The differential pencils with turning point on the half line

We investigate the inverse spectral problem of recovering pencils of second-order differential operators on the half-line with turning point. Using the asymptotic distribution of the Weyl function, we give a formulation of the inverse problem and prove the uniqueness theorem for the solution of the...

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Published inArab journal of mathematical sciences Vol. 19; no. 1; pp. 95 - 104
Main Authors Neamaty, A., Khalili, Y.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2013
Subjects
34B07
34D05
34L20
Asymptotic form
Sturm–Liouville
Turning point
Weyl function
Sturm–Liouville
Turning point
Weyl function
34L20
34B07
34D05
Asymptotic form
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Abstract We investigate the inverse spectral problem of recovering pencils of second-order differential operators on the half-line with turning point. Using the asymptotic distribution of the Weyl function, we give a formulation of the inverse problem and prove the uniqueness theorem for the solution of the inverse problem.
AbstractList We investigate the inverse spectral problem of recovering pencils of second-order differential operators on the half-line with turning point. Using the asymptotic distribution of the Weyl function, we give a formulation of the inverse problem and prove the uniqueness theorem for the solution of the inverse problem.
Author Neamaty, A.
Khalili, Y.
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CitedBy_id crossref_primary_10_1080_25742558_2018_1464880
crossref_primary_10_1080_17415977_2013_848436
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Cites_doi 10.1088/0266-5611/13/5/010
10.1007/s10958-008-0160-7
10.1002/mana.19941650114
10.1515/9783110940961
10.1088/0266-5611/10/1/003
10.1006/jdeq.1998.3564
10.1070/SM2000v191n10ABEH000520
10.1016/j.jmaa.2005.06.085
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Issue 1
Keywords Sturm–Liouville
Turning point
Weyl function
34L20
34B07
34D05
Asymptotic form
Language English
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References Yurko (b0050) 2002
Freiling, Yurko (b0015) 1997; 13
Freiling, Yurko (b0020) 1999; 154
Mennicken, Moller (b0030) 2003
Yurko (b0055) 2006; 320
Conway (b0005) 1995
Eberhard, Freiling, Schneider (b0010) 1994; 165
Khruslov, Shepelsky (b0025) 1994; 10
Yurko (b0045) 2000
Yurko (b0060) 2008; 150
Yurko (b0040) 2000; 191
Tamarkin (b0035) 1917
Yurko (10.1016/j.ajmsc.2012.08.003_b0050) 2002
Freiling (10.1016/j.ajmsc.2012.08.003_b0020) 1999; 154
Yurko (10.1016/j.ajmsc.2012.08.003_b0060) 2008; 150
Eberhard (10.1016/j.ajmsc.2012.08.003_b0010) 1994; 165
Freiling (10.1016/j.ajmsc.2012.08.003_b0015) 1997; 13
Mennicken (10.1016/j.ajmsc.2012.08.003_b0030) 2003
Yurko (10.1016/j.ajmsc.2012.08.003_b0055) 2006; 320
Tamarkin (10.1016/j.ajmsc.2012.08.003_b0035) 1917
Conway (10.1016/j.ajmsc.2012.08.003_b0005) 1995
Yurko (10.1016/j.ajmsc.2012.08.003_b0045) 2000
Khruslov (10.1016/j.ajmsc.2012.08.003_b0025) 1994; 10
Yurko (10.1016/j.ajmsc.2012.08.003_b0040) 2000; 191
References_xml – year: 1995
  ident: b0005
  article-title: Functions of One Complex Variable
  contributor:
    fullname: Conway
– year: 2000
  ident: b0045
  article-title: Inverse Spectral Problems for Differential Operators and Their Applications
  contributor:
    fullname: Yurko
– volume: 13
  start-page: 1247
  year: 1997
  end-page: 1263
  ident: b0015
  article-title: Inverse problems for differential equations with turning points
  publication-title: Inverse Problems
  contributor:
    fullname: Yurko
– year: 1917
  ident: b0035
  article-title: On Some Problems of the Theory of Ordinary Linear Differential Equations
  contributor:
    fullname: Tamarkin
– year: 2002
  ident: b0050
  publication-title: Method of Spectral Mappings in the Inverse Problem Theory, Inverse and III-Posed Problems Series
  contributor:
    fullname: Yurko
– volume: 10
  start-page: 1
  year: 1994
  end-page: 37
  ident: b0025
  article-title: Inverse scattering method in electromagnetic sounding theory
  publication-title: Inverse Problems
  contributor:
    fullname: Shepelsky
– volume: 191
  start-page: 1561
  year: 2000
  end-page: 1586
  ident: b0040
  article-title: An inverse problem for pencils of differential operators
  publication-title: Sb. Math.
