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On the irreducible factors of a polynomial over a valued field 论有值域上多项式的不可还原因子
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-04-08 DOI: 10.21136/cmj.2024.0451-22
Anuj Jakhar
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引用次数: 0
On almost periodicity defined via non-absolutely convergent integrals 关于通过非绝对收敛积分定义的几乎周期性
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-04-02 DOI: 10.21136/cmj.2024.0014-23
Dariusz Bugajewski, Adam Nawrocki
. We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.
.我们研究了通过 Denjoy-Perron（或等价于 Henstock-Kurzweil）积分定义的几乎周期函数的规范空间的一些性质。特别是，我们证明了这个空间是条形的，而不是完整的。我们还证明了一个线性二导方程，其非同调项为此类几乎周期性的函数，在所考虑的类中有一个解。
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引用次数: 0
Positive periodic solutions to super-linear second-order ODEs 超线性二阶 ODE 的正周期解
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-03-28 DOI: 10.21136/cmj.2024.0128-23
Jiří Šremr
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引用次数: 0
Stieltjes differential problems with general boundary value conditions. Existence and bounds of solutions 具有一般边界值条件的斯蒂尔杰斯微分问题。解的存在性和边界
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-03-22 DOI: 10.21136/cmj.2024.0125-23
V. Marraffa, B. Satco
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引用次数: 0
Characterization of shadowing for linear autonomous delay differential equations 线性自主延迟微分方程的阴影表征
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-03-20 DOI: 10.21136/cmj.2024.0191-23
M. Pituk, John Ioannis Stavroulakis
. A well-known shadowing theorem for ordinary differential equations is generalized to delay differential equations. It is shown that a linear autonomous delay differential equation is shadowable if and only if its characteristic equation has no root on the imaginary axis. The proof is based on the decomposition theory of linear delay differential equations.
.一个著名的普通二微分方程阴影定理被推广到延迟二微分方程中。结果表明，当且仅当线性自主延迟二导方程的特征方程在虚轴上没有根时，该方程是可影的。证明基于线性延迟二导方程的分解理论。
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引用次数: 0
On the characterization of harmonic functions with initial data in Morrey space 论莫里空间初始数据谐函数的表征
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-03-18 DOI: 10.21136/cmj.2024.0368-23
Bo Li, Jinxia Li, Bolin Ma, Tianjun Shen
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引用次数: 0
Elementary construction of Hölder functions such that the Kurzweil-Stieltjes integral does not exist 不存在 Kurzweil-Stieltjes 积分的赫尔德函数的基本构造
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-03-15 DOI: 10.21136/cmj.2024.0296-23
Martin Rmoutil
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引用次数: 0
Non-differentiability of Feynman paths 费曼路径的不可分性
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-03-08 DOI: 10.21136/cmj.2024.0493-22
Pat Muldowney

A well-known mathematical property of the particle paths of Brownian motion is that such paths are, with probability one, everywhere continuous and nowhere differentiable. R. Feynman (1965) and elsewhere asserted without proof that an analogous property holds for the sample paths (or possible paths) of a non-relativistic quantum mechanical particle to which a conservative force is applied. Using the non-absolute integration theory of Kurzweil and Henstock, this article provides an introductory proof of Feynman’s assertion.

布朗运动粒子轨迹的一个众所周知的数学特性是，这种轨迹在概率为一的情况下是无处不连续、无处不可变的。费曼（R. Feynman，1965 年）和其他学者在没有证明的情况下断言，对于施加了保守力的非相对论量子力学粒子的样本路径（或可能路径），也具有类似的性质。本文利用库兹韦尔和亨斯托克的非绝对积分理论，对费曼的论断进行了介绍性证明。
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引用次数: 0
Ergodicity of increments of the Rosenblatt process and some consequences 罗森布拉特过程增量的遍历性及一些后果
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-03-07 DOI: 10.21136/cmj.2024.0252-23
Petr Čoupek, Pavel Kříž, Bohdan Maslowski
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引用次数: 0
On the behaviour of the solutions of a $k$-order cyclic-type system of max difference equations 论 k$ 阶循环型最大差分方程系统解的行为
IF 0.5 4区 数学 Q4 Mathematics
Czechoslovak Mathematical Journal
Pub Date : 2024-03-07 DOI: 10.21136/cmj.2024.0203-23
G. Stefanidou, G. Papaschinopoulos
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引用次数: 0
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