(1) 3次実対称行列Aを用いてf(x1, x2, x3) =txAx (x=t(x1, x2, x3))と表せ

Abstract: The existence and uniqueness of local and global solutions for the Kirchhoff–Carrier nonlinear model for the vibrations of elastic strings in noncylindrical domains

Thus, Fujita’s result says that there are no global, nontrivial solutions of (1.3) whenever the blow up rate for y(t) is not smaller than the decay rate for w(x, t) while there are

In this case (X t ) t≥0 is in fact a continuous (F t X,∞ ) t≥0 -semimartingale, where the martingale component is a Wiener process and the bounded variation component is an

In Example 3.3 we have seen such kind of operators, in fact, the operator considered there, it is not fundamentally reducible with respect to the given fundamental decomposition of

For positive integers l with 1 ≤ l ≤ 33, by the method indicated in the proof of the main theorem, we compute and list all (k, l) such that equation (4) has infinitely many

A coloring of the nonzero elements of a ring R (or more generally, a set of numbers S) is called minimal for a system L of linear homogeneous equations if it is free of

At the end of the section, we will be in the position to present the main result of this work: a representation of the inverse of T under certain conditions on the H¨older

A comparison between sum-free and weak sum- free, as well as Sidon and weak Sidon sets, and B h sequences versus weak B h sequences, can be found in Ruzsa’s papers [26] and [27];