Abstract
This study mainly aims to explore the existence of global attractor for a modified Swift-Hohenberg equation. The method we use was the classical existence theorem of global attractors and ...the theory of semigroups. Use this method we prove that the equation exist a global attractor in
H
1
2
space, and the global attractor attracts whatever bounded subset of
H
1
2
in the
H
1
2
-norm.
Abstract
This short note presents an explicit step-by-step proof of the existence theorem of an optimal control problem applied to a deterministic model for a vector-borne disease.
A direct proof of the five element basis theorem Veličković, Boban; Venturi, Giorgio
Mathematical logic quarterly,
November 2017, 2017-11-00, 20171101, Letnik:
63, Številka:
3-4
Journal Article
Recenzirano
Odprti dostop
We present a direct proof of the consistency of the existence of a five element basis for the uncountable linear orders. Our argument is based on the approach of König, Larson, Moore and Veličković ...and simplifies the original proof of Moore.
The purpose of this paper is to investigate the existence and multiplicity of solutions for the following class of fractional -Kirchhoff-type problems in We first establish the compact embedding of ...the space into . Using this embedding result and some critical-points theorems, we obtain the existence and multiplicity results.
In the classical (probability) setting, the Radon-Nikodym Theorem is used to prove the existence of conditional expectations. This paper states the Radon-Nikodym Theorem for uncertain measures which ...were introduced by Liu (2007) to model belief degrees. This version of the theorem is adapted from Graf (1980) who established the theorem for non-additive measures called capacities. This paper then uses the theorem to define the conditional expectation of an uncertain variable with respect to a σ-algebra. Properties of the conditional expectation are established.
In this paper we study the moduli space of properly Alexandrov-embedded, minimal annuli in H2×R with horizontal ends. We say that the ends are horizontal when they are graphs of C2,α functions over ...∂∞H2. Contrary to expectation, we show that one can not fully prescribe the two boundary curves at infinity, but rather, one can prescribe one of the boundary curves, but the other one only up to a translation and a tilt, along with the position of the neck and the vertical flux of the annulus. We also prove general existence theorems for minimal annuli with discrete groups of symmetries.
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