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Summability methods based on the Riemann Zeta function [PDF]
This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable. A zeta summability matrix Zt associated with a real sequence t is introduced; a necessary and sufficient condition on the sequence t such that Zt maps l1 to l1 ...
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On Cauchy problem for system of n Euler-Poisson-Darboux equations in the plane
The system of Euler-Poisson-Darboux equations is considered, the Cauchy problem is solved for the case of real n×n matrix-coefficient with one real eigenvalue or two complex conjugate eigenvalues with real part in the interval (−1/2, 1/2).
Ekaterina A Maksimova
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The solutions to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas are constructed for all kinds of situations by using the method of phase plane analysis.
Zhang Yunfeng, Sun Meina, Lin Xiuli
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On the solution of the space-time fractional cubic nonlinear Schrödinger equation
The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif +2 more
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Riemann solutions for spacetime discontinuous Galerkin methods
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Scott T. Miller, Reza Abedi
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On a proplem for generalized Boussinesq–Love equation
For a fourth-order equation with two independent variables a variant of the Goursat problem with data on two intersecting characteristics is considered.
Valentin Ivanovich Zhegalov
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Monotone iterative method for two-point fractional boundary value problems
In this work, we deal with two-point Riemann–Liouville fractional boundary value problems. Firstly, we establish a new comparison principle. Then, we show the existence of extremal solutions for the two-point Riemann–Liouville fractional boundary value ...
Bo Tang, Jing Zhao, Zhenhai Liu
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In order to solve the numerical method of nonconservative ideal hydrodynamics equations, the viscous perturbation technique for solving nonconservative hydrodynamics equations is improved and tested by solving the Riemann problem.
Huijing Zhan, Mingze Wu
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A note on Riemann’s method applied to the diffusion equation [PDF]
The method of Riemann (or Green) is applied to the integration of the parabolic equation in m {m}
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Solution of the Cauchy problem for system of Euler-Poisson-Darboux equations
The system of Euler-Poisson-Darboux equations is considered, the Cauchy problem is solved for the case, when characteristic numbers of matrix-coefficient are complex conjugate and having real part in the interval (−1/2, 0).
Ekaterina A Maksimova
doaj

