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On the Qualitative Behavior of the Difference Equation $delta _{m+1}=omega +zeta frac{f(delta _{m},delta _{m-1})}{delta _{m-1}^{beta}}$ 关于差分方程的定性行为 $delta _{m+1}=omega +zeta frac{f(delta _{m},delta _{m-1})}{delta _{m-1}^{beta}}$
Mathematical Sciences and Applications E-Notes Pub Date : 2023-03-28 DOI: 10.36753/mathenot.1243583
M. Gümüş, Şeyma Irmak Eği̇lmez
{"title":"On the Qualitative Behavior of the Difference Equation $delta _{m+1}=omega +zeta frac{f(delta _{m},delta _{m-1})}{delta _{m-1}^{beta}}$","authors":"M. Gümüş, Şeyma Irmak Eği̇lmez","doi":"10.36753/mathenot.1243583","DOIUrl":"https://doi.org/10.36753/mathenot.1243583","url":null,"abstract":"In this paper, we aim to investigate the qualitative behavior of a general class of non-linear difference equations. That is, the prime period two solutions, the prime period three solutions and the stability character are examined. We also use a new technique introduced in [1] by E. M. Elsayed and later developed by O. Moaaz in [2] to examine the existence of periodic solutions of these general equations. Moreover, we use homogeneous functions for the investigation of the dynamics of the aforementioned equations.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127841732","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
Domain of Jordan Totient Matrix in the Space of Almost Convergent Sequences 概收敛序列空间中约当矩阵的定义域
Mathematical Sciences and Applications E-Notes Pub Date : 2022-12-22 DOI: 10.36753/mathenot.1022886
Merve İlkhan Kara, Gizemnur Örnek
{"title":"Domain of Jordan Totient Matrix in the Space of Almost Convergent Sequences","authors":"Merve İlkhan Kara, Gizemnur Örnek","doi":"10.36753/mathenot.1022886","DOIUrl":"https://doi.org/10.36753/mathenot.1022886","url":null,"abstract":"In this paper, the notion of almost convergence is used to obtain a space as the domain of a regular matrix. After defining a new type of core for\u0000complex-valued sequences, certain inclusion theorems are proved.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121978813","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 soft set approach to relations and its application to decision making 关系的软集方法及其在决策中的应用
Mathematical Sciences and Applications E-Notes Pub Date : 2022-11-12 DOI: 10.36753/mathenot.1172408
Kemal Taşköprü, Elif Karaköse
{"title":"A soft set approach to relations and its application to decision making","authors":"Kemal Taşköprü, Elif Karaköse","doi":"10.36753/mathenot.1172408","DOIUrl":"https://doi.org/10.36753/mathenot.1172408","url":null,"abstract":"One of the most useful mathematical tools for examining the relationships among objects is the concept of relations. Besides, it can also be necessary to throw light on uncertainties in these relationships. Soft set theory, in which different approaches used in defining the notions bring about different applications in many areas, enables to overcome uncertainties. The purpose of this paper is to define soft relations in a different way and to give a decision making method using the concept of soft relations. For this purpose, firstly, the soft relations are defined on the collection of soft elements, unlike the previous ones. After their basic properties are provided, the correspondence between the soft relations and the classical relations is investigated and some examples are given. Finally, an algorithm is proposed using the soft relations for solving decision making problems, where the decision is related to other circumstances, and given an illustrative example.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"125 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115488950","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: 1
Fibonacci Lacunary Ideal Convergence of Double Sequences in Intuitionistic Fuzzy Normed Linear Spaces 直觉模糊赋范线性空间中二重序列的Fibonacci理想收敛性
Mathematical Sciences and Applications E-Notes Pub Date : 2022-09-01 DOI: 10.36753/mathenot.931071
Ö. Kişi
