Transactions of A Razmadze Mathematical Institute最新文献

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Impulsive integro-differential equations with nonlocal conditions in Banach spaces Banach空间中具有非局部条件的脉冲积分微分方程
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-12-01 DOI: 10.1016/j.trmi.2016.12.002
Mouhamadou Alpha Diallo , Khalil Ezzinbi , Abdoulaye Séne
{"title":"Impulsive integro-differential equations with nonlocal conditions in Banach spaces","authors":"Mouhamadou Alpha Diallo ,&nbsp;Khalil Ezzinbi ,&nbsp;Abdoulaye Séne","doi":"10.1016/j.trmi.2016.12.002","DOIUrl":"10.1016/j.trmi.2016.12.002","url":null,"abstract":"<div><p>In this work, we give sufficient conditions for the existence of a mild solution for some impulsive integro-differential equations in Banach spaces. We study the existence without assuming the Lipschitz condition on the nonlinear term <span><math><mi>f</mi></math></span>. The compactness on the <span><math><msub><mrow><mi>C</mi></mrow><mrow><mn>0</mn></mrow></msub><mtext>-</mtext><mi>s</mi><mi>e</mi><mi>m</mi><mi>i</mi><mi>g</mi><mi>r</mi><mi>o</mi><mi>u</mi><mi>p</mi><mspace></mspace><mspace></mspace><msub><mrow><mrow><mo>(</mo><mi>T</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>)</mo></mrow></mrow><mrow><mi>t</mi><mo>≥</mo><mn>0</mn></mrow></msub></math></span> in a Banach space is not needed. We use Hausdorff’s measure of noncompactness, resolvent operators and Darbo’s fixed point Theorem to obtain the main result of this work.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 3","pages":"Pages 304-315"},"PeriodicalIF":0.2,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2016.12.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42395477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
The existence of solution for equilibrium problems in Hadamard manifolds Hadamard流形平衡问题解的存在性
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-12-01 DOI: 10.1016/j.trmi.2017.04.001
Salahuddin
{"title":"The existence of solution for equilibrium problems in Hadamard manifolds","authors":"Salahuddin","doi":"10.1016/j.trmi.2017.04.001","DOIUrl":"10.1016/j.trmi.2017.04.001","url":null,"abstract":"<div><p>In this work,we consider iterative methods for solving a class of <em>equilibrium problems in Hadamard Manifolds</em> by using the auxiliary principle techniques. We also discuss the convergence of sequences generated by the algorithms.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 3","pages":"Pages 381-388"},"PeriodicalIF":0.2,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.04.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45380225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Some generalized Ostrowski type inequalities for functions whose second derivatives absolute values are convex and applications 二阶导数绝对值为凸函数的广义Ostrowski型不等式及其应用
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-12-01 DOI: 10.1016/j.trmi.2017.06.002
Yusuf Erdem , Hüseyin Budak , Hasan Öğünmez
{"title":"Some generalized Ostrowski type inequalities for functions whose second derivatives absolute values are convex and applications","authors":"Yusuf Erdem ,&nbsp;Hüseyin Budak ,&nbsp;Hasan Öğünmez","doi":"10.1016/j.trmi.2017.06.002","DOIUrl":"10.1016/j.trmi.2017.06.002","url":null,"abstract":"<div><p>We first establish some Ostrowski type inequalities for mappings whose second derivatives absolute values are convex. Then we give some special cases of these inequalities which provide extensions of those given in earlier works. Finally, some applications of these inequalities for special means are also provided.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 3","pages":"Pages 316-327"},"PeriodicalIF":0.2,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.06.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42190295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Homogeneous functions: New characterization and applications 齐次函数:新的特性和应用
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-08-01 DOI: 10.1016/j.trmi.2016.12.006
Moncef Elghribi , Hakeem A. Othman , Al-Hossain Ahmed Al-Nashri
{"title":"Homogeneous functions: New characterization and applications","authors":"Moncef Elghribi ,&nbsp;Hakeem A. Othman ,&nbsp;Al-Hossain Ahmed Al-Nashri","doi":"10.1016/j.trmi.2016.12.006","DOIUrl":"10.1016/j.trmi.2016.12.006","url":null,"abstract":"<div><p>Positive homogeneous functions on <span><math><mi>R</mi></math></span> of a negative degree are characterized by a new counterpart of the Euler’s homogeneous function theorem using quantum calculus and replacing the classical derivative operator by Jackson derivative. As application we start by characterizing the harmonic functions associated to Jackson derivative. Then, the solution of the Cauchy problem associated to the analogue of the Euler operator is given. Using this solution we study the associated <span><math><mi>ν</mi></math></span>-potential. Its Markovianity property is treated.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 2","pages":"Pages 171-181"},"PeriodicalIF":0.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2016.12.006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42592921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Fractional integrals and solution of fractional kinetic equations involving k-Mittag-Leffler function 涉及k-Mittag-Leffler函数的分数阶动力学方程的分数阶积分与解
