Proceedings of the Institute of Mathematics and Mechanics最新文献_第7页

Calderón-Zygmund operators with kernels of Dini's type and their multilinear commutators on generalized variable exponent Morrey spaces Calderón-Zygmund广义变指数Morrey空间上的Dini型核算子及其多线性对易子

IF 1.1

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-11-15 DOI: 10.30546/2409-4994.47.2.286

引用次数: 3

ON THE ERROR OF APPROXIMATION BY RBF NEURAL NETWORKS WITH TWO HIDDEN NODES 双隐节点RBF神经网络逼近误差的研究

IF 1.1

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-11-15 DOI: 10.30546/2409-4994.47.2.226

引用次数: 0

CONVERSE THEOREM OF THE APPROXIMATION THEORY OF FUNCTIONS IN MORREY-SMIRNOV CLASSES RELATED TO THE DERIVATIVES OF FUNCTIONS 与函数导数有关的morrey-smirnov类中函数逼近理论的逆定理

IF 1.1

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-11-15 DOI: 10.30546/2409-4994.47.2.205

引用次数: 2

REVERSE INEQUALITIES FOR THE BEREZIN NUMBER OFOPERATORS 数算子的逆不等式

IF 1.1

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-09-18 DOI: 10.30546/2409-4994.48.2.2022.179

M. Garayev, H. Guediri, N. Altwaijry

引用次数: 0

HIDAYAT MAHAMMAD OGLU HUSEYNOV–70

IF 1.1

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-06-20 DOI: 10.30546/2409-4994.47.1.197

引用次数: 0

Bifurcation in nonlinear Sturm-Liouville problems with indefinite weight and spectral parameter in the boundary condition 具有不定权值和谱参数的非线性Sturm-Liouville问题的分岔

IF 1.1

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-06-20 DOI: 10.30546/2409-4994.47.1.46

Ulkar Gurbanova

引用次数: 0

On a boundary value problem for a mixed type fractional differential equations with parameters 一类带参数的混合型分数阶微分方程的边值问题

IF 1.1

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-06-20 DOI: 10.30546/2409-4994.47.1.112

T. Yuldashev, B. J. Kadirkulov

{"title":"On a boundary value problem for a mixed type fractional differential equations with parameters","authors":"T. Yuldashev, B. J. Kadirkulov","doi":"10.30546/2409-4994.47.1.112","DOIUrl":"https://doi.org/10.30546/2409-4994.47.1.112","url":null,"abstract":"In this paper, we consider a boundary value problem for a mixed type partial differential equation with Hilfer operator of fractional integro-differentiation in a positive rectangular domain and with spectral parameter in a negative rectangular domain. The mixed differential equation depends from another positive small parameter in mixed derivatives. The considering mixed type differential equation brings to a spectral problem for a second order differential equation with respect to the second variable. Regarding the first variable, this equation is an ordinary fractional differential equation in the positive part of the considering segment, and is a second-order ordinary differential equation with spectral parameter in the negative part of this segment. Using the spectral method of separation of variables, the solution of the boundary value problem is constructed in the form of a Fourier series. Theorems on the existence and uniqueness of the problem are proved for regular values of the spectral parameter. It is proved the stability of solution with respect to boundary function and with respect to small positive parameter given in mixed derivatives. For irregular values of the spectral parameter, an infinite number of solutions in the form of a Fourier series are constructed. 1. Problem statement In a rectangular domain Ω = {(t, x) : −a < t < b, 0 < x < l} we consider the fractional partial differential equation of mixed type 0 =  ( D α, γ − ν D α, γ ∂2 ∂ x2 − ∂2 ∂ x2 ) U (t, x), (t, x) ∈ Ω 1, ( ∂ 2 ∂ t 2 − ν ∂ 4 ∂ t 2 ∂ x 2 − ω2 ∂ 2 ∂ x 2 ) U (t, x), (t, x) ∈ Ω 2, (1.1) where Ω 1 = {(t, x) : 0 < t < b, 0 < x < l}, Ω 2 = {(t, x) : −a < t < 0, 0 < x < l}, ν is positive parameter, ω is positive spectral parameter, a, b are positive real numbers, D γ = Jγ−α 0+ d dt J1−γ 0+ , 0 < α ≤ γ ≤ 1 2010 Mathematics Subject Classification. 35M12, 35J25, 35L20, 30E20, 45E05.","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"53 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75710822","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: 6

Solutions for a Nabla Fractional Boundary Value Problem with Discrete Mittag--Leffler Kernel 一类具有离散Mittag- Leffler核的Nabla分数边值问题的解

IF 1.1

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-06-20 DOI: 10.30546/2409-4994.47.1.3

J. Jonnalagadda, D. Baleanu

引用次数: 0

Direct and Inverse Theorems in Variable Exponent Smirnov Classes 变指数Smirnov类的正反定理

IF 1.1

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-06-20 DOI: 10.30546/2409-4994.47.1.55

D. Israfilov, Elife Gursel

引用次数: 1

A note on the Schrodinger operator with exponential potential 关于具有指数势的薛定谔算子的一个注记