A class of systems of linear Fredholm integral equations of the third kind

Avıt ASANOV

On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation

Asan ÖMÜRALİEV | Ramiz RAFATOV

For the singularly perturbed parabolic problem, a regularized asymptotics of the solution of the problem of optimal control was constructed. The solution asymptotics involves parabolic boundary-layer functions obeying a special function called the “complementary probability integral.

Об асимптотике решения одной задачи оптимального управления параболическим уравнением с малым параметром = On the Asymptotics of the Solution of an Optimal Control Problem for a Parabolic Equation with Small Parameter

Asan ÖMÜRALİEV | Ramiz RAFATOV

Cтроится регуляризованная асимптотика решения задачи оптимальногоуправления для сингулярно возмущенной параболической задачи. Асимптотика решения такой задачи содержит параболические погранслойные функции, описываемые специальной функцией, называемой “дополнительным интегралом вероятности”.

Об одном классе систем линейных интегральных уравнений Фредгольма третьего рода

Avıt ASANOV

Approximating the Stieltjes integral by using the generalized trapezoid rule

Avıt ASANOV | Mustafa Haluk ÇELİK

Accurate approximations for the Stieltjes integral by the generalized trapezoid rule. The generalized trapezoid rule is established on the basis of the derivative of function with respect to strictly increasing function, defined in [9].

Approximating the Stieltjes Integral Using the Generalized Midpoint Rule

Avıt ASANOV | Mustafa Haluk ÇELİK

Accurate approximations for the Stieltjes integral by the generalized midpoint rule. The generalized midpoint rule is established on the notion of the derivative of function with respect to the strictly increasing function defined in [9]. Keywords: Stieltjes integral; generalired midpoint rule; the derivative of the function with respect to the strictly increasing function; generalized formula of Taylor. 2010 Mathematics Subject Classification 26D15; 26A42.