Uniqueness of Solution of the Inverse Scattering Problem for Various Order Differential Equation on the Simplest Noncompact Graph with Cycle

被引：1

作者：

Ignatyev, M. Yu. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, 83 Astrakhanskaya Str, Saratov 410012, Russia

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2014年 / 14卷 / 04期

关键词：

quantum graphs; variable orders differential operators; inverse spectral problems; inverse scattering problems;

D O I：

10.18500/1816-9791-2014-14-4-542-549

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An inverse scattering problem is studied for variable orders differential operators on simplest noncompact graph with cycle. A uniqueness theorem of recovering coefficients of operators from the scattering data is provided.

引用

页码：542 / 549

页数：8

共 9 条

[1] THE INVERSE PROBLEM FOR ORDINARY DIFFERENTIAL-OPERATORS ON THE LINE
BEALS, R
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1985, 107 (02) : 281 - 366
[2] Bondarenko N, ARXIV13095360V3
[3] Quantum graphs: I. Some basic structures
Kuchment, P
[J]. WAVES IN RANDOM MEDIA, 2004, 14 (01): : S107 - S128
[4] Langese J, 1994, MODELING ANAL CONTRO
[5] Leont'ev A. F, 1983, TSELYE FUNCTSII RJAD
[6] Pokornyi Y. V., 2004, J MATH SCI NY, V119, P691
[7] Green function for a locally interacting system of ordinary equations of different orders
Pokornyi, YV
Beloglazova, TV
Dikareva, EV
Perlovskaya, TV
[J]. MATHEMATICAL NOTES, 2003, 74 (1-2) : 141 - 143
[8] Recovering Differential Operators on Star-Type Graphs with Different Orders on Different Edges
Yurko, V. A.
[J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2013, 13 (01): : 112 - 116
[9] YURKO VA, 2007, VVEDENIE TEORIYU OBR

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