On Inverse Sturm-Liouville Problems With Symmetric Potentials
In this paper an inverse problem − y ″ + p x y = λ y y ′ 0 − h y 0 = y ′ 1 + h y 1 = 0 where p are integrable on [0, 1] and satisfy the symmetry conditions p(x) = p(1 − x) almost everywhere in the interval 0 ≤ x ≤ 1. We reconstruct the potential of the inverse Sturm Li...
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| Language: | English |
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EDP Sciences
2017-01-01
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| Series: | ITM Web of Conferences |
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| Online Access: | https://doi.org/10.1051/itmconf/20171301035 |
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doaj-cef983a6df084cecb5a839e0202847032021-02-02T06:17:39ZengEDP SciencesITM Web of Conferences2271-20972017-01-01130103510.1051/itmconf/20171301035itmconf_cmes2017_01035On Inverse Sturm-Liouville Problems With Symmetric PotentialsTuz MünevverIn this paper an inverse problem − y ″ + p x y = λ y y ′ 0 − h y 0 = y ′ 1 + h y 1 = 0 where p are integrable on [0, 1] and satisfy the symmetry conditions p(x) = p(1 − x) almost everywhere in the interval 0 ≤ x ≤ 1. We reconstruct the potential of the inverse Sturm Liouville problem's solution is obtain for finite interval with symmetric potential.https://doi.org/10.1051/itmconf/20171301035Inverse problem symmetric potentialfixed point theoremsecond-order differential equation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tuz Münevver |
| spellingShingle |
Tuz Münevver On Inverse Sturm-Liouville Problems With Symmetric Potentials ITM Web of Conferences Inverse problem symmetric potential fixed point theorem second-order differential equation |
| author_facet |
Tuz Münevver |
| author_sort |
Tuz Münevver |
| title |
On Inverse Sturm-Liouville Problems With Symmetric Potentials |
| title_short |
On Inverse Sturm-Liouville Problems With Symmetric Potentials |
| title_full |
On Inverse Sturm-Liouville Problems With Symmetric Potentials |
| title_fullStr |
On Inverse Sturm-Liouville Problems With Symmetric Potentials |
| title_full_unstemmed |
On Inverse Sturm-Liouville Problems With Symmetric Potentials |
| title_sort |
on inverse sturm-liouville problems with symmetric potentials |
| publisher |
EDP Sciences |
| series |
ITM Web of Conferences |
| issn |
2271-2097 |
| publishDate |
2017-01-01 |
| description |
In this paper an inverse problem
−
y
″
+
p
x
y
=
λ
y
y
′
0
−
h
y
0
=
y
′
1
+
h
y
1
=
0
where p are integrable on [0, 1] and satisfy the symmetry conditions p(x) = p(1 − x) almost everywhere in the interval 0 ≤ x ≤ 1. We reconstruct the potential of the inverse Sturm Liouville problem's solution is obtain for finite interval with symmetric potential. |
| topic |
Inverse problem symmetric potential fixed point theorem second-order differential equation |
| url |
https://doi.org/10.1051/itmconf/20171301035 |
| work_keys_str_mv |
AT tuzmunevver oninversesturmliouvilleproblemswithsymmetricpotentials |
| _version_ |
1724301674466508800 |