We find conditions for existence of two cycles for a five-dimensional piecewise-linear dynamical system that models functioning of a circular gene network. Conditions for existence of a cycle were obtained by th
Nonlinearity is present everywhere in the behaviour of mechanical systems. It has long been seen as an uncomfortable presence and a source of undesirable effects. This is partly true, considering the nonvalidity of some pillars of linear theories, such a
Some of the reasons behind this conservatism are the non-uniqueness of TS model construction, the way MFs are removed or considered in nested convex sums to obtain sufficient LMI conditions, and the choice of Lyapunov function [6]. In order to tackle the aforementioned problems some efforts ...
Cauchy–Kowalevski theorem uniqueness existence linear pde cost accounting books answers to glencoe pre algebra book math lessons on inequalities for first grade domain restrictions and difference quotient examples enter variable on graphing calculator' powerpoint for graphing equations Polynomial fa...
(2.1.5) there, or for uniqueness of solutions of Eq. (2.1.7) there. 180 R. Beig, P.T. Chru´sciel and R. Schoen Ann. Henri Poincar´e for the linear system of equations obtained by calculating the (k + 1)-st deriva- tives of r by differentiating (5.3)–(5.4) |α| ...
piecewise smooth coefficientsThe mathematical modeling of heat conduction with adsorption effects in coated metal structures yields the heat equation with piecewise smooth coefficients and a new kind of source term. This term is special, because it is non-linear and furthermore depends on a time ...
Cauchy–Kowalevski theorem uniqueness existence linear pde cost accounting books answers to glencoe pre algebra book math lessons on inequalities for first grade domain restrictions and difference quotient examples enter variable on graphing calculator' powerpoint for graphing equations Polynomial fa...
2). But the uniqueness and the existence of a solution to the approximate model should be derived in a slightly different way. Once it has been proved that on the portion of the boundary where the transparent boundary conditions are applied, the extension to the full domain is proved using ...
Before going further, we notice that, in the classical homogenisation literature, the uniqueness of the solution of the cell problem is guaranteed by imposing that ϑk k is equal to zero. However, from a computational point of view, a more feasible condition is to fix the value of the ...
This chapter provides an overview of the theory of nonzero-sum differential games, describing the general framework for their formulation, the importance of information structures, and noncooperative solution concepts. Several special structures of such