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Turkish Journal of Mathematics最新文献

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Lyapunov-type inequalities for $(mathtt{n},mathtt{p})$-type nonlinear fractional boundary value problems $(mathtt{n}，mathtt{p})$型非线性分数边值问题的lyapunov型不等式
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3395
P. Eloe, Muralee Bala Krushna Boddu
{"title":"Lyapunov-type inequalities for $(mathtt{n},mathtt{p})$-type nonlinear fractional boundary value problems","authors":"P. Eloe, Muralee Bala Krushna Boddu","doi":"10.55730/1300-0098.3395","DOIUrl":"https://doi.org/10.55730/1300-0098.3395","url":null,"abstract":"","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43103007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global existence, asymptotic behavior and blow up of solutions for a Kirchhoff-type equation with nonlinear boundary delay and source terms 一类具有非线性边界时滞和源项的kirchhoff型方程解的整体存在性、渐近性和爆破性
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3433
Houria Kamache, N. Boumaza, Billel Gheraibia
{"title":"Global existence, asymptotic behavior and blow up of solutions for a Kirchhoff-type equation with nonlinear boundary delay and source terms","authors":"Houria Kamache, N. Boumaza, Billel Gheraibia","doi":"10.55730/1300-0098.3433","DOIUrl":"https://doi.org/10.55730/1300-0098.3433","url":null,"abstract":": The main goal of this work is to study an initial boundary value problem for a Kirchhoff-type equation with nonlinear boundary delay and source terms. This paper is devoted to prove the global existence, decay, and the blow up of solutions. To the best of our knowledge, there are not results on the Kirchhoff type-equation with nonlinear boundary delay and source terms","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41548182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Existence and multiplicity for positive solutions of a system of first order differential equations with multipoint and integral boundary conditions 一类具有多点积分边界条件的一阶微分方程组正解的存在性和多重性
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3352
L. Ngoc, N. Long
{"title":"Existence and multiplicity for positive solutions of a system of first order differential equations with multipoint and integral boundary conditions","authors":"L. Ngoc, N. Long","doi":"10.55730/1300-0098.3352","DOIUrl":"https://doi.org/10.55730/1300-0098.3352","url":null,"abstract":": In this paper, we state and prove theorems related to the existence and multiplicity for positive solutions of a system of first order differential equations with multipoint and integral boundary conditions. The main tool is the fixed point theory. In order to illustrate the main results, we present some examples.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43804967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 properties of solutions for nonautonomous third-order stochastic differential equation with a constant delay 常时滞非自治三阶随机微分方程解的性质
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3351
A. Mahmoud, D. Bakhit
{"title":"On the properties of solutions for nonautonomous third-order stochastic differential equation with a constant delay","authors":"A. Mahmoud, D. Bakhit","doi":"10.55730/1300-0098.3351","DOIUrl":"https://doi.org/10.55730/1300-0098.3351","url":null,"abstract":": In this work, complete Lyapunov functionals (LFs) are constructed and used for the established conditions on the nonlinear functions appearing in the main equation, to guarantee stochastically asymptotically stable (SAS), uniformly stochastically bounded (USB) and uniformly exponentially asymptotically stable (UEAS) in probability of solutions to the nonautonomous third-order stochastic differential equation (SDE) with a constant delay as ... x ( t ) + a ( t ) f ( x ( t ) , ˙ x ( t ))¨ x ( t ) + b ( t ) φ (","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44442654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Novel results on trapezoid-type inequalities for conformable fractional integrals 关于保形分数积分梯形型不等式的新结果
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3371
F. Hezenci, H. Budak
{"title":"Novel results on trapezoid-type inequalities for conformable fractional integrals","authors":"F. Hezenci, H. Budak","doi":"10.55730/1300-0098.3371","DOIUrl":"https://doi.org/10.55730/1300-0098.3371","url":null,"abstract":": This paper establishes an identity for the case of differentiable s − convex functions with respect to the conformable fractional integrals. By using this identity, sundry trapezoid-type inequalities are proven by s − convex functions with the help of the conformable fractional integrals. Several important inequalities are acquired with taking advantage of the convexity, the Hölder inequality, and the power mean inequality. Moreover, an example using graph is given in order to show that our main results are correct. By using the special choices of the obtained results, we present several new results connected with trapezoid-type inequalities.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45482052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A note on "Some properties of second-order weak subdifferentials" [Turkish Journal of Mathematics (2021)45: 955-960] 关于“二阶弱子微分的一些性质”的注解[土耳其数学杂志(2021)45:955-960]
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3358
Qilin Wang, Min Liu
