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We present sufficient conditions for the existence of solutions to Neu- mann and periodic boundary-value problems for some class of quasilinear ordinary differential equations.. We

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 case the reader is encountering polymer models with boundaries for the first time but can appreciate an analogy with the totally asymmetric simple exclusion process (TASEP), then

Furthermore, there exists the global stable manifold W s E 1 that separates the positive quadrant so that all orbits below this manifold are asymptotic to ∞, 0, and all orbits

Figure 3: A colored binary tree and its corresponding t 7 2 -avoiding ternary tree Note that any ternary tree that is produced by this algorithm certainly avoids t 7 2 since a

The notion of Wilf equivalence for pat- terns in permutations admits a straightforward generalisation for (sets of) tree patterns; we describe classes for trees with small num- bers

Then pass into the next column which is the (q + 1)th column, put 1 at the second row of this column and repeat the process until we have only p − 2 rows for going down (then we

[Horizontal dual of Theorem 5.7.] Let T be a normal pseudo double monad on a double category K, and assume that T is pointwise left exact... Briefly, the features of double