{"title":"Perturbation Theory, M-essential Spectra of 2⨯2 Operator Matrices and Application to Transport Operators","authors":"A. Jeribi, N. Moalla, S. Yengui","doi":"10.7862/rf.2021.3","DOIUrl":"https://doi.org/10.7862/rf.2021.3","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117018719","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}
In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero iden- tity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these con- cepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.
{"title":"Some results on 2-absorbing ideals in commutative semirings","authors":"Pratibha Kumar, M. K. Dubey, Poonam Sarohe","doi":"10.7862/RF.2015.7","DOIUrl":"https://doi.org/10.7862/RF.2015.7","url":null,"abstract":"In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero iden- tity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these con- cepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120988969","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}
Let D C and 02 D. A set D is circularly symmetric if for each % 2 R + a set Df 2 C : j j = %g is one of three forms: an empty set, a whole circle, a curve symmetric with respect to the real axis containing %. A function f 2 A is circularly symmetric if f() is a circularly symmetric set. The class of all such functions we denote by X. The above denitions were given by Jenkins in (2). In this paper besides X we also consider some of its subclasses: X( ) and Y S consisting of functions in X with the second coecient xed and univalent starlike functions respectively. According to the suggestion, in Abstract we add one more paragraph at the end of the section: For X( ) we nd the radii of starlikeness, starlikeness of order , univalence and local univalence. We also obtain some distortion results. For YS we discuss some coecient problems, among others the Fekete- Szego ineqalities.
{"title":"On circularly symmetric functions","authors":"L. Koczan, P. Zaprawa","doi":"10.7862/RF.2014.6","DOIUrl":"https://doi.org/10.7862/RF.2014.6","url":null,"abstract":"Let D C and 02 D. A set D is circularly symmetric if for each % 2 R + a set Df 2 C : j j = %g is one of three forms: an empty set, a whole circle, a curve symmetric with respect to the real axis containing %. A function f 2 A is circularly symmetric if f() is a circularly symmetric set. The class of all such functions we denote by X. The above denitions were given by Jenkins in (2). In this paper besides X we also consider some of its subclasses: X( ) and Y S consisting of functions in X with the second coecient xed and univalent starlike functions respectively. According to the suggestion, in Abstract we add one more paragraph at the end of the section: For X( ) we nd the radii of starlikeness, starlikeness of order , univalence and local univalence. We also obtain some distortion results. For YS we discuss some coecient problems, among others the Fekete- Szego ineqalities.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117325628","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}
nski Abstract: We present an extension of the known one-to-one corre- spondence between Boolean algebras and Boolean rings with unit being two types of Boolean systems endowed with order and algebraic struc- tures, respectively. Two equivalent generalizations of Boolean algebras are discussed. We show that there is a one-to-one correspondence between any of the two mentioned generalized Boolean algebras and Boolean rings without unit.
{"title":"On duality between order and algebraic structures in Boolean systems","authors":"A. Dadej, K. Halik","doi":"10.7862/RF.2013.4","DOIUrl":"https://doi.org/10.7862/RF.2013.4","url":null,"abstract":"nski Abstract: We present an extension of the known one-to-one corre- spondence between Boolean algebras and Boolean rings with unit being two types of Boolean systems endowed with order and algebraic struc- tures, respectively. Two equivalent generalizations of Boolean algebras are discussed. We show that there is a one-to-one correspondence between any of the two mentioned generalized Boolean algebras and Boolean rings without unit.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123836655","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}
{"title":"Zero-sum Games on a Product of Staircase-Function Finite Spaces","authors":"V. Romanuke","doi":"10.7862/rf.2021.6","DOIUrl":"https://doi.org/10.7862/rf.2021.6","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117268394","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}
{"title":"Remarks concerning the pexiderized[0.15em] Golc{a}b--Schinzel functional equation","authors":"E. Jabłońska","doi":"10.7862/RF.2012.3","DOIUrl":"https://doi.org/10.7862/RF.2012.3","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115485612","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}
{"title":"The random of lacunary statistical on χ2 over p-metric spaces defined by Musielak","authors":"N. Subramanian, R. Babu, P. Thirunavukkarasu","doi":"10.7862/RF.2015.11","DOIUrl":"https://doi.org/10.7862/RF.2015.11","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125870190","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}
In this paper, we investigate and study the existence of solutions for perturbed functional integral equations of convolution type using Darbo’s fixed point theorem, which is associated with the measure of noncompactness in the space of Lebesgue integrable functions on R+. Finally, we offer an example to demonstrate that our abstract result is applicable. AMS Subject Classification: 45G10, 45M99, 47H09.
{"title":"On the existence of solutions of a perturbed functional integral equation in the space of Lebesgue integrable functions on R","authors":"W. Sayed, Prof. Dr. Mohamed Abdalla Darwish","doi":"10.7862/RF.2018.2","DOIUrl":"https://doi.org/10.7862/RF.2018.2","url":null,"abstract":"In this paper, we investigate and study the existence of solutions for perturbed functional integral equations of convolution type using Darbo’s fixed point theorem, which is associated with the measure of noncompactness in the space of Lebesgue integrable functions on R+. Finally, we offer an example to demonstrate that our abstract result is applicable. AMS Subject Classification: 45G10, 45M99, 47H09.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"307 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131989776","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}
: In this work we study the existence of positive monotonic solutions of a self-reference quadratic integral equation in the class of continuous real valued functions. The continuous dependence of the unique solution will be proved. Some examples will be given.
{"title":"On the Existence of Continuous Positive Monotonic Solutions of a Self-Reference Quadratic Integral Equation","authors":"A. El-Sayed, H. Ebead","doi":"10.7862/rf.2020.4","DOIUrl":"https://doi.org/10.7862/rf.2020.4","url":null,"abstract":": In this work we study the existence of positive monotonic solutions of a self-reference quadratic integral equation in the class of continuous real valued functions. The continuous dependence of the unique solution will be proved. Some examples will be given.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123891516","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}
: In this article, the solvability of fractional neutral differential equation involving ψ − Caputo fractional operator is considered using a Krasnoselskii’s fixed point approach. Also, we establish the uniqueness of the solution under certain conditions. Ulam stabilities for the proposed problem are discussed. Finally, examples are displayed to aid the applica-bility of the theory results.
{"title":"On Nonlinear Fractional Neutral Differential Equation with the ψ-Caputo Fractional Derivative","authors":"T. Nabil","doi":"10.7862/rf.2020.7","DOIUrl":"https://doi.org/10.7862/rf.2020.7","url":null,"abstract":": In this article, the solvability of fractional neutral differential equation involving ψ − Caputo fractional operator is considered using a Krasnoselskii’s fixed point approach. Also, we establish the uniqueness of the solution under certain conditions. Ulam stabilities for the proposed problem are discussed. Finally, examples are displayed to aid the applica-bility of the theory results.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"497 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124440890","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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