{"title":"On the solution of partial differential equations using the Sumudu transform","authors":"Roberto Pulmano Briones","doi":"10.12988/ijma.2020.912132","DOIUrl":"https://doi.org/10.12988/ijma.2020.912132","url":null,"abstract":"In this paper we demonstrate a general procedure for the solution of partial differential equations by using the Sumudu transform. We present some illustrative examples towards this effect.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117119058","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}
C. Giral, C'esar L. Garc'ia, T. Gilsdorf, Claudia G'omez Wulschner, R. Vera
{"title":"On docile spaces, Mackey first countable spaces, and sequentially Mackey first countable spaces","authors":"C. Giral, C'esar L. Garc'ia, T. Gilsdorf, Claudia G'omez Wulschner, R. Vera","doi":"10.12988/IJMA.2017.7234","DOIUrl":"https://doi.org/10.12988/IJMA.2017.7234","url":null,"abstract":"In this article we discuss the relationship between three types of locally convex spaces: docile spaces, Mackey first countable spaces, and sequentially Mackey first countable spaces. More precisely, we show that docile spaces are sequentially Mackey first countable. We also show the existence of sequentially Mackey first countable spaces that are not Mackey first countable, and we characterize Mackey first countable spaces in terms of normability of certain inductive limits.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116177931","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":"Spectral properties of Slant Hankel operators","authors":"M. P. Singh","doi":"10.12988/IJMA.2014.48255","DOIUrl":"https://doi.org/10.12988/IJMA.2014.48255","url":null,"abstract":"A slant Hankel operator Sϕ with ϕ in L1(∂D) is an operator on L2(∂D) whose representingmatrix M = (αij) is given by αij = ⟨ϕ, z","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"397 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124493503","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":"Existence of Gevrey solutions for some polynomially nonlinear functional differential equations","authors":"Hicham Zoubeir","doi":"10.12988/ijma","DOIUrl":"https://doi.org/10.12988/ijma","url":null,"abstract":"Our aim in this paper is to prove, under some growth conditions on the datas, the solvability in a Gevrey class of a polynomially nonlinear functional differential equation.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"650 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123288121","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":"A note on two results involving products of generalized hypergeometric functions","authors":"Junesang Choi, A. Rathie","doi":"10.12988/IJMA.2016.6228","DOIUrl":"https://doi.org/10.12988/IJMA.2016.6228","url":null,"abstract":"Recently the authors have established the following identities: e 0F1 [ ; 1 2 ; − b 2 x2 4 a2 ] = ∞ ∑ m=0 xm m! ( a2 + b2 )m/2 am cosmθ","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127183654","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 chaotic behavior on the unit circle","authors":"Syahida Che Dzul-Kifli, C. Good","doi":"10.12988/IJMA.2016.68103","DOIUrl":"https://doi.org/10.12988/IJMA.2016.68103","url":null,"abstract":",","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124787004","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":"Tight J-frames in Krein space and the associated J-frame potential","authors":"S. M. Hossein, S. Karmakar, K. Paul","doi":"10.12988/ijma.2016.6355","DOIUrl":"https://doi.org/10.12988/ijma.2016.6355","url":null,"abstract":"Motivated by the idea of $J$-frame for a Krein space $textbf{textit{K}}$, introduced by Giribet textit{et al.} (J. I. Giribet, A. Maestripieri, F. Mart'inez Per'{i}a, P. G. Massey, textit{On frames for Krein spaces}, J. Math. Anal. Appl. (1), {bf 393} (2012), 122--137.), we introduce the notion of $zeta-J$-tight frame for a Krein space $textbf{textit{K}}$. In this paper we characterize $J$-orthonormal basis for $textbf{textit{K}}$ in terms of $zeta-J$-Parseval frame. We show that a Krein space is richly supplied with $zeta-J$-Parseval frames. We also provide a necessary and sufficient condition when the linear sum of two $zeta-J$-Parseval frames is again a $zeta-J$-Parseval frame. We then generalize the notion of $J$-frame potential in Krein space from Hilbert space frame theory. Finally we provided a necessary and sufficient condition for a $J$-frame potential of the corresponding $zeta-J$-tight frame to be minimum.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117016081","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 on strictly singular operators","authors":"Ersin Kızgut, M. Yurdakul","doi":"10.12988/ijma.2017.77103","DOIUrl":"https://doi.org/10.12988/ijma.2017.77103","url":null,"abstract":"A continuous linear operator $T:E to F$ is called strictly singular if it cannot be invertible on any infinite dimensional closed subspace of its domain. In this note we discuss sufficient conditions and consequences of the phenomenon $LB(E,F)=L_s(E,F)$, which means that every continuous linear bounded operator defined on $E$ into $F$ is strictly singular.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125083989","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":"Applications of Graphs Related to the Probability that an Element of Finite Metacyclic 2-Group Fixes a Set","authors":"S. Omer, N. Sarmin, A. Erfanian","doi":"10.12988/IJMA.2014.48257","DOIUrl":"https://doi.org/10.12988/IJMA.2014.48257","url":null,"abstract":"In this paper, G denotes a metacyclic 2-group of positive type of nilpotency class at least three and Ω is the set of all subsets of commuting elements of G of size two in the form of (a, b), where a and b commute and lcm(|a|, |b|) = 2. The probability that a group element of G fixes a set is one of the generalizations of the commutativity degree that has been recently introduced. In this paper, the probability that an element of fixes a set for metacyclic 2-groups of positive type of nilpotency class at least three is computed. The results obtained are then applied to graph theory, more precisely to the orbit graph and generalized conjugacy class graph.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130122386","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}
Maizah Hura Ahmad, Yean Ping Pung, Siti Roslindar Yazir, N. Miswan
{"title":"A Hybrid Model for Improving Malaysian Gold Forecast Accuracy","authors":"Maizah Hura Ahmad, Yean Ping Pung, Siti Roslindar Yazir, N. Miswan","doi":"10.12988/IJMA.2014.45139","DOIUrl":"https://doi.org/10.12988/IJMA.2014.45139","url":null,"abstract":"A hybrid model has been considered an effective way to improve forecast accuracy. This paper proposes the hybrid model of the linear autoregressive moving average (ARIMA) and the non-linear generalized autoregressive conditional heteroscedasticity (GARCH) in modeling and forecasting. Malaysian gold price is used to present the development of the hybrid model. The goodness of fit of the model is measured using Akaike information criteria (AIC) while the forecasting performance is assessed using bias, variance proportion, covariance proportion and mean absolute percentage error (MAPE).","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115564818","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}