{"title":"Fibonacci Lacunary Ideal Convergence of Double Sequences in Intuitionistic Fuzzy Normed Linear Spaces","authors":"Ö. Kişi","doi":"10.36753/mathenot.931071","DOIUrl":"https://doi.org/10.36753/mathenot.931071","url":null,"abstract":"The purpose of this article is to research the concept of Fibonacci lacunary ideal convergence of double sequences in intuitionistic fuzzy normed linear spaces (IFNS). Additionally, a new concept, called Fibonacci lacunary convergence, is examined. Fibonacci lacunary I 2 -limit points and Fibonacci lacunary I 2 -cluster points for double sequences in IFNS have been defined and the significant results have been given. Additionally, Fibonacci lacunary Cauchy and Fibonacci lacunary I 2 -Cauchy double sequences in IFNS are worked.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131192078","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
Computing Eigenvalues of Sturm--Liouville Operators with a Family of Trigonometric Polynomial Potentials 一类三角多项式势的Sturm—Liouville算子特征值的计算
Mathematical Sciences and Applications E-Notes Pub Date : 2022-08-02 DOI: 10.36753/mathenot.1110497
C. Nur
{"title":"Computing Eigenvalues of Sturm--Liouville Operators with a Family of Trigonometric Polynomial Potentials","authors":"C. Nur","doi":"10.36753/mathenot.1110497","DOIUrl":"https://doi.org/10.36753/mathenot.1110497","url":null,"abstract":"We provide estimates for the periodic and antiperiodic eigenvalues of non-self-adjoint Sturm--Liouville operators with a family of complex-valued trigonometric polynomial potentials. We even approximate complex eigenvalues by the roots of some polynomials derived from some iteration formulas. Moreover, we give numerical examples with error analysis.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129890226","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
Approximation for $q$-Chlodowsky Operators via Statistical Convergence with Respect to Power Series Method 基于幂级数法的q -Chlodowsky算子的统计收敛逼近
Mathematical Sciences and Applications E-Notes Pub Date : 2022-06-01 DOI: 10.36753/mathenot.992220
Halime Taşer, T. Yurdakadim
{"title":"Approximation for $q$-Chlodowsky Operators via Statistical Convergence with Respect to Power Series Method","authors":"Halime Taşer, T. Yurdakadim","doi":"10.36753/mathenot.992220","DOIUrl":"https://doi.org/10.36753/mathenot.992220","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125131996","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
Group Invariant Solutions and Local Conservation Laws of Heat Conduction Equation Arising Laser Heating Carbon Nanotubes Using Lie Group Analysis 用李群分析激光加热碳纳米管热传导方程的群不变解和局部守恒律
Mathematical Sciences and Applications E-Notes Pub Date : 2022-06-01 DOI: 10.36753/mathenot.926867
E. Yaşar, Y. Yıldırım
{"title":"Group Invariant Solutions and Local Conservation Laws of Heat Conduction Equation Arising Laser Heating Carbon Nanotubes Using Lie Group Analysis","authors":"E. Yaşar, Y. Yıldırım","doi":"10.36753/mathenot.926867","DOIUrl":"https://doi.org/10.36753/mathenot.926867","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128337970","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: 1
An Analytical Approach to an Elastic Circular Rod Equation 弹性圆杆方程的一种解析方法
Mathematical Sciences and Applications E-Notes Pub Date : 2022-03-02 DOI: 10.36753/mathenot.799596
Zehra Pinar
{"title":"An Analytical Approach to an Elastic Circular Rod Equation","authors":"Zehra Pinar","doi":"10.36753/mathenot.799596","DOIUrl":"https://doi.org/10.36753/mathenot.799596","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117285994","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 Existence of the Solutions of A Nonlinear Fredholm Integral Equation in Hölder Spaces Hölder空间中一类非线性Fredholm积分方程解的存在性
Mathematical Sciences and Applications E-Notes Pub Date : 2022-03-02 DOI: 10.36753/mathenot.756916
Merve Temizer Ersoy
{"title":"On the Existence of the Solutions of A Nonlinear Fredholm Integral Equation in Hölder Spaces","authors":"Merve Temizer Ersoy","doi":"10.36753/mathenot.756916","DOIUrl":"https://doi.org/10.36753/mathenot.756916","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122805207","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: 1
Local Asymptotic Stability and Sensitivity Analysis of a New Mathematical Epidemic Model Without Immunity 一种新的无免疫传染病数学模型的局部渐近稳定性及灵敏度分析
Mathematical Sciences and Applications E-Notes Pub Date : 2022-03-02 DOI: 10.36753/mathenot.935016
Sümeyye Çakan
{"title":"Local Asymptotic Stability and Sensitivity Analysis of a New Mathematical Epidemic Model Without Immunity","authors":"Sümeyye Çakan","doi":"10.36753/mathenot.935016","DOIUrl":"https://doi.org/10.36753/mathenot.935016","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116562236","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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