つくばリポジトリ NMC 57 7

In Section 4 we present conditions upon the size of the uncertainties appearing in a flexible system of linear equations that guarantee that an admissible solution is produced

In order to prove these theorems, we need rather technical results on local uniqueness and nonuniqueness (and existence, as well) of solutions to the initial value problem for

Furthermore, the upper semicontinuity of the global attractor for a singularly perturbed phase-field model is proved in [12] (see also [11] for a logarithmic nonlinearity) for two

This article concerns the behaviour of solutions to a coupled sys- tem of Schr¨ odinger equations that has applications in many physical problems, especially in nonlinear optics..

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

Classical Sturm oscillation theory states that the number of oscillations of the fundamental solutions of a regular Sturm-Liouville equation at energy E and over a (possibly

Yin, “Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system,” Journal of Differential Equations, vol.. Yin, “Global weak

The theory of log-links and log-shells, both of which are closely related to the lo- cal units of number fields under consideration (Section 5, Section 12), together with the