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-08-01 DOI: 10.1016/j.trmi.2017.03.003
Mehar Chand , Jyotindra C. Prajapati , Ebenezer Bonyah
{"title":"Fractional integrals and solution of fractional kinetic equations involving k-Mittag-Leffler function","authors":"Mehar Chand ,&nbsp;Jyotindra C. Prajapati ,&nbsp;Ebenezer Bonyah","doi":"10.1016/j.trmi.2017.03.003","DOIUrl":"10.1016/j.trmi.2017.03.003","url":null,"abstract":"<div><p>In this paper, our main objective is to establish certain new fractional integral by applying the Saigo hypergeometric fractional integral operators and by employing some integral transforms on the resulting formulas, we presented their image formulas involving the product of the generalized <span><math><mi>k</mi></math></span>-Mittag-Leffler function. Furthermore, We develop a new and further generalized form of the fractional kinetic equation involving the product of the generalized <span><math><mi>k</mi></math></span>-Mittag-Leffler function. The manifold generality of the generalized <span><math><mi>k</mi></math></span>-Mittag-Leffler function is discussed in terms of the solution of the fractional kinetic equation and their graphical interpretation is interpreted in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 2","pages":"Pages 144-166"},"PeriodicalIF":0.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.03.003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43870095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponent 变指数Herz空间上参数化Littlewood-Paley算子的高阶对易子
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-08-01 DOI: 10.1016/j.trmi.2017.03.002
Hongbin Wang , Yihong Wu
{"title":"Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponent","authors":"Hongbin Wang ,&nbsp;Yihong Wu","doi":"10.1016/j.trmi.2017.03.002","DOIUrl":"10.1016/j.trmi.2017.03.002","url":null,"abstract":"<div><p>Let <span><math><mi>Ω</mi><mo>∈</mo><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mrow><mo>(</mo><msup><mrow><mi>S</mi></mrow><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>)</mo></mrow></math></span> be a homogeneous function of degree zero and <span><math><mi>b</mi></math></span> be a BMO or Lipschitz function. In this paper, we obtain some boundedness of the parametrized Littlewood–Paley operators and their high-order commutators on Herz spaces with variable exponent.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 2","pages":"Pages 238-251"},"PeriodicalIF":0.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.03.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43389014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A companion of Ostrowski type inequalities for mappings of bounded variation and some applications 有界变差映射的OSTROWSKI型不等式的伴随及其应用
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-08-01 DOI: 10.1016/j.trmi.2017.03.004
Hüseyin Budak, Mehmet Zeki Sarikaya
{"title":"A companion of Ostrowski type inequalities for mappings of bounded variation and some applications","authors":"Hüseyin Budak,&nbsp;Mehmet Zeki Sarikaya","doi":"10.1016/j.trmi.2017.03.004","DOIUrl":"10.1016/j.trmi.2017.03.004","url":null,"abstract":"<div><p>In this paper, we establish a companion of Ostrowski type inequalities for mappings of bounded variation and the quadrature formula is also provided.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 2","pages":"Pages 136-143"},"PeriodicalIF":0.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.03.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46596205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 17
On non-absolute type spaces and their Köthe-Toeplitz duals 关于非绝对类型空间及其Köthe-Toeplitz对偶
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-08-01 DOI: 10.1016/j.trmi.2017.02.002
Kuldip Raj, Seema Jamwal
