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

页码：1468 / 1481

页数：14

共 50 条

[21] Nonlocal Boundary-Value Problem for a Second-Order Partial Differential Equation in an Unbounded Strip
I. I. Volyanska
V. S. Ilkiv
M. M. Symotyuk
Ukrainian Mathematical Journal, 2019, 70 : 1585 - 1593
[22] Nonlocal Boundary-Value Problem for a Second-Order Partial Differential Equation in an Unbounded Strip
Volyanska, I. I.
Ilkiv, V. S.
Symotyuk, M. M.
UKRAINIAN MATHEMATICAL JOURNAL, 2019, 70 (10) : 1585 - 1593
[23] Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential-Operator Equation with Spectral Parameter in the Equation and a Boundary Condition
Aliev, B. A.
Kerimov, V. Z.
DIFFERENTIAL EQUATIONS, 2020, 56 (02) : 190 - 198
[24] Spectral properties of a nonlocal problem for a second-order differential equation with an involution
L. V. Kritskov
A. M. Sarsenbi
Differential Equations, 2015, 51 : 984 - 990
[25] Linear periodic boundary-value problem for a second-order hyperbolic equation. I
N. G. Khoma
Ukrainian Mathematical Journal, 1998, 50 (11) : 1755 - 1764
[26] Exponential asymptotics of the solution of the second boundary value problem for a second-order parabolic equation with a small parameter
Frolovichev, SM
DIFFERENTIAL EQUATIONS, 2003, 39 (06) : 853 - 864
[27] Exponential Asymptotics of the Solution of the Second Boundary Value Problem for a Second-Order Parabolic Equation with a Small Parameter
S. M. Frolovichev
Differential Equations, 2003, 39 : 853 - 864
[28] Boundary Value Problem for a Second-Order Difference Equation with Resonance
Wang, Zhenguo
Zhou, Zhan
COMPLEXITY, 2020, 2020
[29] Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces
Peiguo Zhang
Fixed Point Theory and Applications, 2011
[30] Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces
Zhang, Peiguo
FIXED POINT THEORY AND APPLICATIONS, 2011,

← 1 2 3 4 5 →