We present a new expression of the polynomial Hamiltonian of the Garnier system in two variables. 1. Main results The Garnier system in two variables is equivalent to the rational Hamiltonian system given by (see [18], cf. [3]) dq1 = ∂H1 ∂p1 dt + ∂H2 ∂p1 ds, dp1 = − ∂H1 ∂q1 dt− ∂H2 ∂q1 ds, dq2 = ∂H1 ∂p2 dt + ∂H2 ∂p2 ds, dp2 = − ∂H1 ∂q2 dt− ∂H2 ∂q2 ds, H1 = − q1(q1 − 1)(q1 − t)(q1 − s)(q2 − t) (...

in this study, in addition to estimating meat demand, live animal supply and marketing services supply for beef and lamb, economic behavior of marketing margin with respect to determinants of meat demand, live animal supply and marketing services supply have been evaluated for years 1998-2004. results indicate that, as examples, beef and lamb marketing margin elasticity with respect to feed pri...

We find and study a five-parameter family of four-dimensional partial differential systems in two variables from the viewpoints of its symmetry and holomorphy properties. 1. Main results In this paper, we present a 5-parameter family of four-dimensional partial differential systems in two variables explicitly given by (cf. [3, 18]) dq1 = ∂H1 ∂p1 dt+ ∂H2 ∂p1 ds, dp1 = − ∂H1 ∂q1 dt− ∂H2 ∂q1 ds, d...

We present a stabilized finite element method for Stokes equations with piecewise continuous bilinear approximations for both velocity and pressure variables. The velocity field is enriched with piecewise polynomial bubble functions with null average at element edges. These functions are statically condensed at the element level and therefore they can be viewed as a continuous Q1–Q1 stabilized ...