{"title":"On non-absolute type spaces and their Köthe-Toeplitz duals","authors":"Kuldip Raj,&nbsp;Seema Jamwal","doi":"10.1016/j.trmi.2017.02.002","DOIUrl":"10.1016/j.trmi.2017.02.002","url":null,"abstract":"<div><p>In this paper, we introduce and study some non-absolute type spaces <span><math><msub><mrow><mi>l</mi></mrow><mrow><mi>∞</mi></mrow></msub><mrow><mo>(</mo><mi>u</mi><mo>,</mo><mi>λ</mi><mo>,</mo><msubsup><mrow><mi>Δ</mi></mrow><mrow><mi>v</mi></mrow><mrow><mi>m</mi></mrow></msubsup><mo>)</mo></mrow></math></span>, <span><math><msub><mrow><mi>c</mi></mrow><mrow><mn>0</mn></mrow></msub><mrow><mo>(</mo><mi>u</mi><mo>,</mo><mi>λ</mi><mo>,</mo><msubsup><mrow><mi>Δ</mi></mrow><mrow><mi>v</mi></mrow><mrow><mi>m</mi></mrow></msubsup><mo>)</mo></mrow></math></span> and <span><math><mi>c</mi><mrow><mo>(</mo><mi>u</mi><mo>,</mo><mi>λ</mi><mo>,</mo><msubsup><mrow><mi>Δ</mi></mrow><mrow><mi>v</mi></mrow><mrow><mi>m</mi></mrow></msubsup><mo>)</mo></mrow></math></span>, which are <span><math><mstyle><mi>BK</mi></mstyle></math></span>-spaces. Moreover, we prove that these spaces are linearly isomorphic to the spaces <span><math><msub><mrow><mi>l</mi></mrow><mrow><mi>∞</mi></mrow></msub><mo>,</mo><mspace></mspace><msub><mrow><mi>c</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> and <span><math><mi>c</mi></math></span>. We also make an effort to establish some inclusion relations between these spaces. Furthermore, we find the Schauder basis for these spaces and also determine the <span><math><mi>α</mi></math></span>-, <span><math><mi>β</mi></math></span>- and <span><math><mi>γ</mi></math></span>-duals of these spaces.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 2","pages":"Pages 212-220"},"PeriodicalIF":0.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.02.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45371612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fixed point results for generalized (ψ,ϕ)-weak contractions with an application to system of non-linear integral equations 广义(ψ, φ)-弱收缩的不动点结果及其在非线性积分方程组中的应用
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-08-01 DOI: 10.1016/j.trmi.2017.02.001
Noor Jamal , Muhammad Sarwar , Mohammad Imdad
{"title":"Fixed point results for generalized (ψ,ϕ)-weak contractions with an application to system of non-linear integral equations","authors":"Noor Jamal ,&nbsp;Muhammad Sarwar ,&nbsp;Mohammad Imdad","doi":"10.1016/j.trmi.2017.02.001","DOIUrl":"10.1016/j.trmi.2017.02.001","url":null,"abstract":"<div><p>The aim of this paper is to prove fixed point results under <span><math><mrow><mo>(</mo><mi>ψ</mi><mo>,</mo><mi>ϕ</mi><mo>)</mo></mrow></math></span>-weak contractive condition for continuous weak compatible mappings in ordered <span><math><mi>b</mi></math></span>-metric spaces. The results proved herein generalize, modify and unify some recent results of the existing literature. An application demonstrating the usability of our established results is also discussed besides furnishing an illustrative example.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 2","pages":"Pages 182-194"},"PeriodicalIF":0.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.02.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49013135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
MHD flow and heat transfer characteristics of Williamson nanofluid over a stretching sheet with variable thickness and variable thermal conductivity Williamson纳米流体在变厚度变导热拉伸薄片上的MHD流动和传热特性
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2017-08-01 DOI: 10.1016/j.trmi.2017.02.004
Srinivas Reddy C , Kishan Naikoti , Mohammad Mehdi Rashidi
{"title":"MHD flow and heat transfer characteristics of Williamson nanofluid over a stretching sheet with variable thickness and variable thermal conductivity","authors":"Srinivas Reddy C ,&nbsp;Kishan Naikoti ,&nbsp;Mohammad Mehdi Rashidi","doi":"10.1016/j.trmi.2017.02.004","DOIUrl":"10.1016/j.trmi.2017.02.004","url":null,"abstract":"<div><p>The magneto hydrodynamic boundary layer flow with heat and mass transfer of Williamson nanofluid over a stretching sheet with variable thickness and variable thermal conductivity under the radiation effect is examined. It is assumed that the sheet is non-flat. The governing partial differential equations are reduced to nonlinear coupled ordinary differential equations by applying the suitable similarity transformations. These nonlinear coupled ordinary differential equations, subject to the appropriate boundary conditions, are then solved by using spectral quasi-linearisation method (SQLM). The effects of the physical parameters on the flow, heat transfer and nanoparticle concentration characteristics of the problem are presented through graphs and are discussed in detailed. Numerical values of skin friction co-efficient and Nusselt number with different parameters were computed and analysed.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"171 2","pages":"Pages 195-211"},"PeriodicalIF":0.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.02.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42998445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 103
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