A Modified Cauchy Problem With Nonlocal Boundary Condition for a Degenerate Hyperbolic Equation

被引：0

作者：

Kakharman, N. ^{[1
,2
,3
]}

Kalmenov, T. sh. ^{[1
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan

[2] SDU Univ, Fac Engn & Nat Sci, Kaskelen, Kazakhstan

[3] Al Farabi Kazakh Natl Univ, Fac Mech & Math, Alma Ata, Kazakhstan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年

关键词：

hyperbolic equation with characteristic degeneration; modified Cauchy problem; nonlocal boundary condition;

D O I：

10.1002/mma.10800

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new class of initial-boundary value problems with nonlocal conditions on the Newton potential for the case of a hyperbolic equation with characteristic degeneration were set and studied. The a priori estimates of Sobolev norms for the solutions are established. Moreover, some estimates for the standard Bessel functions were established.

引用

页数：7

共 50 条

[1] Inverse Problem for Degenerate Parabolic-Hyperbolic Equation with Nonlocal Boundary Condition
Sabitov, K. B.
Sidorov, S. N.
RUSSIAN MATHEMATICS, 2015, 59 (01) : 39 - 50
[2] On the nonlocal problem for the degenerate hyperbolic equation
Pulkina, L.
Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 76 (Suppl 2):
[3] On the nonlocal problem for the degenerate hyperbolic equation
Pulkina, L
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 647 - 648
[4] A nonlocal problem for degenerate hyperbolic equation
Repin O.A.
Kumykova S.K.
Russian Mathematics, 2017, 61 (7) : 43 - 48
[5] Modified Cauchy Problem for one Degenerate Hyperbolic Equation of the Second Kind
Urinov, A. K.
Okboev, A. B.
UKRAINIAN MATHEMATICAL JOURNAL, 2020, 72 (01) : 114 - 135
[6] Modified Cauchy Problem for one Degenerate Hyperbolic Equation of the Second Kind
A. K. Urinov
A. B. Okboev
Ukrainian Mathematical Journal, 2020, 72 : 114 - 135
[7] Mixed Cauchy problem with lateral boundary condition for noncharacteristic degenerate hyperbolic equations
Nurbek Kakharman
Tynysbek Kal’menov
Boundary Value Problems, 2022
[8] Mixed Cauchy problem with lateral boundary condition for noncharacteristic degenerate hyperbolic equations
Kakharman, Nurbek
Kal'menov, Tynysbek
BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
[9] CERTAIN NONLOCAL PROBLEM FOR A DEGENERATE HYPERBOLIC EQUATION
PULKINA, LS
MATHEMATICAL NOTES, 1992, 51 (3-4) : 280 - 290
[10] A modified Cauchy problem for an inhomogeneous equation of degenerate hyperbolic type of the second kind
Urinov, A. K.
Okboev, A. B.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2024, 28 (01):

← 1 2 3 4 5 →