Pub Date : 2023-03-28DOI: 10.36753/mathenot.1243583
M. Gümüş, Şeyma Irmak Eği̇lmez
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.
本文的目的是研究一类一般非线性差分方程的定性性质。即对素数周期二解、素数周期三解及其稳定性进行了研究。我们还使用E. M. Elsayed在[1]中引入的一种新技术，后来由O. Moaaz在[2]中发展起来，来检验这些一般方程周期解的存在性。此外，我们使用齐次函数来研究上述方程的动力学。
{"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}
Pub Date : 2022-12-22DOI: 10.36753/mathenot.1022886
Merve İlkhan Kara, Gizemnur Örnek
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 complex-valued sequences, certain inclusion theorems are proved.
本文利用概收敛的概念，得到了正则矩阵的定义域。在定义了复值序列的一类新的核后，证明了若干包含定理。
{"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}
Pub Date : 2022-11-12DOI: 10.36753/mathenot.1172408
Kemal Taşköprü, Elif Karaköse
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.
{"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}
Pub Date : 2022-09-01DOI: 10.36753/mathenot.931071
Ö. Kişi
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.
{"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}
Pub Date : 2022-08-02DOI: 10.36753/mathenot.1110497
C. Nur
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.
{"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}
Pub Date : 2022-06-01DOI: 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}
Pub Date : 2022-06-01DOI: 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}
Pub Date : 2022-03-02DOI: 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}
Pub Date : 2022-03-02DOI: 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}
Pub Date : 2022-03-02DOI: 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}
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