Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind

Avıt ASANOV | Kalıskan MATANOVA

A numerical solution of the system of linear Volterra–Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given.

Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind

Avıt ASANOV | Kalıskan MATANOVA

A numerical solution of the system of linear Volterra-Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given. Keyword: System of linear Volterra-Stieltjes integral equations, second kind, generalized trapezoid rule, numerical solution

Formulas For Solutions Of The Riccati’s Equation = Формулы о рещении уравнений Риккати

Avıt ASANOV

In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them.- На этом работе мы получили формулу для общего решения уравнений Риккати Для общего случае мы получили решений уравнения Риккати. Полученные результаты соответствует классическими результатами.

Formulas for solution of Riccati's equationle

Avıt ASANOV

In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them.

Solving Linear Fredholm-stieltjes Integral Equations Of The Second Kind By Using The Generalized Simpson’s Rule = İkinci tür lineer Fredholm-Stieltjes integral denklemlerinin genelleştirilmiş Simpson kuralı ile çözümü

Avıt ASANOV

In this paper, the generalized Simpson's rule (GSR) is applied to solve linear Fredholm-Stieltjes integral equations of the second kind (LFSIESK). A numerical example is presented to illustrate the method by using Maple. In some cases depending on the number of subintervals “n” , the results are calculated and compared. The graph of these results is plotted. An algorithm of this application is given by using Maple. - Keywords: Approximate Solutions, Linear Fredholm-Stieltjes Integral Equations, Simpson's Rule.

Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule

Avıt ASANOV | Elman HAZAR | Kalıskan MATANOVA

The numerical solution of linear Volterra-Stieltjes integral equations of the second kind by using the generalized trapezoid rule is established and investigated. Also, the conditions on estimation of the error are determined and proved. A selected example is solved employing the proposed method.

Solution Of Linear Volterra – Stieltjes Integral Equation Of The Second Kind Using Generalized Midpoint Rule = İkinci Tip Lineer Volterra-Stieltjes İntegral Denkleminin Genelleşmiş Orta Nokta Kuralı ile Cözümü

Avıt ASANOV

In this study, the numerical solution of linear Volterra – Stieltjes equations of the second kind by using the generalized midpoint rule is established and investigated. The conditions on estimation of the error are determined and proved. One example is solved employing the proposed method.- Keywords: Volterra – Stieltjes integral equation, linear integral equation of the second kind, generalized midpoint rule, error estimation.

Uniqueness and stability of solutions of linear intergral equations of the first kind with two variables

Avıt ASANOV | Mustafa Haluk ÇELİK

In this paper is dedicated to the research of the problem of uniqueness and stability of solutions for linear integral Equations of the first kind with two variables. Here the operator generated by the kernels is not the compact operator.

Uniqueness and Stability of Solutions for Certain Linear Equations of the First Kind With Two Variables = Единственность и устойчивость решений для некоторых интегральных уравнений первого рода с двумя независимыми переменными

Avıt ASANOV

The article is devoted to the study of uniqueness and stability of solutions of linear integral equations of the first kind with two independent variables. The relevance of the problem is due to the needs in development of new approaches for the regularization and uniqueness of the solution of linear integral equations of the first kind with two independent variables. Integral and operator equations of the first kind with two independent variables arise in theoretical and applied problems.Works of A.N. Tikhonov, M.M. Lavrentyev and B.K. Ivanov, in which a new concept of correctness of setting ...Более

One Formula for Solution of the Linear Differential Equations of the Second Order with the Variable Coefficients

Avıt ASANOV | Mustafa Haluk ÇELİK

In this paper we obtained the formula for the common solution of the linear differential equation of the second order with the variable coefficients in the more common case. We also obtained the formula for the solution of the Cauchy problem. © Research India Publications.

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

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].