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complex Radon measures and “Radon” measures on locally Hausdorff, lo- cally compact spaces that are a bit beyond the standard measure theory courses we all teach — although much
We have shown in Theorem 3.7 that every relative graph algebra is isomorphic to a graph algebra. In Theorem 5.1 we shall prove a gauge-invariant uniqueness theo- rem for C ∗
We also point out that even for some semilinear partial differential equations with simple characteristics Theorem 11 and Theorem 12 imply new results for the local solvability in
It is interesting that starting from this inclusion one can not only find spectral conditions for almost periodicity for a bounded uniformly continuous solution of Eq.(1) but
Also we are interested on values on q and λ > 0 which guarantee that problem (1.5) has a global positive solution with given behavior at infinity.. The basic method used here is
For any λ > 0, we obtain the exact number of positive solutions as a function of f ( t ) /t and establish how the positive solution curves to the above problem change1. Also, we
A new proof based on local integral manifold theory and the implicit function theorem is given for the classical result that a simple periodic orbit of the equation above
Then we prove that if the drift is ane or 1-periodic in the second variable, then the solution is reciprocal (Theorems 4.7 and 4.8); we exhibit other drifts coecients with the
