Linearized KdV equation on a metric graph

被引：6
|
作者：
Sobirov, Z. A. [1 ,2 ]
Akhmedov, M. I. [2 ]
Karpova, O. V. [3 ,4 ]
Jabbarova, B. [5 ]
机构：
[1] Natl Univ Uzbekistan, Fac Mech & Math, Tashkent 100047, Uzbekistan
[2] Tashkent Financial Inst, Appl Math Dept, Tashkent 100000, Uzbekistan
[3] Natl Univ Uzbekistan, Fac Phys, Tashkent 100047, Uzbekistan
[4] Turin Polytech Univ Tashkent, Tashkent, Italy
[5] Urganch State Univ, Urganch, Uzbekistan
来源：
NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2015年 / 6卷 / 06期
关键词：
KdV; IBVP; PDE on metric graphs; exact solution; third order differential equations;
D O I：
10.17586/2220-8054-2015-6-6-757-761
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
We address a linearized KdV equation on metric star graphs with one incoming finite bond and two outgoing semi-infinite bonds. Using the theory of potentials, we reduce the problem to systems of linear integral equations and show that they are uniquely solvable under conditions of the uniqueness theorem.
引用
收藏
页码：757 / 761
页数：5
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