Results 41 to 50 of about 9,353 (157)

A note on the abstract cauchy problem

Semigroup Forum, 1997
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Eidelman, Y.S., Tikhonov, I.V.
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Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions

Advances in Difference Equations, 2011
We focus on a Cauchy problem for impulsive integrodifferential equations involving nonlocal initial conditions, where the linear part is a generator of a solution operator on a complex Banach space.
Wang Rong-Nian, Xia Jun
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Stabilization of solutions for semilinear parabolic systems as $|x|o infty$

Electronic Journal of Differential Equations, 2009
We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$.
Alexander Gladkov
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Fourier Truncation Regularization Method for a Three-Dimensional Cauchy Problem of the Modified Helmholtz Equation with Perturbed Wave Number

Mathematics, 2019
In this paper, the Cauchy problem of the modified Helmholtz equation (CPMHE) with perturbed wave number is considered. In the sense of Hadamard, this problem is severely ill-posed. The Fourier truncation regularization method is used to solve this Cauchy
Fan Yang, Ping Fan, Xiao-Xiao Li
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On continuous solutions of the Cauchy problem for equations of fractional order

Журнал Белорусского государственного университета: Математика, информатика, 2019
It is studied the nonlocal conditions of solving Cauchy-type problem for fractional differential equations with  Riemann – Liouville derivatives in some special function space.
Petr P. Zabreiko, Svetlana V. Ponomareva
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Cauchy problem for the hyperbolic system with mixed derivatives

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.
Elena A Kozlova
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Numerical Method for Solving an inverse Cauchy problem for Helmholtz equation using CGLS, BICGSTAB and PCG

Academic Science Journal
In this work, an inverse Cauchy problem of Helmholtz equation for thermal conductivity at the edge of the target was considered. In this paper, temperature on the unknown boundary (the inner boundary)  is determined, by taking advantage of the  Cauchy ...
salah ibrahim, Fatima Mohammed Aboud
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The Cauchy problem in general relativity

Acta Physica Polonica B, 2013
Abstract This chapter contains a description of the Cauchy problem in the general theory of relativity. The intended audience consists of physicists with basic knowledge of general relativity. Beyond the formulation, there is a discussion of ways of measuring the distance between initial data sets.
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Existence and Uniqueness of Solutions to Abstract Discrete-Time Cauchy Problems in Vector-Valued Weighted Spaces

Axioms
This article studies the abstract discrete-time Cauchy problem involving the Riemann–Liouville type difference operator. Sufficient conditions for the existence of unique solution to the semilinear Cauchy problem in Lebesgue and weighted Lebesgue vector ...
Jagan Mohan Jonnalagadda, Carlos Lizama
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The Cauchy Problem for the Ishimori Equation

Journal of Functional Analysis, 1996
The Ishimori equation, describing the two-dimensional analog of the classical continuous isotropic Heisenberg spin chain is mapped via a gauge transformation onto the Davey-Stewartson II equation for shallow watter waves. Results concerning the Cauchy problem for the Ishimori equation are obtained by exploiting this correspondence and the known results
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