Directory UMM :Journals:Journal_of_mathematics:EJQTDE:
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map is well-defined. Using Proposition 2.16, we deduce the desired result for trivial vector bundles V.. is an isomorphism. This implies the result for trivial vector bundles
If there are h edges to the left of the node on the present level, these h edges correspond to h consecutive horizontal steps; The remaining v edges on the level correspond to
Applying the potential method and the theory of singular integral equations, the normality of singular integral equations corresponding to the boundary value problems
We describe the complete polynomial vector fields and their fixed points in a finite-dimensional simplex and we apply the results to differential equations of genetical
[22] F. Takens, Unfoldings of certain singularities of vector fields: Generalized Hopf bifurcations , J. Tricot, Curves and Fractal Dimension, Springer–Verlag, 1995. ˇ
By using of the left-invariant vector fields of top spaces and their one-parameter subgroups, a relation between the Lie algebras of a class of top spaces and the Lie algebras of
The model consists in relaxing the distributional assumptions of asset returns to a situation where the underlying random processes modeling the spot prices of assets are
• The free-edge singular field dominates a reasonably large region near the interface corner relative to the width of a scarf joint between two long strips of materials and, relative
