Mixed value problem for nonlinear integro-differential equation with parabolic operator of higher power

被引：10

作者：

Yuldashev, T. K. ^{[1
]}

机构：

[1] SibSAU, Krasnoyarsk 660014, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 01期

关键词：

parabolic operator of higher power; Fourier series; integral identity; generalized derivatives; countable system of nonlinear integral equations; method of successive approximations;

D O I：

10.1134/S0965542512010150

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the questions of one-valued solvability of mixed value problem for nonlinear integro-differential equation, consisting a parabolic operator of higher power. By the aid of Fourier series of separation variables the considering problem we can reduce to study the countable system of nonlinear integral equations, one-valued solvability of which will be proved by the method of successive approximations. The convergence of Fourier series will be studied by means of integral identity.

引用

页码：105 / 116

页数：12

共 50 条

[1] Mixed value problem for nonlinear integro-differential equation with parabolic operator of higher power
T. K. Yuldashev
Computational Mathematics and Mathematical Physics, 2012, 52 : 105 - 116
[2] Mixed Problem for an Impulsive Parabolic Integro-Differential Equation with Involution and Nonlinear Conditions
Abdullozhonova, A. N.
Yuldashev, T. K.
Fayziyev, A. K.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2024, 45 (03) : 899 - 911
[3] INITIAL VALUE PROBLEM FOR A NONLINEAR SINGULAR INTEGRO-DIFFERENTIAL EQUATION
张领海
ActaMathematicaScientia, 1994, (03) : 261 - 271
[4] PERIODIC BOUNDARY VALUE PROBLEM FOR NONLINEAR INTEGRO-DIFFERENTIAL EQUATION OF MIXED TYPE ON TIME SCALES
Valery G.Romanovski
Annals of Applied Mathematics, 2009, (02) : 195 - 207
[5] On solvability of boundary value problem for a nonlinear Fredholm integro-differential equation
Assanova, A. T.
Zhumatov, S. S.
Mynbayeva, S. T.
Karakenova, S. G.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022, 105 (01): : 25 - 34
[6] An inverse problem for a parabolic variational inequality with an integro-differential operator
Achdou, Yves
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (02) : 733 - 767
[7] Finite element method for a nonlinear parabolic integro-differential equation in higher spatial dimensions
Sharma, Nisha
Sharma, Kapil K.
APPLIED MATHEMATICAL MODELLING, 2015, 39 (23-24) : 7338 - 7350
[8] Mixed Value Problem for a Nonlinear Differential Equation of Fourth Order with Small Parameter on the Parabolic Operator
Yuldashev, T. K.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (09) : 1596 - 1604
[9] Mixed value problem for a nonlinear differential equation of fourth order with small parameter on the parabolic operator
T. K. Yuldashev
Computational Mathematics and Mathematical Physics, 2011, 51 : 1596 - 1604
[10] About one special boundary value problem for multidimensional parabolic integro-differential equation
Khairullin, Ermek
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759

← 1 2 3 4 5 →