On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread

被引：0

作者：

A. Kh. Khachatryan

Kh. A. Khachatryan

机构：

[1] Armenian National Agrarian University,

[2] Institute of Mathematics of National Academy of Sciences of the Republic of Armenia,undefined

来源：

Proceedings of the Steklov Institute of Mathematics | 2019年 / 306卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study some classes of convolution-type nonlinear integral equations that are directly related to the problems of geographic spread of epidemic diseases. Under various constraints on the nonlinearity and the kernel of the equation, we prove existence theorems for monotonic and bounded solutions. We also present specific examples of application of these equations.

引用

页码：271 / 287

页数：16

共 50 条

[31] SOLVABILITY OF SOME NONLINEAR EQUATIONS WITH DISCONTINUOUS OPERATORS
PAVLENKO, VN
DOKLADY AKADEMII NAUK SSSR, 1972, 204 (06): : 1320 - +
[32] Solvability of Some Singular Integral Equations on the Circle with the Shift
Kamalyan, A. G.
Sargsyan, A. V.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2011, 46 (03): : 142 - 156
[33] SOLVABILITY FOR SOME NONLINEAR OPERATOR-EQUATIONS
YAO, FY
CHINESE SCIENCE BULLETIN, 1992, 37 (06): : 448 - 451
[34] ON THE SOLVABILITY OF SOME NONLINEAR DIFFERENTIAL-EQUATIONS
SUKHININ, MF
DIFFERENTIAL EQUATIONS, 1994, 30 (06) : 992 - 999
[35] Solvability of some inverse problems for parabolic equations
Pyatkov, S.G.
Journal of Inverse and Ill-Posed Problems, 2004, 12 (04): : 397 - 412
[36] On the Solvability of Spatially Non local Problems with Conditions of Integral Form for Some Classes of Nonstationary Equations
Kozhanov, A. I.
DIFFERENTIAL EQUATIONS, 2015, 51 (08) : 1043 - 1050
[37] SOME SINGULAR, NONLINEAR, INTEGRAL-EQUATIONS ARISING IN PHYSICAL PROBLEMS
LERCHE, I
QUARTERLY OF APPLIED MATHEMATICS, 1986, 44 (02) : 319 - 326
[38] On the solvability of nonlinear singular integral equations with Cauchy kernel on an interval
Amer, S. M.
Nagdy, A. S.
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2007, 50 (04): : 283 - 294
[39] Solvability of Hammerstein Integral Equations with Applications to Boundary Value Problems
Bugajewska, Daria
Infante, Gennaro
Kasprzak, Piotr
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2017, 36 (04): : 393 - 417
[40] Existence of positive pseudo-almost-periodic solution for some nonlinear infinite delay integral equations arising in epidemic problems
Dads, EA
Ezzinbi, K
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (1-2) : 1 - 13

← 1 2 3 4 5 →