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Methods of Functional Analysis and Topology最新文献

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New results on the existence of periodic solutions for a higher-order p -Laplacian neutral differential equation with multiple deviating arguments 多偏差高阶p - laplace中立型微分方程周期解存在性的新结果
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2022-12-23 DOI: 10.31392/mfat-npu26_1.2021.07
L. Moutaouekkil, O. Chakrone, Z. El Allali, S. Taarabti
{"title":"New results on the existence of periodic solutions for a higher-order p -Laplacian neutral differential equation with multiple deviating arguments","authors":"L. Moutaouekkil, O. Chakrone, Z. El Allali, S. Taarabti","doi":"10.31392/mfat-npu26_1.2021.07","DOIUrl":"https://doi.org/10.31392/mfat-npu26_1.2021.07","url":null,"abstract":"In this article, we consider the following high-order p-Laplacian neutral differential equation with multiple deviating arguments:$$(varphi_{p}(x(t)-cx(t-r))^{(m)}(t)))^{(m)}= f(x(t))x'(t)+g(t,x(t),x(t-tau_{1}(t)),...,x(t-tau_{k}(t)))+e(t).$$By appling the continuation theorem, theory of Fourier series, Bernoulli numbers theory and some analytic techniques, sufficient conditions for the existence of periodic solutions are established.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46688176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Markov dynamics on the cone of discrete Radon measures 离散Radon测度锥上的马尔可夫动力学
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2021-01-28 DOI: 10.31392/mfat-npu26_2.2021.06
D. Finkelshtein, Y. Kondratiev, Peter Kuchling
{"title":"Markov dynamics on the cone of discrete Radon measures","authors":"D. Finkelshtein, Y. Kondratiev, Peter Kuchling","doi":"10.31392/mfat-npu26_2.2021.06","DOIUrl":"https://doi.org/10.31392/mfat-npu26_2.2021.06","url":null,"abstract":"Configuration spaces form an important and actively developing area in the infinite dimensional analysis. The spaces not only contain rich mathematical structures which require non-trivial combination of continuous and combinatoric analysis, they also provide a natural mathematical framework for the applications to mathematical physics, biology, ecology, and beyond. Spaces of discrete Radon measures (DRM) may be considered as generalizations of configuration spaces. Main peculiarity of a DRM is that its support is typically not a configuration (i.e. not a locally finite set). The latter changes drastically the techniques for the study of the spaces of DRM. Spaces of DRM have various motivations coming from mathematics and applications. In particular, random DRM appear in the context of the Skorokhod theorem [17] in the theory of processes with independent increments. Next, in the representation theory of current groups, the role of measures on spaces of DRM was clarified in fundamental works by Gelfand, Graev, and Vershik; see [15] for the development of this approach. Additionally, DRM gives a useful technical equipment in the study of several models in mathematical physics, biology, and ecology. In the present paper, we start with a brief overview of the known facts about the spaces of DRM (Section 2). In [10], the concept of Plato subspaces of the spaces of marked configurations was introduced. Using this, one can define topological, differential and functional structures on spaces of DRM, as well as transfer the harmonic analysis considered in [11] to the spaces of DRM. This allows us to extend the study of nonequilibrium dynamics, see e.g. [8, 12, 13], to the spaces of DRM.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44509714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Asymptotically stable solutions of a nonlinear integral equation 一类非线性积分方程的渐近稳定解
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2021-01-01 DOI: 10.31392/mfat-npu26_1.2021.08
I. Özdemir
{"title":"Asymptotically stable solutions of a nonlinear integral equation","authors":"I. Özdemir","doi":"10.31392/mfat-npu26_1.2021.08","DOIUrl":"https://doi.org/10.31392/mfat-npu26_1.2021.08","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69691723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the second largest multiplicity of eigenvalues for the Stieltjes string spectral problem on trees 树上Stieltjes弦谱问题特征值的第二大多重性
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2021-01-01 DOI: 10.31392/mfat-npu26_3.2021.03
O. Boyko, O. Martynyuk, V. Pivovarchik
