- You can use the 'AND' / 'OR' / 'NOT' option for the things you want to add or remove. - You can return to normal search by pressing the Cancel button.
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.
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.
In this paper we obtained a formula for the general solution for one class of Riccati equation. This formula was tested on the known results. The existence theorem of solution of Cauchy problem is proved. -
Key words: Riccati equation, the general solution, the Cauchy problem
In this paper we are applying a new approach to prove the uniqueness and existence theorems for linear and nonlinear Fredholm integral equations of the third kind.
A new approach is used to show that the solution for one class of systems of linear Fredholm integral equations of the third kind with multipoint singularities is equivalent to the solution of systems of linear Fredholm integral equations of the second kind with additional conditions. The existence, nonexistence, uniqueness, and nonuniqueness of solutions to systems of linear Fredholm integral equations of the third kind with multipoint singularities are analyzed
На основе нового подхода показано, что решение для одного класса систем линейных интегральных уравнений Фредгольма третьего рода с многоточечными особенностями эквивалентно решению систем линейных интегральных уравнений Фредгольма второго рода с дополнительными условиями. Изучены вопросы существования, несуществования, единственности и неединственности решения для систем линейных интегральных уравнений Фредгольма третьего рода с многоточечными особенностями