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In [1, 2, 17], following the same strategy of [12], the authors showed a direct Carleman estimate for the backward adjoint system of the population model (1.1) and deduced its
Furthermore, for any Morse function f on a compact manifold X there exist riemannnian metrics on X for which the gradient flow of f is Morse- Stokes...
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
The strategy to prove Proposition 3.4 is to apply Lemma 3.5 to the subspace X := (A p,2 ·v 0 ) ⊥ which is the orthogonal for the invariant form h·, ·i p,g of the cyclic space
Some of the known oscillation criteria are established by making use of a technique introduced by Kartsatos [5] where it is assumed that there exists a second derivative function
of absolute CR -epic spaces: a Tychonoff space X is absolute CR -epic if for any dense embedding X // Y into another Tychonoff space, the induced C(Y ) // C(X) is an epimorphism in
If we find any solution vector x ∗ , for which the optimal solution of the LP is strictly positive, we get a separating hyperplane, thus the lattice is not semi-eutactic and
It is easy to prove that B X (D) is a semigroup with respect to the operation of multiplication of binary relations, which is called a complete semigroup of