Ghassan A. Al-Juaifri, Anas Al-Haboobi, Jaafar M. Al-Ghabban
In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations. This paper’s aim is programming a Variational Iteration Method (VIM) using Wolfram’s Mathematica. Variational Iteration Method offers a study that introduce approximated solutions of the multi-order ordinary differential equations. Several examples of different order have been resolved. AMS Subject Classification: 12H20, 35A15, 34A30, 34A34
{"title":"PROGRAMMING VARIATIONAL ITERATION METHOD VIA WOLFRAM-MATHEMATICA FOR SOLVING MULTI-ORDER DIFFERENTIAL EQUATIONS","authors":"Ghassan A. Al-Juaifri, Anas Al-Haboobi, Jaafar M. Al-Ghabban","doi":"10.12732/ijam.v32i5.6","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.6","url":null,"abstract":"In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations. This paper’s aim is programming a Variational Iteration Method (VIM) using Wolfram’s Mathematica. Variational Iteration Method offers a study that introduce approximated solutions of the multi-order ordinary differential equations. Several examples of different order have been resolved. AMS Subject Classification: 12H20, 35A15, 34A30, 34A34","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"39 1","pages":"785"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81112169","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}
This is a critical note sent to Editor-in-Chief of the journal. The comments are based on a personal view of the author, on whose works the discussed paper is based in parts. AMS Subject Classification: 34A12, 34G10, 34K10, 35J40, 47D03
{"title":"ERRATUM TO: ``CONDITIONAL SOLVABILITY OF THE BOUNDARY VALUE PROBLEM OF A SELF-ADJOINT OPERATOR-DIFFERENTIAL EQUATIONS IN A SOBOLEV-TYPE SPACE'',In: emph{Int. J. Appl. Math.}, {bf 32}, No 3 (2019), 469-478; by M.A. Labeeb, A.B.I. Ahmed, L. Rashed; doi: 10.12732/ijam.v32i3.8","authors":"A. R. Aliev","doi":"10.12732/ijam.v32i5.14","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.14","url":null,"abstract":"This is a critical note sent to Editor-in-Chief of the journal. The comments are based on a personal view of the author, on whose works the discussed paper is based in parts. AMS Subject Classification: 34A12, 34G10, 34K10, 35J40, 47D03","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"88 1","pages":"881"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75884909","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":"MATHEMATICAL DESCRIPTION OF THE NON-EQUILIBRIUM STATE OF SYMMETRIC PARTICLE SYSTEMS","authors":"H. M. Hubal","doi":"10.12732/IJAM.V32I5.4","DOIUrl":"https://doi.org/10.12732/IJAM.V32I5.4","url":null,"abstract":"","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"74 1","pages":"767"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80474019","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}
This paper analyzes the Plant-Soil Models with functional nitrogen uptake kinetics. In this work we focus on the effects of using different forms of nitrogen uptake kinetic function for the dynamics of Plant-Soil model including Holling type II and III. We present the derivations of these two different type of functional kinetics for the general enzyme-substrate reaction process. For the Plant-Soil Model the local existence and positive invariance of the solution are investigated. Also some conditions to guarantee that the model possesses a unique positive equilibrium point are suggested. AMS Subject Classification: 34A12, 34C11
{"title":"ANALYSIS OF PLANT-SOIL MODELS WITH VARIOUS FUNCTIONAL NITROGEN UPTAKE KINETICS","authors":"Jeongwook Chang, Seong-a Shim","doi":"10.12732/ijam.v32i5.2","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.2","url":null,"abstract":"This paper analyzes the Plant-Soil Models with functional nitrogen uptake kinetics. In this work we focus on the effects of using different forms of nitrogen uptake kinetic function for the dynamics of Plant-Soil model including Holling type II and III. We present the derivations of these two different type of functional kinetics for the general enzyme-substrate reaction process. For the Plant-Soil Model the local existence and positive invariance of the solution are investigated. Also some conditions to guarantee that the model possesses a unique positive equilibrium point are suggested. AMS Subject Classification: 34A12, 34C11","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"3 1","pages":"747"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88758353","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}
