Ambarzumyan’s theorem for the quasi-periodic boundary conditions

Kıraç, Alp Arslan

doi:10.1007/s13324-015-0118-0

Cited by 9 publications

(5 citation statements)

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“…More precisely, the aim of this paper is to weaken slightly the conditions in Theorem 1.1 and Theorem 1.2 for the first eigenvalue (see Theorem 1.3) and to prove a new generalization of Ambarzumyan theorem. We also extend Theorem 1.1 of the previous paper [9].…”

Section: Introductionsupporting

confidence: 73%

Some Improvements of Ambarzumyan’s Theorem

Kıraç¹

2018

AAN

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Section: Introductionsupporting

confidence: 73%

Some Improvements of Ambarzumyan’s Theorem

Kıraç¹

2018

AAN

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“…More precisely, the aim of this paper is to weaken slightly the conditions in Theorem 1 and Theorem 2 for the first eigenvalue (see Theorem 3) and to prove a new generalization of Ambarzumyan's theorem, without using any additional conditions on the potential. We also extend Theorem 1 of the previous paper [9].…”

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confidence: 75%

A new Improvement of Ambarzumyan's Theorem

Kiraç

2016

Preprint

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“…This theorem is called Ambarzumyan , s theorem, and has been generalized in many directions. Without a claim to completeness we mention here the papers [2][3][4][5][6][7][8][9][11][12][13], etc. In particular, the most recent paper [13] extended the Ambarzumyan , s theorem for the classical Sturm-Liouville operator to the scalar impulsive Sturm-Liouville operator with Neumann conditions.…”

Section: Introductionmentioning

confidence: 99%

School of Teacher, Nanjing Xiao Zhuang University, Nanjing, 210000, China

Wang¹

2017

Advances in Psychological Science

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The nuclide 14 C can be produced in the atmosphere by high energy particles and γ-rays from high-energy phenomena. Through the carbon cycle, some of 14 CO 2 produced in the atmosphere can be retained in annual tree rings 1, 2 . Four events of rapid increase of the 14 C content occurred in AD 775, AD 994, BC 660 and BC 3371 were found 3-6 . Recently, the data of Jull et al. (2020) was inconsistent with our records around BC 3371. We measured our sample again and found the 14 C records are consistent with the value in Wang et al. (2017). Therefore, our 14 C records are robust. The inconsistency may be caused by the difference of calendar ages for the wood samples, or the physical origin of the event. First, crossdating on ring width can be performed only between trees whose growth has the same environmental conditions. Because the master tree-ring for dendrochronology is lack for Chinese trees. The master tree-ring from California has to be used. Therefore, the calendar ages derived from dendrochronology may be not precise. Second, the 14 C even may be not global. One evidence

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Ambarzumyan’s theorem for the quasi-periodic boundary conditions

Abstract: We obtain the classical Ambarzumyan's theorem for the Sturm-Liouville operators L t (q) with q ∈ L 1 [0, 1] and quasi-periodic boundary conditions, t ∈ [0, 2π), when there is not any additional condition on the potential q.

Cited by 9 publications

References 11 publications

Some Improvements of Ambarzumyan’s Theorem

Some Improvements of Ambarzumyan’s Theorem

A new Improvement of Ambarzumyan's Theorem

School of Teacher, Nanjing Xiao Zhuang University, Nanjing, 210000, China

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