The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
MSC 2010: 44A35, 35L20, 35J05, 35J25
In this paper are found explicit solutions of four nonlocal boundary value
problems for Laplace, heat and wave equations, with Bitsadze-Samarskii
constraints based on non-classical one-dimensional convolutions. In fact,
each explicit solution may be considered as a way for effective summation
of a solution in the form of nonharmonic Fourier sine-expansion. Each
explicit solution, may be used for numerical calculation of the solutions too.
Иван Хр. Димовски, Юлиан Ц. Цанков - Предложен е метод за намиране на явни решения на клас двумерни уравнения на
топлопроводността с нелокални условия по пространствените променливи. Методът е основан на директно тримерно операционно смятане. Класическата дюамелова конволюция е комбинирана с две некласически конволюции за операторите
∂xx и ∂yy в една тримерна конволюция. Съответното операционно смятане използва мултипликаторни частни. Мултипликаторните частни позволяват да се продължи принципът...
Иван Христов Димовски, Юлиан Цанков Цанков -
Построени са директни операционни смятания за функции u(x, y, t), непрекъснати в област от вида D = [0, a] × [0, b] × [0, ∞). Наред с класическата дюамелова
конволюция, построението използва и две некласически конволюции за операторите ∂2x и ∂2y. Тези три едномерни конволюции се комбинират в една тримерна
конволюция u ∗ v в C(D). Вместо подхода на Я. Микусински, основаващ се на
конволюционни частни, се развива алтернативен подход с използване на мултипликаторните...
Иван Димовски, Юлиан Цанков - Предложено е разширение на принципa на Дюамел. За намиране на явно решение на
нелокални гранични задачи от този тип е развито операционно смятане основано
върху некласическа двумерна конволюция. Пример от такъв тип е задачата на
Бицадзе-Самарски.
An extension
of Duhamel principle, known for evolution equations, is proposed. An operational
calculus approach for explicit solution of these problems is developed. A classical
example of such BVP is the Bitsadze...
Иван Димовски, Юлиан Цанков -
В статията е намерено точно решение на задачата на Бицадзе-Самрски (1) за
уравнението на Лаплас, като е използвано операционно смятане основано на
некласическа двумернa конволюция. На това точно решение може да се гледа
като начин за сумиране на нехармоничния ред по синуси на решението, получен
по метода на Фурие.
In this paper we find an explicit solution of Bitsadze-Samarskii problem for Laplace
equation using operational calculus approach, based on two...
MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05
In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One half of the space conditions are local, and the other are nonlocal. Extensions of Duhamel principle are obtained. In the case when the initial value condition is a local one i.e. of the form u(x1; :::; xn; 0) = f(x1; :::; xn) the problem...
Let Mⁿ be a hypersurface in . We prove that two classical Jacobi curvature operators and commute on Mⁿ, n > 2, for all orthonormal pairs (x,y) and for all points p ∈ M if and only if Mⁿ is a space of constant sectional curvature. Also we consider all hypersurfaces with n ≥ 4 satisfying the commutation relation , where , for all orthonormal tangent vectors x,y,z,w and for all points p ∈ M.
Download Results (CSV)