http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
A short note on the Hyers-Ulam stability in multi-valued dynamics
주항연,유승기 충청수학회 2018 충청수학회지 Vol.31 No.1
In this paper, we consider the Hyers-Ulam stability on multi-valued dynamics. For a generalized n-dimensional quadratic set-valued functional equation, we prove the Hyers-Ulam stability for the functional equation in multi-valued dynamics.
CHARACTERIZATIONS ON ORBITAL INVERSE LIMIT SYSTEMS
주항연,이나경 충청수학회 2022 충청수학회지 Vol.35 No.1
In this article, we investigate minimality, transitivity and mixing property for a shift map on the orbital inverse limit systems.
A TOPOLOGICAL CHARACTERIZATION OF Ω-LIMIT SETS ON DYNAMICAL SYSTEMS
주항연,김민영,박종서 충청수학회 2014 충청수학회지 Vol.27 No.3
In this article, we deal with the notion of-limit setsin dynamical systems. We show that the Ω-limit set of a compactsubset of a phase space is quasi-attracting.
On the stability of an additive set-valued functional equation
주항연,Seung Ki Yoo 충청수학회 2014 충청수학회지 Vol.27 No.3
In this paper, we consider the additive set-valued func- tional equation nf( ∑n i=1 xi) = ∑n i=1 f(xi) ∑ 1≤i<j≤n f(xi + xj) where n ≥ 2 is an integer, and prove the Hyers-Ulam stability of the functional equation.
Some remarks on chain prolongations in dynamical systems
주항연,김아영,박종서 충청수학회 2013 충청수학회지 Vol.26 No.2
In this article, we discuss the notions of chain prolongation functions on locally compact spaces and get some results for the concepts. We show that chain prolongation function is a cluster map.
On stability problems with shadowing property and its application
주항연,한길준,강동승 대한수학회 2011 대한수학회보 Vol.48 No.4
Let n ≥2 be an even integer. We investigate that if an odd mapping f:X →Y satisfies the following equation [수식]+[수식]=[수식] then f:X →Y is additive, where r ∈R. We also prove the stability in normed group by using shadowing property and the Hyers-Ulam stability of the functional equation in Banach spaces and in Banach modules over unital C^*-algebras. As an application, we show that every almost linear bijection h:A→B of unital C^*-algebras A and B is a C^*-algebra isomorphism when h[수식]=h[수식]h(y) for all unitaries u∈ A, all y∈ A, and s=0,1,2,.....
A SHORT REMARK ON CONTROL SYSTEMS
주항연,구세현,Seung Ki Yoo 충청수학회 2016 충청수학회지 Vol.29 No.1
Souza and Tozatti~\cite{So-To-2013} introduce the notions of prolongations and prolongational limit sets on control systems. In this article, we prove the upper semicontinuity of first positive prolongations and first positive prolongational limit sets on control systems.
On characterizations of set-valued dynamics
주항연,Seung Ki Yoo 대한수학회 2016 대한수학회보 Vol.53 No.4
In this paper, we generalize the stability for an $n$-dimensional cubic functional equation in Banach space to set-valued dynamics. Let $n\ge 2$ be an integer. We define the $n$-dimensional cubic set-valued functional equation given by \begin{eqnarray*} &\qquad\quad f(2\sum_{i=1}^{n-1}x_{i}+x_{n})\oplus f(2\sum_{i=1}^{n-1}x_{i}-x_{n})\oplus 4\sum_{i=1}^{n-1}f(x_{i})\\ &=16f(\sum_{i=1}^{n-1}x_{i})\oplus 2\sum_{i=1}^{n-1}(f(x_{i}+x_{n})\oplus f(x_{i}-x_{n})). \end{eqnarray*} We first prove that the solution of the $n$-dimensional cubic set-valued functional equation is actually the cubic set-valued mapping in \cite{CKY14}. We prove the Hyers-Ulam stability for the set-valued functional equation.
Expansivity on orbital inverse limit systems
주항연,이나경 충청수학회 2019 충청수학회지 Vol.32 No.1
In this article, we study expansiveness of the shift maps on orbital inverse limit spaces which consist of two cross bonding mappings. On orbital inverse limit systems, horizontal directions express inverse limit systems and vertical directions mean orbits based on horizontal axes. We characterize the $c$-expansiveness of functions on orbital spaces. We also prove that the $c$-expansiveness of the functions is equivalent to the expansiveness of the shift maps on orbital inverse limit spaces.
A remark on a stability in multi-valued dynamics
주항연,박종서,유승기 충청수학회 2017 충청수학회지 Vol.30 No.1
In this article, we consider the Hyers-Ulam stability in multi-valued dynamics. We prove the Hyers-Ulam stability for a cubic set-valued functional equation on multi-valued dynamics by using several methods.