# A self-consistent three-wave coupling model with complex linear frequencies

## Related Articles

- EQUIVALENCE OF LCP AND PLS. Eaves, B. C.; Lemke, C. E. // Mathematics of Operations Research;Nov81, Vol. 6 Issue 4, p475
Presents prototype models of complementary pivot and fixed point theory. Information on the conversion of a linear complementary problem to a piecewise linear system; Theorems and proofs; Details on the piecewise linear maps and conjugates.

- Strict diagonal dominance in asymptotic stability of general equilibrium. Hsu, Sheng-Yi; Shih, Mau-Hsiang // Fixed Point Theory & Applications;Dec2013, Vol. 2013 Issue 1, p1
Stability of general equilibrium is usually depicted by a dynamic process of price adjustment which makes the flow of prices eventually come to rest at certain prices, so that the supply and demand of every commodity tend to equal each other. Here we construct a dynamical system of a competitive...

- The Existence of Symmetric Positive Solutions for a Nonlinear Multi-Point Boundary Value Problem on Time Scales. Tokmak, Fatma; Karaca, Ilkay Yaslan; Senlik, Tugba; Sinanoglu, Aycan // Journal of Computational Analysis & Applications;Oct2015, Vol. 19 Issue 4, p670
In this paper, we study the existence of symmetric positive solutions for the nonlinear multi-point boundary value problem on time scales. By applying fixed-point index theorem, the existence of at least two or many symmetric positive solutions is obtained. An example is given to illustrate our...

- Multiple Unbounded Positive Solutions for Three-Point BVPs with Sign-Changing Nonlinearities on the Positive Half-Line. Djebali, Sma�l; Mebarki, Karima // Acta Applicandae Mathematica;Feb2010, Vol. 109 Issue 2, p361
This work is concerned with the existence of unbounded positive solutions for a second-order nonlinear three-point boundary value problem on the positive half-line. The interesting points of the results are that the nonlinearity depends on the solution and its derivative and may change sign....

- Fixed Points in Discrete Models for Regulatory Genetic Networks. Bollman, Dorothy; Colón-Reyes, Omar; Orozco, Edusmildo // EURASIP Journal on Bioinformatics & Systems Biology;2007 Special Issue, p1
It is desirable to have efficient mathematical methods to extract information about regulatory iterations between genes from repeated measurements of gene transcript concentrations. One piece of information is of interest when the dynamics reaches a steady state. In this paper we develop tools...

- Algorithms for solving nonlinear dynamic decision models. Becker, Robin; Rustem, Berc // Annals of Operations Research;1993, Vol. 44 Issue 1-4, p117
In this paper we discuss two Newton-type algorithms for solving economic models. The models are preprocessed by reordering the equations in order to minimize the dimension of the simultaneous block. The solution algorithms are then applied to this block. The algorithms evaluate numerically, as...

- On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition. Dongming Yan // Journal of Function Spaces & Applications;2013, p1
We determine the principal eigenvalue of the linear problem u(4)(t) + Î²u''(t) = Î¼[u(t) - u''(t)],t âˆŠ (0, 1), u(0) = u(1) = âˆ«Â¹0 p(s)u(s)ds, u''(0) = u''(1) = âˆ«Â¹0q(s)u''(s)ds, where 0 < Î² < Ï€Â² and p, q âˆŠ L[0, 1]. Moreover, we investigate the existence of...

- ON THE NUMBER OF SINGULARITIES IN GENERIC DEFORMATIONS OF MAP GERMS. FUKUI, T.; NUÑO BALLESTEROS, J. J.; SAIA, M. J. // Journal of the London Mathematical Society;08/01/1998, Vol. 58 Issue 1, p141
Let f∶-n, 0â€™-p, 0 be a 5-finite map germ, and let i=(i1, &, ik) be a Boardman symbol such that -i has codimension n in the corresponding jet space Jk(n, p). When its iterated successors have codimension larger than n, the paper gives a list of situations in which the number of -i...

- Sequences of Closed Operators and Correctness. Ramadan, Sabra; Al-Hossain, Abdulla // American Journal of Applied Sciences;2010, Vol. 7 Issue 3, p386
In applications and in mathematical physics equations it is very important for mathematical models corresponding to the given problem to be correct given. In this research we will study the relationship between the sequence of closed operators Anâ†’A and the correctness of the equation Ax =...