A pseudo magic square (PMS) of order n is an n×n square matrix whose entries are integers such that the sum of the numbers of any row and any column is the same number, the magic constant. It is a generalization of the concept of magic squares. In this paper we investigate new algebraic structures of PMS’s. We explore the group structure of PMS’s to show that the quotient of the group of PMS’s of order n by its subgroup with zero constant is isomorphic to the infinite additive group of integers, where theisomorphism is constructed by means of the magic constants of the corresponding PMS’s. We investigate the ring structure of PMS’s to characterize nilpotent and idempotent PMS’s as well as we show that the set of PMS’s of zero constant is a two-sided ideal in the ring of PMS’s. Thus, we can define the quotient ring of PMS’s. Moreover, we introduce an invariant and a weak invariant of PMS’s and show some results derived from such definitions. In particular, we show that the set of weak invariants of PMS’s forms a Z-module under the pointwise addition and scalar multiplication. AMS Subject Classification: 15B36
{"title":"NEW STRUCTURES IN PSEUDO MAGIC SQUARES","authors":"G. L. Guardia","doi":"10.12732/ijam.v32i5.13","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.13","url":null,"abstract":"A pseudo magic square (PMS) of order n is an n×n square matrix whose entries are integers such that the sum of the numbers of any row and any column is the same number, the magic constant. It is a generalization of the concept of magic squares. In this paper we investigate new algebraic structures of PMS’s. We explore the group structure of PMS’s to show that the quotient of the group of PMS’s of order n by its subgroup with zero constant is isomorphic to the infinite additive group of integers, where theisomorphism is constructed by means of the magic constants of the corresponding PMS’s. We investigate the ring structure of PMS’s to characterize nilpotent and idempotent PMS’s as well as we show that the set of PMS’s of zero constant is a two-sided ideal in the ring of PMS’s. Thus, we can define the quotient ring of PMS’s. Moreover, we introduce an invariant and a weak invariant of PMS’s and show some results derived from such definitions. In particular, we show that the set of weak invariants of PMS’s forms a Z-module under the pointwise addition and scalar multiplication. AMS Subject Classification: 15B36","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"21 1","pages":"881"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87318149","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}
A binary random multicyclic sequence is determined by a Boolean function of r variables and r independent binary random cyclic sequences with period lengthsm1, . . . ,mr. We obtain the limit distribution of the number of 1’s per cycle of a multicyclic sequence in the case when the numbers m1, . . . ,mr → ∞ and the number of 1’s for each sequence has its own limit distribution. AMS Subject Classification: 60F05, 94B12, 14G50
{"title":"ON THE NUMBER OF 1'S PER CYCLE OF A BINARY RANDOM MULTICYCLIC SEQUENCE","authors":"N. Mezhennaya, V. Mikhailov","doi":"10.12732/ijam.v32i5.10","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.10","url":null,"abstract":"A binary random multicyclic sequence is determined by a Boolean function of r variables and r independent binary random cyclic sequences with period lengthsm1, . . . ,mr. We obtain the limit distribution of the number of 1’s per cycle of a multicyclic sequence in the case when the numbers m1, . . . ,mr → ∞ and the number of 1’s for each sequence has its own limit distribution. AMS Subject Classification: 60F05, 94B12, 14G50","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"46 1","pages":"835"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86855891","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 : 2018-09-01DOI: 10.23883/ijrter.2017.3341.xdfua
Y. Tidli, M. Belam
Conditions are given for a Banach algebra A with involution which insure that every derivation on A is continuous. To do this, we define and study on a concept called -primeness.
