Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations [PDF]
, 2012 MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In 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
Tsankov, Yulian, Dimovski, Ivan
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Точно решение на задачата на Бицадзе-Самарски [PDF]
, 2010 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
Tsankov, Yulian, Dimovski, Ivan
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Convolutional Calculus of Dimovski and QR-regularization of the Backward Heat Problem [PDF]
, 2015 [Bazhlekova Emilia; Бажлекова Емилия]The final value problem for the heat equation is known to be ill-posed. To deal with this, in the method of quasi-reversibility (QR), the equation or the final value condition is perturbed to form an approximate well ...
Bazhlekova, Emilia
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Orthogonal and Non-orthogonal Multiresolution Analysis, Scale Discrete and Exact Fully Discrete Wavelet Transform on the Sphere [PDF]
, 1998 Based on a new definition of dilation a scale discrete version of spherical multiresolution is described, starting from a scale discrete wavelet transform on the sphere. Depending on the type of application, different families of wavelets are chosen.
Willi Freeden, Michael Schreiner
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Точни решения на нелокални гранични задачи за едно- и двумерни уравнения на топлопроводноста [PDF]
, 2012 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.
Tsankov, Yulian, Dimovski, Ivan
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Operational Rules for a Mixed Operator of the Erdélyi-Kober Type [PDF]
, 2004 2000 Mathematics Subject Classification: 26A33 (main), 44A40, 44A35, 33E30, 45J05, 45D05In the paper, the machinery of the Mellin integral transform is applied to deduce and prove some operational relations for a general operator of the Erdélyi-Kober ...
Luchko, Yury
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On the Dependence of Asymptotics of S-Numbers of Fractional Integration Operators on Weight Functions [PDF]
, 1996 We show that the singular values oe m of the fractional integration operator of order ff ? 0 acting from weighted L 2 spaces of functions defined on the interval (\Gamma1; 1) or (0; 1) may, in both cases, have asymptotics m \Gammaff or m \Gammaff=2 ,
S. Samko, R. Gorenflo
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On the Inversion of the Convolution and Laplace Transform [PDF]
, 2007 We present a new inversion formula for the classical, finite, and asymptotic Laplace transform f of continuous or generalized functions f . The inversion is given as a limit of a sequence of finite linear combinations of exponential functions whose ...
If F L, Boris Bäumer
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Тримерни операционни смятания за нелокални еволюционни гранични задачи [PDF]
, 2011 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, ∞).
Tsankov, Yulian, Dimovski, Ivan
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Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures. [PDF]
Entropy (Basel), 2022 Srivastava HM +3 more
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