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Volume 13, Issue 1 (2021), Pages [1] - [97]

A CLASS OF SYSTEMS OF LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE THIRD KIND WITH MULTIPOINT SINGULARITIES IN THE SEMIAXIS 

[1] A. S. Apartsyn, Nonclassical Linear Volterra Equations of the First Kind, Utrecht-Boston, The Netherlands: VSP, 2003, 168 p.

 

[2] A. Asanov, Regularization Uniqueness and Existence of Solutions of Volterra Equations of the First Kind, Utrecht, The Netherlands: VSP, 1998, 282 p.

 

[3] Avyt Asanov, Kalyskan B. Matanova and Ruhidin Asanov, A class of linear and nonlinear Fredholm integral equations of the third kind, Kuwait Journal of Science 44(1) (2017), 17-28.

 

[4] A. L. Bukhgeim, Volterra Equations and Inverse Problems, Utrecht, The Netherlands: VSP, 1999, 204 p.

 

[5] A. M. Denisov, Elements of the Theory of Inverse Problems, Utrecht-Boston, The Netherlands: VSP, 1999, 272 p.

 

[6] M. I. Imanaliev and A. Asanov, Solutions of systems of nonlinear Volterra integral equations of the first kind, Doklady Akademii Nauk SSSR 309(5) (1989), 1052-1055. (in Russian)

 

[7] M. I. Imanaliev and A. Asanov, Regularization and uniqueness of solutions to systems of nonlinear Volterra integral equations of the third kind, Doklady Mathematics 76(1) (2007), 490-493.

 

DOI: https://doi.org/10.1134/S1064562407040035

 

[8] M. I. Imanaliev and A. Asanov, Solutions to systems of linear Fredholm integral equations of the third kind, Doklady Mathematics 81(1) (2010), 115-118.

 

DOI: https://doi.org/10.1134/S1064562410010321

 

[9] M. I. Imanaliev, A. Asanov and R. A. Asanov, A class of systems of linear Fredholm integral equations of the third kind, Doklady Mathematics 83(2) (2011), 227-231.

 

DOI: https://doi.org/10.1134/S1064562411020293

 

[10] M. I. Imanaliev, A. Asanov and R. A. Asanov, Solutions to systems of linear Fredholm integral equations of the third kind with multipoint singularities, Doklady Mathematics 95(3) (2017), 235-239.

 

DOI: https://doi.org/10.1134/S1064562417030140

 

[11] Ismat Beg, A. Saha, Anamika Ganguly and Debashis Dey, Random fixed point of Gregus mapping and its application to nonlinear stochastic integral equations, Kuwait Journal of Science 41(2) (2014), 1-14.

 

[12] M. M. Lavrent’ev, The integral equations of the first kind, Doklady Akademii Nauk SSSR 127(1) (1959), 31-33. (in Russian)

 

[13] M. M. Lavrent’ev, V. G. Romanov and S. P. Shishatskii, Ill-Posed Problems of Mathematical Physics and Analysis, Providence, R. I. American Mathematical Society, 1986.

 

[14] S. P. Shishatskii, A. Asanov and E. R. Atamanov, Uniqueness Problems for Degenerating Equations and Nonclassical Problems, Utrecht-Boston, The Netherlands: VSP, 2001, 178 p.