  contributor:
    fullname: Yurko
– volume: 165
  start-page: 205
  year: 1994
  end-page: 229
  ident: b0010
  article-title: Connection formulas for second-order differential equations with a complex parameter and having an arbitrary number of turning points
  publication-title: Math. Nachr.
  contributor:
    fullname: Schneider
– volume: 154
  start-page: 419
  year: 1999
  end-page: 453
  ident: b0020
  article-title: Inverse spectral problems for differential equations on the half-line with turning points
  publication-title: J. Dif. Eqs.
  contributor:
    fullname: Yurko
– volume: 320
  start-page: 439
  year: 2006
  end-page: 463
  ident: b0055
  article-title: Inverse spectral problems for differential pencils on the half-line with turning points
  publication-title: J. Math. Anal. Appl.
  contributor:
    fullname: Yurko
– volume: 150
  start-page: 2620
  year: 2008
  end-page: 2627
  ident: b0060
  article-title: The inverse problem for pencils of differential operators on the half-line with turning points
  publication-title: J. Math. Sci.
  contributor:
    fullname: Yurko
– year: 2003
  ident: b0030
  article-title: Non-Self-Adjoint Boundary Eigenvalue Problems
  contributor:
    fullname: Moller
– volume: 13
  start-page: 1247
  year: 1997
  ident: 10.1016/j.ajmsc.2012.08.003_b0015
  article-title: Inverse problems for differential equations with turning points
  publication-title: Inverse Problems
  doi: 10.1088/0266-5611/13/5/010
  contributor:
    fullname: Freiling
– volume: 150
  start-page: 2620
  year: 2008
  ident: 10.1016/j.ajmsc.2012.08.003_b0060
  article-title: The inverse problem for pencils of differential operators on the half-line with turning points
  publication-title: J. Math. Sci.
  doi: 10.1007/s10958-008-0160-7
  contributor:
    fullname: Yurko
– year: 1917
  ident: 10.1016/j.ajmsc.2012.08.003_b0035
  contributor:
    fullname: Tamarkin
– volume: 165
  start-page: 205
  year: 1994
  ident: 10.1016/j.ajmsc.2012.08.003_b0010
  article-title: Connection formulas for second-order differential equations with a complex parameter and having an arbitrary number of turning points
  publication-title: Math. Nachr.
  doi: 10.1002/mana.19941650114
  contributor:
    fullname: Eberhard
– year: 2003
  ident: 10.1016/j.ajmsc.2012.08.003_b0030
  contributor:
    fullname: Mennicken
– year: 2000
  ident: 10.1016/j.ajmsc.2012.08.003_b0045
  contributor:
    fullname: Yurko
– year: 2002
  ident: 10.1016/j.ajmsc.2012.08.003_b0050
  doi: 10.1515/9783110940961
  contributor:
    fullname: Yurko
– volume: 10
  start-page: 1
  year: 1994
  ident: 10.1016/j.ajmsc.2012.08.003_b0025
  article-title: Inverse scattering method in electromagnetic sounding theory
  publication-title: Inverse Problems
  doi: 10.1088/0266-5611/10/1/003
  contributor:
    fullname: Khruslov
– volume: 154
  start-page: 419
  year: 1999
  ident: 10.1016/j.ajmsc.2012.08.003_b0020
  article-title: Inverse spectral problems for differential equations on the half-line with turning points
  publication-title: J. Dif. Eqs.
  doi: 10.1006/jdeq.1998.3564
  contributor:
    fullname: Freiling
– volume: 191
  start-page: 1561
  year: 2000
  ident: 10.1016/j.ajmsc.2012.08.003_b0040
  article-title: An inverse problem for pencils of differential operators
  publication-title: Sb. Math.
  doi: 10.1070/SM2000v191n10ABEH000520
  contributor:
    fullname: Yurko
– volume: 320
  start-page: 439
  year: 2006
  ident: 10.1016/j.ajmsc.2012.08.003_b0055
  article-title: Inverse spectral problems for differential pencils on the half-line with turning points
  publication-title: J. Math. Anal. Appl.
  doi: 10.1016/j.jmaa.2005.06.085
  contributor:
    fullname: Yurko
– year: 1995
  ident: 10.1016/j.ajmsc.2012.08.003_b0005
  contributor:
    fullname: Conway
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Snippet We investigate the inverse spectral problem of recovering pencils of second-order differential operators on the half-line with turning point. Using the...
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SubjectTerms 34B07
34D05
34L20
Asymptotic form
Sturm–Liouville
Turning point
Weyl function
Title The differential pencils with turning point on the half line
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