Results 41 to 50 of about 73,152 (166)
Algorithms, 2017 A modification to an existing iterative method for computing zeros with unknown multiplicities of nonlinear equations or a system of nonlinear equations is presented.
Fayyaz Ahmad +6 more
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Combined Method for Nonlinear Systems of Equations [PDF]
, 2006 This paper proposes Block Broyden Method combined with SSOR preconditioning technique for solving nonlinear systems of equations. The implementation process is described in detail and the time complexity is analyzed. This method has faster solving speed and better performance than the unpreconditioned one, which is shown by several numerical tests ...
Peng Jiang +2 more
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Journal of Applied Mathematics, 2013 We use a nonlinear transformation method to develop equivalent equations of motion of nonlinear homogeneous oscillatory systems with linear and nonlinear odd damping terms.
Alex Elías-Zúñiga +1 more
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Systems of nonlinear algebraic equations with positive solutions
Journal of Inequalities and Applications, 2017 We are concerned with the positive solutions of an algebraic system depending on a parameter α > 0 $\alpha> 0$ and arising in economics. For α > 1 $\alpha> 1$ we prove that the system has at least a solution.
Anca Ciurte, Sergiu Nedevschi, Ioan Rasa
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A Study of Positive Exponential Consensus on DeGroot Model
IEEE Access, 2020 A nonlinear consensus model is assigned to resolve the consensus problem of multi-agent systems (MAS). Other studies have constructed consensus systems based on low-complexity computation linear equations or complex nonlinear equations.
Rawad Abdulghafor +4 more
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On a System of Two Nonlinear Difference Equations
Journal of Mathematical Analysis and Applications, 1998 Concerning the system \(x_{n+1}=A+y_n/x_{n-p}\), \(y_{n+1}=A+x_n/y_{n-q}\) with \(A\geq 0\) and natural numbers \(p\), \(q\), the authors show: (i) the positive solutions are bounded, (ii) they oscillate about the equilibrium \((1+A,1+A)\), (iii) the equilibrium is globally asymptotically stable for \(A>1\).
Papaschinopoulos, G., Schinas, C.J.
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Evolutionary Method for Nonlinear Systems of Equations [PDF]
, 2006 We propose a new perspective for solving systems of nonlinear equations by viewing them as a multiobjective optimization problem where every equation represents an objective function whose goal is to minimize the difference between the right- and left-hand side of the corresponding equation of the system.
Crina Grosan +2 more
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On the System of Nonlinear Rational Difference Equations
, 2013 {"references": ["M.P. Hassell and H.N. Comins, Discrete time models for two-species\ncompetition, Theoretical Population Biology, Vol. 9, no. 2,1976, pp.\n202\u2013221.", "J.E. Franke and A.A. Yakubu, Mutual exclusion versus coexistence for\ndiscrete competitive Systems, Journal of Mathematical Biology, Vol.30,\nno. 2,1991, pp.
Qianhong Zhang, Wenzhuan Zhang
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On Nonlinear Nonlocal Systems of Reaction Diffusion Equations
Abstract and Applied Analysis, 2014 The reaction diffusion system with anomalous diffusion and a balance law ut+-Δα/2u=-fu,v, vt+-∆β/2v=fu,v ...
B. Ahmad +4 more
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Perturbations of nonlinear systems of differential equations
Journal of Mathematical Analysis and Applications, 1966 AbstractSeveral perturbation theorems are proved for nonlinear ordinary differential equations for which all solutions of the linearized equation are integrable. This gives a practical type of stability expressing the property that solutions tend to zero, and measures of the effect of various types of perturbations on such systems.
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