Results 11 to 20 of about 5,520,045 (177)
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 In this paper we consider the Goursat problem for the two-dimensional system of high order. The purpose is to find sufficient conditions of solvability of the considered problem in quadratures.
Elena A Sozontova
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On the Goursat problem for a second order equation [PDF]
Electronic Journal of Differential Equations, 2002 We consider the Goursat problem for second order operators and show existence and uniqueness of smooth solutions. We prove one of the results of Hasegawa (J. Math. Soc. Japan 50 (1998), no. 3, 639--662) by the energy method.
Shigeo Tarama
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Solutionsof Fuzzy Goursat Problems with Generalized Hukuhara (gH)-Differentiability Concept
AxiomsIn this manuscript, we will discuss the solutions of Goursat problems with fuzzy boundary conditions involving gH-differentiability. The solutions to these problems face two main challenges.
Noor Jamal +5 more
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Generalized solutions to a non-Lipschitz Goursat problem [PDF]
Differential Equations & Applications, 2009 In this paper we investigate solutions to the semi-linear wave equation in canonical form with non Lipschitz non-linearity and distributions or other generalized functions as data. To give a meaning to the Goursat problem with irregular data, we replace it by a biparametric family of problems.
Devoue, Victor
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Lightweight Curvature Estimation on Point Clouds with Randomized Corrected Curvature Measures
Computer Graphics Forum, Volume 42, Issue 5, August 2023., 2023 Abstract The estimation of differential quantities on oriented point cloud is a classical step for many geometry processing tasks in computer graphics and vision. Even if many solutions exist to estimate such quantities, they usually fail at satisfying both a stable estimation with theoretical guarantee, and the efficiency of the associated algorithm ...
J.‐O. Lachaud +4 more
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CHARACTERISTIC PROBLEM FOR THE LOADED WAVE EQUATION WITH SPECIFIC CHANGES [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015 In this paper the characteristic problem for the wave equation loaded with a special shift. A theorem on the uniqueness of the solution of the Goursat problem and find necessary conditions for its solvability.
A.Kh. Attaev
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Monodromy of four‐dimensional irreducible compatible systems of Q$\mathbb {Q}$
Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1773-1790, August 2023., 2023 Abstract Let F$F$ be a totally real field and n⩽4$n\leqslant 4$ a natural number. We study the monodromy groups of any n$n$‐dimensional strictly compatible system {ρλ}λ$\lbrace \rho _\lambda \rbrace _\lambda$ of λ$\lambda$‐adic representations of F$F$ with distinct Hodge–Tate numbers such that ρλ0$\rho _{\lambda _0}$ is irreducible for some λ0$\lambda ...
Chun Yin Hui
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Numerical Solution Of The Goursat Problem. [PDF]
, 2004 The Goursat problem, associated with hyperbolic partial differential equations, arises in several areas of applications.
Talib, Abdullah Zawawi +2 more
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Soil Deformation around a Cylindrical Cavity under Drained Conditions: Theoretical Analysis
Advances in Civil Engineering, Volume 2022, Issue 1, 2022., 2022 This paper proposes analytical solutions to the soil deformation around a cylindrical cavity under drained conditions. Analytical procedures are used to predict the degree of interaction between cavities and ground surface loads based on mathematical theorems.
Pieride Mabe Fogang +4 more
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The Goursat-type problem for a hyperbolic equation and system of third order hyperbolic equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 In the first part of this study, the well-posed Goursat-type problem is considered for the hyperbolic differential equation of the third order with non-multiple characteristics.
Aleksandr Anatol'evich Andreev +1 more
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