math. Helv. , vol.59 , pp. 258-312
    • Garnet, J.1    Trubowitz, E.2
  • 7
    • 38149147889 scopus 로고
    • Asymptotics of eigenvalues for regular Sturm-Liouville problems
    • B.J. Harris, Asymptotics of eigenvalues for regular Sturm-Liouville problems, J. Math. Anal. Appl. 183 (1994) 25-36.
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 25-36
    • Harris, B.J.1
  • 8
    • 33646978170 scopus 로고
    • On the determination of a Hill's equation from its spectrum
    • H. Hochstadt, On the determination of a Hill's equation from its spectrum, Arch. Rational Mech. Anal. 19 (1965) 353-362.
    • (1965) Arch. Rational Mech. Anal. , vol.19 , pp. 353-362
    • Hochstadt, H.1
  • 9
    • 0005655067 scopus 로고
    • Estimates on the stability intervals for Hill's equation
    • H. Hochstadt, Estimates on the stability intervals for Hill's equation, Proc. Amer. Math. Soc. 14 (1963) 930-932.
    • (1963) Proc. Amer. Math. Soc. , vol.14 , pp. 930-932
    • Hochstadt, H.1
  • 10
    • 84980167496 scopus 로고
    • Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
    • H.P. McKean, E. Trubowitz, Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points, Comm. Pure Appl. Math. XXIX (1976) 143-226.
    • (1976) Comm. Pure Appl. Math. , vol.29 , pp. 143-226
    • McKean, H.P.1    Trubowitz, E.2
  • 11
    • 84980187488 scopus 로고
    • The inverse problem for periodic potentials
    • E. Trubowitz, The inverse problem for periodic potentials, Comm. Pure Appl. Math. XXX (1977) 321-337.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 321-337
    • Trubowitz, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.