PDFファイル 1G2 「機械学習の基礎」

In the study of dynamic equations on time scales we deal with certain dynamic inequalities which provide explicit bounds on the unknown functions and their derivatives.. Most of

The general context for a symmetry- based analysis of pattern formation in equivariant dynamical systems is sym- metric (or equivariant) bifurcation theory.. This is surveyed

(4) The basin of attraction for each exponential attractor is the entire phase space, and in demonstrating this result we see that the semigroup of solution operators also admits

We shall see below how such Lyapunov functions are related to certain convex cones and how to exploit this relationship to derive results on common diagonal Lyapunov function (CDLF)

An integral inequality is deduced from the negation of the geometrical condition in the bounded mountain pass theorem of Schechter, in a situation where this theorem does not

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

We construct a sequence of a Newton-linearized problems and we show that the sequence of weak solutions converges towards the solution of the nonlinear one in a quadratic way.. In

Section 3 is first devoted to the study of a-priori bounds for positive solutions to problem (D) and then to prove our main theorem by using Leray Schauder degree arguments.. To show