Integro-Differential equations with variational derivatives generated by nonlinear random partial integral equations

被引：0

作者：

Romanovski, Iouri V. ^{[1
]}

Yanovich, Leonid. A. ^{[2
]}

机构：

[1] Faculty of Applied Mathematics and Computer Science, Belarus State University, Nezalezhnastsi 4, Minsk, Belarus

[2] Institute of Mathematics, National Academy of Sciences of Belarus, Surhanava 11, Minsk, Belarus

来源：

International Journal of Applied Mathematics and Statistics | 2007年 / 12卷 / DO7期

关键词：

Nonlinear equations - Integrodifferential equations;

D O I：

暂无

中图分类号：

O172 [微积分];

学科分类号：

摘要：

Integro-partial differential equations with variational derivatives, that are generated by random partial integral equations of second kind with power-law non-linearity, are considered. Solution existence and uniqueness is investigated and illustrative examples of such equations are given. © 2007 by IJAMAS, CESER.

引用

页码：101 / 111

共 50 条

[1] Integro-Differential Equations with Variational Derivatives Generated by Nonlinear Random Partial Integral Equations
Romanovski, Iouri V.
Yanovich, Leonid. A.
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2007, 12 (D07): : 101 - 111
[2] Integro-differential equations for the characteristic functional that are generated by a system of random integral equations
Romanovski, I. V.
Yanovich, L. A.
DIFFERENTIAL EQUATIONS, 2008, 44 (09) : 1269 - 1280
[3] Integro-differential equations for the characteristic functional that are generated by a system of random integral equations
I. V. Romanovski
L. A. Yanovich
Differential Equations, 2008, 44 : 1269 - 1280
[4] On the Ulam stabilities of nonlinear integral equations and integro-differential equations
Tunc, Osman
Tunc, Cemil
Petrusel, Gabriela
Yao, Jen-Chih
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (06) : 4014 - 4028
[5] On a class of linear integro-differential equations in variational derivatives
Yu. V. Romanovskii
L. A. Yanovich
Differential Equations, 2006, 42 : 1283 - 1290
[6] On a class of linear integro-differential equations in variational derivatives
Romanovskii, Yu. V.
Yanovich, L. A.
DIFFERENTIAL EQUATIONS, 2006, 42 (09) : 1283 - 1290
[7] The variational iteration method for solving linear and nonlinear Volterra integral and integro-differential equations
Wazwaz, Abdul-Majid
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (05) : 1131 - 1141
[8] Nonlinear Integro-Differential Equations
Mahdavi, S.
Kajani, M. Tavassoli
JOURNAL OF MATHEMATICAL EXTENSION, 2010, 4 (02) : 107 - 117
[9] On the Nonlinear Integro-Differential Equations
Li, Chenkuan
Beaudin, Joshua
FRACTAL AND FRACTIONAL, 2021, 5 (03)
[10] Equations of partial derivatives and integro-differential linear equations of an infinity of variables.
Pomey, L
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1926, 183 : 642 - 645

← 1 2 3 4 5 →