{"title":"AUTOMATIC CONTINUITY OF DERIVATIONS ON $sigma$-PRIME BANACH ALGEBRAS","authors":"Y. Tidli, M. Belam","doi":"10.23883/ijrter.2017.3341.xdfua","DOIUrl":"https://doi.org/10.23883/ijrter.2017.3341.xdfua","url":null,"abstract":"Conditions are given for a Banach algebra A with involution which insure that every derivation on A is continuous. To do this, we define and study on a concept called -primeness.","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"17 1","pages":"215-221"},"PeriodicalIF":0.0,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86613690","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":"$gamma*-$OPERATION IN THE PRODUCT OF TOPOLOGICAL SPACES","authors":"S. Haxha, Q. Gjonbalaj","doi":"10.12732/IJAM.V31I4.11","DOIUrl":"https://doi.org/10.12732/IJAM.V31I4.11","url":null,"abstract":"","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"29 1","pages":"661-672"},"PeriodicalIF":0.0,"publicationDate":"2018-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84128333","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}
By using the tools of derivatives with respect to the domain and the Bernoulli’s free boundary problem for Laplacian operator we give sufficient conditions in the case of placement obstacle problems for Laplacian Dirichlet eigenvalue. AMS Subject Classification: 48A60, 49A80, 83Q15, 59K46, 95C41, 59N55
{"title":"THE PROBLEM OF OBSTACLE FOR THE FUNDAMENTAL EIGENVALUE","authors":"B. Mohamed, Y. Abdelhaye","doi":"10.12732/ijam.v31i4.7","DOIUrl":"https://doi.org/10.12732/ijam.v31i4.7","url":null,"abstract":"By using the tools of derivatives with respect to the domain and the Bernoulli’s free boundary problem for Laplacian operator we give sufficient conditions in the case of placement obstacle problems for Laplacian Dirichlet eigenvalue. AMS Subject Classification: 48A60, 49A80, 83Q15, 59K46, 95C41, 59N55","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"39 1","pages":"613-625"},"PeriodicalIF":0.0,"publicationDate":"2018-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80720896","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 : 2018-07-01DOI: 10.18488/JOURNAL.24/2016.5.2/24.2.131.137
P. A. Pathade, K. Ghadle
A fuzzy transportation problem (FTP) includes cost, supply and demand of transportation problems. Its numbers are fuzzy numbers. Fuzzy transportation problem works to reduce transportation cost of some commodities through a capacitate network. Present research paper points out a technique with an alpha cut, optimal solution for solving transportation problem. We suggest a technique to find the fuzzy optimal solution on scales of transportation problem and propose a new hexagonal representation of fuzzy numbers. In general, the comparison of balanced fuzzy transportation problem (BFTP) and unbalanced fuzzy transportation problem (UFTP) shows that the optimal transportation cost of UFTP is less than BFTP.
{"title":"OPTIMAL SOLUTION OF BALANCED AND UNBALANCED FUZZY TRANSPORTATION PROBLEM BY USING OCTAGONAL FUZZY NUMBERS","authors":"P. A. Pathade, K. Ghadle","doi":"10.18488/JOURNAL.24/2016.5.2/24.2.131.137","DOIUrl":"https://doi.org/10.18488/JOURNAL.24/2016.5.2/24.2.131.137","url":null,"abstract":"A fuzzy transportation problem (FTP) includes cost, supply and demand of transportation problems. Its numbers are fuzzy numbers. Fuzzy transportation problem works to reduce transportation cost of some commodities through a capacitate network. Present research paper points out a technique with an alpha cut, optimal solution for solving transportation problem. We suggest a technique to find the fuzzy optimal solution on scales of transportation problem and propose a new hexagonal representation of fuzzy numbers. In general, the comparison of balanced fuzzy transportation problem (BFTP) and unbalanced fuzzy transportation problem (UFTP) shows that the optimal transportation cost of UFTP is less than BFTP.","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"73 1","pages":"617-625"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86254106","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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