On a nonlocal boundary value problem for a degenerating second-order hyperbolic equation with a spectral parameter

被引：0
作者：
Nakhusheva, Z. A. [1 ]
机构：
[1] Russian Acad Sci, Res Inst Appl Math & Automat, Kabardino Balkar Sci Ctr, Nalchik, Russia
来源：
DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 10期
关键词：
Spectral Parameter; Volterra Integral Equation; Nonlocal Boundary; Fundamental Relation; Volterra Kernel;
D O I：
10.1134/S0012266111100107
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find necessary and sufficient conditions for the unique solvability of the generalized Darboux problem for a degenerating second-order linear hyperbolic equation of the first kind with two independent variables and with a spectral parameter.
引用
收藏
页码：1468 / 1481
页数：14
相关论文
共 50 条
[41]   Solvability of a nonlocal boundary value problem [J].
Moiseev, EI .
DIFFERENTIAL EQUATIONS, 2001, 37 (11) :1643-1646
[42]   Properties of eigenfunctions of a boundary value problem for ordinary differential equations of fourth-order with boundary conditions depending on the spectral parameter [J].
Aliyev, Ziyatkhan S. ;
Fleydanli, Ayna E. .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 407 :57-83
[43]   ON A BOUNDARY VALUE PROBLEM WITH MATRIX COEFFICIENT WHICH HAS SPECTRAL PARAMETER IN BOUNDARY CONDITION [J].
Akgun, Fatma Aydin ;
Bayramoglu, Mehmet .
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2008, 26 (03) :175-190
[44]   Solvability of a Boundary Value Problem for Elliptic Differential-Operator Equations of the Second Order with a Quadratic Complex Parameter [J].
Aliev, B. A. ;
Kerimov, V. Z. ;
Yakubov, Ya. S. .
DIFFERENTIAL EQUATIONS, 2020, 56 (10) :1306-1317
[45]   Tricomi Problem for Mixed Parabolic-Hyperbolic Equation with Higher Order Boundary Condition [J].
Derbissaly, Bauyrzhan ;
Sadybekov, Makhmud .
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (04)
[46]   Sufficient conditions for the smoothness of the generalized solution of a nonlocal boundary value problem for a higher-order mixed-type equation [J].
G. P. Paskalev .
Differential Equations, 2000, 36 :886-893
[47]   Sufficient conditions for the smoothness of the generalized solution of a nonlocal boundary value problem for a higher-order mixed-type equation [J].
Paskalev, GP .
DIFFERENTIAL EQUATIONS, 2000, 36 (06) :886-893
[48]   A nonlocal boundary value problem for systems of infinite-order partial differential equations [J].
Il'kiv, VS .
DIFFERENTIAL EQUATIONS, 2005, 41 (02) :264-271
[49]   A Nonlocal Boundary Value Problem for Systems of Infinite-Order Partial Differential Equations [J].
V. S. Il’kiv .
Differential Equations, 2005, 41 :264-271
[50]   Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem [J].
A. A. Alikhanov .
Differential Equations, 2013, 49 :796-806
12345