Nonlinear singular integral equations and equations of convolution type.
Main publications:
Askhabov S. N., “Singular integral equations with monotone nonlinearity in complex Lebesgue spaces”, Z. Anal. Anwendungen, 11:1 (1992), 77–84.
Askhabov S. N., “Integral equations of convolution type with power nonlinearity”, Colloq. Math., 62:1 (1991), 49–65.
Askhabov S. N., Singulyarnye integralnye uravneniya i uravneniya tipa svertki s monotonnoi nelineinostyu, Maikopskii gosudarstvennyi tekhnologicheskii universitet, Maikop, 2004, 388 с.
Askhabov S. N., Nelineinye uravneniya tipa svertki, FIZMATLIT, Moskva, 2009, 304 с.
Askhabov S.N., “Nonlinear convolution integro-differential equation with variable coefficient”, Fractional Calculus and Applied Analysis., 24:3 (2021), 848–864.