{"title":"A note on \"Some properties of second-order weak subdifferentials\" [Turkish Journal of Mathematics (2021)45: 955-960]","authors":"Qilin Wang, Min Liu","doi":"10.55730/1300-0098.3358","DOIUrl":"https://doi.org/10.55730/1300-0098.3358","url":null,"abstract":": In this note, we provide an example to illustrate that Proposition 2.4 in [Turkish Journal of Mathematics (2021)45: 955-960)] is incorrect, and give a modification of the proposition. Two examples are provided to illustrate the modified result. Meanwhile, we establish a convex function, and correct the proof of Theorem 2.3 in [Turkish Journal of Mathematics (2021)45: 955-960)] by the function.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45424117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Scattering solutions and scattering function of a Klein-Gordon s-wave equation with jump conditions 具有跳跃条件的Klein-Gordon s波方程的散射解和散射函数
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3390
Hali̇t Taş, Yelda Aygar Küçükevcilioğlu, Elgiz Bayram
{"title":"Scattering solutions and scattering function of a Klein-Gordon s-wave equation with jump conditions","authors":"Hali̇t Taş, Yelda Aygar Küçükevcilioğlu, Elgiz Bayram","doi":"10.55730/1300-0098.3390","DOIUrl":"https://doi.org/10.55730/1300-0098.3390","url":null,"abstract":": In this work, we are interested in a boundary value problem (BVP) generated by a Klein -Gordon equation (KG) with Jump conditions and a boundary condition. First, we introduce scattering solutions and Jost solution of the problem. Then, we give the scattering function and we prove some properties of it. Lastly, we conclude the paper by a special example","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43863084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characterizations and representations of weak core inverses and $m$-weak group inverses 弱核逆和$m$-弱群逆的表征和表示
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3440
Wende Li, Jianlong Chen, Yukun Zhou
{"title":"Characterizations and representations of weak core inverses and $m$-weak group inverses","authors":"Wende Li, Jianlong Chen, Yukun Zhou","doi":"10.55730/1300-0098.3440","DOIUrl":"https://doi.org/10.55730/1300-0098.3440","url":null,"abstract":": In a ring with an involution, we first present some necessary and sufficient conditions for the existence of the m -weak group inverse and expression. As an application, we prove that a regular element a is ( m + 1) -weak group invertible if and only if a 2 a − is m -weak group invertible, where a − is an inner inverse of a . The relevant results for weak core inverses and for pseudocore inverses are given. In addition, we present some new characterizations of weak core inverses, and also investigate maximal classes of elements determining weak core inverses.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41384803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effect of fractional analysis on some special curves 分数分析对某些特殊曲线的影响
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3438
Aykut Has, B. Yilmaz
{"title":"Effect of fractional analysis on some special curves","authors":"Aykut Has, B. Yilmaz","doi":"10.55730/1300-0098.3438","DOIUrl":"https://doi.org/10.55730/1300-0098.3438","url":null,"abstract":": In this study, the effect of fractional derivatives, whose application area is increasing day by day, on curves is investigated. As it is known, there are not many studies on a geometric interpretation of fractional calculus. When examining the effect of fractional analysis on a curve, the Caputo fractional analysis that fits the algebraic structure of differential geometry is used. This is because the Caputo fractional derivative of the constant function is zero. This is an important advantage and allows a variety of fractional physical problems to be based on a geometric basis. This effect is examined with the help of examples consistent with the theory and visualized for different values of the Caputo fractional analysis. The difference of this study from others is the use of Caputo fractional derivatives and integrals in calculations. Fractional calculus has applications in many fields such as physics, engineering, mathematical biology, fluid mechanics, signal processing, etc. Fractional derivatives and integrals have become extremely important as they give more numerical results than classical solutions in solving various problems in many fields. In addition, many problems that cannot be answered by classical analysis have been solved by Caputo fractional analysis. In this context, the curvatures of a curve are calculated by Caputo fractional analysis and obtained differently from the classical result. It is aimed to characterize the curve more accurately with the numerically more accurate calculation of the curvatures.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48245687","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 measure of noncompactness in $L_p(mathbb{R}^+)$ and applications to a product of $n$-integral equations 关于$L_p(mathbb{R}^+)$非紧性的测度及其在$n -积分方程积上的应用
IF 1 4区 数学
Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.55730/1300-0098.3365
M. Metwali, V. Mishra
{"title":"On the measure of noncompactness in $L_p(mathbb{R}^+)$ and applications to a product of $n$-integral equations","authors":"M. Metwali, V. Mishra","doi":"10.55730/1300-0098.3365","DOIUrl":"https://doi.org/10.55730/1300-0098.3365","url":null,"abstract":": In this article, we prove a new compactness criterion in the Lebesgue spaces L p ( R + ) , 1 ≤ p < ∞ and use such criteria to construct a measure of noncompactness in the mentioned spaces. The conjunction of that measure with the Hausdroff measure of noncompactness is proved on sets that are compact in finite measure. We apply such measure with a modified version of Darbo fixed point theorem in proving the existence of monotonic integrable solutions for a product of n -Hammerstein integral equations n ≥ 2","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48657347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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