Results 21 to 30 of about 9,353 (157)
On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power m is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.
E. A. Maksimova
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Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients
Современная математика: Фундаментальные направления, 2021 In this paper, the Pfaff equations with continuous coefficients are considered. Analogs of Peano’s existence theorem and Kamke’s theorem on the uniqueness of the solution to the Cauchy problem are established, and a method for the approximate solution of
A. A. Abduganiev +2 more
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Electronic Journal of Differential Equations, 2009 This article presents a global version of the main theorem by Baouendi and Goulaouic cite{bago}, in the space of differentiable functions with respect to Fuchsian variable, and holomorphic with respect to other variables.
Malika Belarbi, Mustapha Mechab
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International Journal of Mathematics and Mathematical Sciences, 1982 A family C of filters on a set X is uniformizable if there is a uniformity on X such that C is its collection of Cauchy filters. Using the theory of completions and Cauchy continuous maps for Cauchy spaces, we obtain characterizations of uniformizable ...
Eva Lowen-Colebunders
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Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem
Universal Journal of Mathematics and Applications, 2020 In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
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Electronic Journal of Differential Equations, 2016 In this article we consider the Robin-Cauchy problem for multidimensional elliptic equations in a cylindrical domain. The method of spectral expansion in eigenfunctions of the Robin-Cauchy problem for equations with deviating argument establishes a ...
Berikbol T. Torebek
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The Cauchy problem for singularly perturbed higher-order integro-differential equations
Вестник КазНУ. Серия математика, механика, информатика, 2019 The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameter at the highest derivatives, provided that the roots of additional characteristic equation have ...
A. E. Mirzakulova +3 more
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Cauchy problem for the hyperbolic system with mixed derivative
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Cauchy problem for the hyperbolic system with mixed derivative is considered. The given system is transformed to the triangular or diagonal form for the further equations separation.
E. A. Kozlova
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Журнал Белорусского государственного университета: Математика, информатика, 2018 The Cauchy problem for stochastic differential system with measures is considered in the paper. Finite-difference with averaging system of stochastic differential equations with correspondence to Cauchy problem is investigated.
Artsiom Y. Rusetski
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On the approximate solution of the Cauchy problem for the Helmholtz equation on the plane [PDF]
Computational Algorithms and Numerical DimensionsIn this paper, approximate solutions of the Cauchy problem for the Helmholtz equation on a two-dimensional bounded region are found. The problem under consideration belongs to the problems of mathematical physics, in which there is no continuous ...
Davron Juraev +3 more
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