Results 1 to 10 of about 9,053 (252)
On an Approximate Solution of the Cauchy Problem for Systems of Equations of Elliptic Type of the First Order [PDF]
Entropy, 2022 In this paper, on the basis of the Carleman matrix, we explicitly construct a regularized solution of the Cauchy problem for the matrix factorization of Helmholtz’s equation in an unbounded two-dimensional domain.
Davron Aslonqulovich Juraev +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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Inhomogeneous conformable abstract Cauchy problem
Open Mathematics, 2021 In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given.
Rabhi Lahcene +2 more
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Localized Method of Fundamental Solutions for Two-Dimensional Inhomogeneous Inverse Cauchy Problems
Mathematics, 2022 Due to the fundamental solutions are employed as basis functions, the localized method of fundamental solution can obtain more accurate numerical results than other localized methods in the homogeneous problems.
Junli Zhang +3 more
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On the Cauchy problem generalization
Lietuvos Matematikos Rinkinys, 1998 An algorithm presented in the paper is oriented for computer realization.
Zenonas Navickas
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On solvability of boundary value problem for a nonlinear Fredholm integro-differential equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper proposes a constructive method to solve a nonlinear boundary value problem for a Fredholm integro-differential equation. Using D.S. Dzhumabaev parametrization method, the problem under consideration is transformed into an equivalent boundary ...
A.T. Assanova +3 more
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Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In this work we study the effect of time finiteness of the existence of Cauchy problem for nonlinear Schrödinger equation solution. Together with the ill-posed Cauchy problem we consider its neighborhood in the space of operators, representing Cauchy ...
Vsevolod Zhanovich Sakbaev
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
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Singularly perturbed linear oscillator with piecewise-constant argument
Вестник КазНУ. Серия математика, механика, информатика, 2018 The Cauchy problem for singularly perturbed linear differential equation the second order with piecewise-constant argument is considered in the article.
M. U. Akhmet +3 more
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