{"title":"On the second largest multiplicity of eigenvalues for the Stieltjes string spectral problem on trees","authors":"O. Boyko, O. Martynyuk, V. Pivovarchik","doi":"10.31392/mfat-npu26_3.2021.03","DOIUrl":"https://doi.org/10.31392/mfat-npu26_3.2021.03","url":null,"abstract":"The largest possible multiplicity of an eigenvalue of a spectral problem generated by the Stieltjes string equations on a metric tree is ppen 1, where ppen is the number of pendant vertices. We propose how to find the second largest possible multiplicity of an eigenvalue of such a problem. This multiplicity depends on the numbers of point masses on the edges of the trees. Максимально можлива кратнiсть власного значення спектральної задачi, породженої рiвняннями струни Стiлтьєса на метричному деревi, дорiвнює ppen 1, де ppen — кiлькiсть висячих вершин. Ми пропонуємо, як знайти другу за величиною кратнiсть власного значення такої задачi. Ця кратнiсть залежить вiд кiлькостi точкових мас на ребрах дерев.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69692340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence results for second-order neutral stochastic equations driven by Rosenblatt process Rosenblatt过程驱动二阶中立型随机方程的存在性结果
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2021-01-01 DOI: 10.31392/mfat-npu26_4.2021.11
Rakia Ahmed Yahia, A. Benchaabane, Halim zeghdoudi
{"title":"Existence results for second-order neutral stochastic equations driven by Rosenblatt process","authors":"Rakia Ahmed Yahia, A. Benchaabane, Halim zeghdoudi","doi":"10.31392/mfat-npu26_4.2021.11","DOIUrl":"https://doi.org/10.31392/mfat-npu26_4.2021.11","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"11 2 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69692392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Location of the Spectrum of an Operator with a Hilbert-Schmidt Resolvent in the Left Half-Plane 左半平面上具有Hilbert-Schmidt解析算子的谱定位
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2021-01-01 DOI: 10.31392/mfat-npu26_4.2021.07
M. Gil'
{"title":"On Location of the Spectrum of an Operator with a Hilbert-Schmidt Resolvent in the Left Half-Plane","authors":"M. Gil'","doi":"10.31392/mfat-npu26_4.2021.07","DOIUrl":"https://doi.org/10.31392/mfat-npu26_4.2021.07","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69692703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized Mittag-Leffler Kernels and Generalized Scaling Operators in Mittag-Leffler Analysis Mittag-Leffler分析中的广义Mittag-Leffler核和广义尺度算子
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2021-01-01 DOI: 10.31392/mfat-npu26_4.2021.03
W. Bock, Ang Elyn Gumanoy
{"title":"Generalized Mittag-Leffler Kernels and Generalized Scaling Operators in Mittag-Leffler Analysis","authors":"W. Bock, Ang Elyn Gumanoy","doi":"10.31392/mfat-npu26_4.2021.03","DOIUrl":"https://doi.org/10.31392/mfat-npu26_4.2021.03","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69692134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Remark on the Range Closures of an Elementary Operator 关于初等运算符的范围闭包的注释
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2021-01-01 DOI: 10.31392/mfat-npu26_2.2021.04
Y. Bouhafsi, M. Ech-chad, M. Missouri
{"title":"A Remark on the Range Closures of an Elementary Operator","authors":"Y. Bouhafsi, M. Ech-chad, M. Missouri","doi":"10.31392/mfat-npu26_2.2021.04","DOIUrl":"https://doi.org/10.31392/mfat-npu26_2.2021.04","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69691868","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some remarks on the generalization of orthogonality in terms of operators 关于正交性在算子上的推广的一些注释
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2021-01-01 DOI: 10.31392/mfat-npu26_4.2021.02
Bhuwan Prasad Ojha, P. M. Bajracharya
{"title":"Some remarks on the generalization of orthogonality in terms of operators","authors":"Bhuwan Prasad Ojha, P. M. Bajracharya","doi":"10.31392/mfat-npu26_4.2021.02","DOIUrl":"https://doi.org/10.31392/mfat-npu26_4.2021.02","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69692118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tensor product and variants of Weyl's type theorem for p - w -hyponormal operators p - w -次正规算子的张量积和Weyl型定理的变体
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2021-01-01 DOI: 10.31392/mfat-npu26_1.2021.10
M. Rashid
{"title":"Tensor product and variants of Weyl's type theorem for p - w -hyponormal operators","authors":"M. Rashid","doi":"10.31392/mfat-npu26_1.2021.10","DOIUrl":"https://doi.org/10.31392/mfat-npu26_1.2021.10","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69691416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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