Academic Journal
The nonlocal problem for a non-stationary third order composite type equation with general boundary condition
| العنوان: | The nonlocal problem for a non-stationary third order composite type equation with general boundary condition |
|---|---|
| المؤلفون: | Abdukomil Risbekovich Khashimov |
| المصدر: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 24, Iss 1, Pp 187-198 (2020) |
| بيانات النشر: | Samara State Technical University, 2020. |
| سنة النشر: | 2020 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | non-stationary equations, fundamental solutions, boundary value problem, potential theory, energy integral method, third order equations, composite type equations, system of integral equations, nonlocal problem, Mathematics, QA1-939 |
| الوصف: | We consider a nonlocal boundary value problem for non-stationary composite type equation of the third order. The values of function and its derivatives up to the second order on the boundary are given as a linear combination. The initial conditions are nonlocal. We prove the unique solvability for this problem. In proving the problem solution uniqueness we use the method of energy integrals and the theory of quadratic forms. For the problem solution construction we use the potential theory and Volterra integral equations. Some asymptotic properties of the fundamental solutions of the equation are studied. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English Russian |
| تدمد: | 1991-8615 2310-7081 |
| Relation: | https://journals.eco-vector.com/1991-8615/article/viewFile/41985/28007; https://doaj.org/toc/1991-8615; https://doaj.org/toc/2310-7081 |
| DOI: | 10.14498/vsgtu1657 |
| URL الوصول: | https://doaj.org/article/970534b64a9b4773a9b2d50a380ac61d |
| رقم الانضمام: | edsdoj.970534b64a9b4773a9b2d50a380ac61d |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 19918615 23107081 |
|---|---|
| DOI: | 10.14498/vsgtu1657 |