Part II. Case Studies in the Middle East and Central Asia: who move, who retreat? : 5. The Dynamics of Nation: Building in the Sudan

(II) The existence and uniqueness of the solution to the saturated-unsaturated flow model written for di ff usive form of Richards’ equation was proved in the three dimensional case,

If X is a smooth variety of finite type over a field k of characterisic p, then the category of filtration holonomic modules is closed under D X -module extensions, submodules

It should be noted that all these graphs are planar, even though it is more convenient to draw them in such a way that the (curved) extra arcs cross the other (straight) edges...

In Section 3 the extended Rapcs´ ak system with curvature condition is considered in the n-dimensional generic case, when the eigenvalues of the Jacobi curvature tensor Φ are

Analogs of this theorem were proved by Roitberg for nonregular elliptic boundary- value problems and for general elliptic systems of differential equations, the mod- ified scale of

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

In the case of the KdV equation, the τ -function is a matrix element for the action of the loop group of GL 2 on one-component fermionic Fock space, see for instance [10, 20, 26]..

[Mag3] , Painlev´ e-type differential equations for the recurrence coefficients of semi- classical orthogonal polynomials, J. Zaslavsky , Asymptotic expansions of ratios of