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Algebraic General Solutions of First Order Algebraic ODEs
2015In this paper we consider the class of algebraic ordinary differential equations AODEs, the class of planar rational systems, and discuss their algebraic general solutions. We establish for each parametrizable first order AODE a planar rational system, the associated system, such that one can compute algebraic general solutions of the one from the ...
Ngoc Thieu Vo, Franz Winkler
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Algebraic solution of RPA equationsfor CC quasi-elastic neutrino-nucleus scattering
, 2003.An algebraic solution of the RPA equations for nucleon re-interactions in the case of quasi-elastic charged-current neutrino-nucleus scattering is presented.
K. Graczyk, J. Sobczyk
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Algebraic Traveling Wave Solutions, Darboux Polynomials and Polynomial Solutions
Qualitative Theory of Dynamical Systems, 2017A traveling wave solution \(u= U(x-ct)\) of a partial differential equation \(u_{xx}= F(u,u_x,u_t)\) is called an algebraic traveling wave solution if there exists a polynomial \(p\) such that \(p(U,U')= 0\). The author completely characterizes the existence of algebraic traveling wave solutions of the partial differential equation \[ u_t= du_{xx}- a(u-
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The Solution of Linear Algebraic Equations
The Mathematical Gazette, 1962The rank of the coefficient matrix plays a dominant role in the theory of linear algebraic equations. It is not surprising, therefore, that a test for the rank of a matrix, that was a by-product of some work in dimensional analysis, proves to be an an admirable tool in this theory With its aid the consistency requirement assumes a simple and effective ...
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Solutions of Nonlinear Algebraic Equations
2018In the area of dynamics, finding equilibrium states of nonlinear systems, bifurcation and stability analysis of the system all lead to zero finding of the nonlinear functions. In control systems, the stability region in the controller parameter space can also be transformed to a zero finding problem.
Jian-Qiao Sun +3 more
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An Improved Algebraic Solution for Moving Target Localization in Noncoherent MIMO Radar Systems
IEEE Transactions on Signal Processing, 2016Heeseong Yang, J. Chun
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An Improved Algebraic Solution for TDOA Localization With Sensor Position Errors
IEEE Communications Letters, 2015Yang Liu, F. Guo, Le Yang, Wenli Jiang
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An Algebraic Solution Method for Nonlinear Inverse Scattering
IEEE Transactions on Antennas and Propagation, 2015M. Bevacqua +3 more
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