Approximation Schemes for the Boundary-Value Problems for Integrodifferential Equations with Delay

被引：0

作者：

Dorosh A.B. ^{[1
]}

Tuzyk I.I. ^{[1
]}

Cherevko I.M. ^{[1
]}

机构：

[1] Yu. Fed’kovych Chernivtsi National University, Kotsubyns’kyi Str., 2, Chernivtsi

来源：

Journal of Mathematical Sciences | 2024年 / 278卷 / 6期

关键词：

D O I：

10.1007/s10958-024-06974-9

中图分类号：

学科分类号：

摘要：

We investigate sufficient conditions for the existence and uniqueness of solutions to the boundary-value problems for integrodifferential equations with many delays. We propose and substantiate an iterative approximation scheme for the boundary-value problem with delay by a boundary-value problem for a system of ordinary differential equations. © Springer Nature Switzerland AG 2024.

引用

页码：963 / 973

页数：10

共 50 条

[1] Boundary-Value Problems for Systems of Integrodifferential Equations
Boichuk O.A.
Holovats’ka I.A.
[J]. Journal of Mathematical Sciences, 2014, 203 (3) : 306 - 321
[2] Averaging in Boundary-Value Problems for Systems of Differential and Integrodifferential Equations
A. N. Stanzhitskii
S. T. Mynbayeva
N. A. Marchuk
[J]. Ukrainian Mathematical Journal, 2020, 72 : 277 - 301
[3] Averaging in Boundary-Value Problems for Systems of Differential and Integrodifferential Equations
Stanzhitskii, A. N.
Mynbayeva, S. T.
Marchuk, N. A.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2020, 72 (02) : 277 - 301
[4] Boundary-Value Problems with Initial Jumps for Singularly Perturbed Integrodifferential Equations
Dauylbaev M.K.
Mirzakulova A.E.
[J]. Journal of Mathematical Sciences, 2017, 222 (3) : 214 - 225
[5] Asymptotic Behavior of the Solutions of Boundary-Value Problems for Singularly Perturbed Integrodifferential Equations
Dauylbayev, M. K.
Uaissov, A. B.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2020, 71 (11) : 1677 - 1691
[6] On the Unique Solvability of the Boundary-Value Problems for Fredholm Integrodifferential Equations with Degenerate Kernel
Dzhumabaev D.S.
Bakirova É.A.
[J]. Journal of Mathematical Sciences, 2017, 220 (4) : 440 - 460
[7] Asymptotic Behavior of the Solutions of Boundary-Value Problems for Singularly Perturbed Integrodifferential Equations
M. K. Dauylbayev
A. B. Uaissov
[J]. Ukrainian Mathematical Journal, 2020, 71 : 1677 - 1691
[8] BOUNDARY-VALUE PROBLEMS FOR EQUATIONS
WOLFERSD.LV
[J]. MATHEMATISCHE NACHRICHTEN, 1972, 54 (1-6) : 1 - 20
[9] Necessary and Sufficient Conditions for the Solvability of Linear Boundary-Value Problems for the Fredholm Integrodifferential Equations
Dzhumabaev, D. S.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2015, 66 (08) : 1200 - 1219
[10] Boundary-Value Problems with Control for Fredholm Integrodifferential Equations with Degenerate Kernel in Banach Spaces
Zhuravlev V.
Honhalo N.
Slusarenko I.
[J]. Journal of Mathematical Sciences, 2024, 279 (3) : 343 - 362

← 1 2 3 4 5 →