{"title":"PROPERTIES OF SOLUTIONS FOR A NONLINEAR DIFFUSION PROBLEM WITH A GRADIENT NONLINEARITY","authors":"Z.R. Rakhmonov, A.A. Alimov","doi":"10.12732/ijam.v36i3.7","DOIUrl":"https://doi.org/10.12732/ijam.v36i3.7","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136192529","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":"AN INVESTIGATION OF NUMERICAL INTEGRATION USING CHEBYSHEV WAVELETS OF THE SECOND KIND","authors":"Preeti Preeti, I. Singh","doi":"10.12732/ijam.v36i3.5","DOIUrl":"https://doi.org/10.12732/ijam.v36i3.5","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136192518","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":"ON THE OSCILLATORY BEHAVIOR OF A CLASS OF EVEN ORDER NONLINEAR DAMPED DELAY DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS","authors":"S. Janaki, V. Ganesan","doi":"10.12732/ijam.v36i3.6","DOIUrl":"https://doi.org/10.12732/ijam.v36i3.6","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136192527","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}
: The cognitive and evidential features of the graph discipline are significantly influenced by the implementation of graph operations. Molecular descriptor acts as a fundamental network invariant relevant to a particular molecular structure in the framework of chemical graph theory. The semi-total point graph features the edges of subdivision graph as well as the edges of the original graph. In this paper, we explore combinatorial inequalities associated with the edges, vertices and its corresponding neighborhood notions along with the inclusion of other molecular descriptors in the computations for the determination of exact expressions of second hyper-Zagreb index for certain corona products involving the semi-total point graph.
{"title":"ON SECOND HYPER-ZAGREB INDEX OF CORONA PRODUCTS RELATED TO R-GRAPHS","authors":"I. Sarkar, M. Nanjappa","doi":"10.12732/ijam.v36i3.1","DOIUrl":"https://doi.org/10.12732/ijam.v36i3.1","url":null,"abstract":": The cognitive and evidential features of the graph discipline are significantly influenced by the implementation of graph operations. Molecular descriptor acts as a fundamental network invariant relevant to a particular molecular structure in the framework of chemical graph theory. The semi-total point graph features the edges of subdivision graph as well as the edges of the original graph. In this paper, we explore combinatorial inequalities associated with the edges, vertices and its corresponding neighborhood notions along with the inclusion of other molecular descriptors in the computations for the determination of exact expressions of second hyper-Zagreb index for certain corona products involving the semi-total point graph.","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136192515","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 is devoted to the study of the defocusing nonlinear Schr"{o}dinger equation with a self-consistent source and nonzero boundary conditions by the method of the inverse scattering problem. In cases where the source consists of a combination of eigenfunctions of the corresponding spectral problem for the Zakharov-Shabat system, the complete integrability of the nonlinear Schr"{o}dinger equation is investigated. Namely, the evolutions of the scattering data of the self-adjoint Zakharov-Shabat system, whose potential is a solution of the defocusing nonlinear Schr"{o}dinger equation with a self-consistent source, are obtained.
{"title":"INTEGRATION OF THE NONLINEAR SCHR\"{O}DINGER EQUATION WITH A SELF-CONSISTENT SOURCE AND NONZERO BOUNDARY CONDITIONS","authors":"A. Reyimberganov","doi":"10.12732/ijam.v36i3.4","DOIUrl":"https://doi.org/10.12732/ijam.v36i3.4","url":null,"abstract":"This paper is devoted to the study of the defocusing nonlinear Schr\"{o}dinger equation with a self-consistent source and nonzero boundary conditions by the method of the inverse scattering problem. In cases where the source consists of a combination of eigenfunctions of the corresponding spectral problem for the Zakharov-Shabat system, the complete integrability of the nonlinear Schr\"{o}dinger equation is investigated. Namely, the evolutions of the scattering data of the self-adjoint Zakharov-Shabat system, whose potential is a solution of the defocusing nonlinear Schr\"{o}dinger equation with a self-consistent source, are obtained.","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136192517","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":"LINEAR INDEPENDENT SOLUTIONS AND RECURSION FORMULAS FOR THE QUADRUPLE HYPERGEOMETRIC FUNCTIONS $X_{31}^{(4)}$","authors":"A. Al e'damat, J. Younis","doi":"10.12732/ijam.v36i3.2","DOIUrl":"https://doi.org/10.12732/ijam.v36i3.2","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136192516","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":"SEPARATION OF TWO MUSICAL INSTRUMENTS USING MATRIX FACTORISATION TECHNIQUES","authors":"We. Kai Adrian Tang, We. Shean Ng, Ho. Hui Liew","doi":"10.12732/ijam.v36i3.8","DOIUrl":"https://doi.org/10.12732/ijam.v36i3.8","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136192535","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":"$T$ AND $ST$-COLORING OF CORONA PRODUCT AND EDGE CORONA PRODUCT OF GRAPHS","authors":"R. Moran, N. Bora, S. Begum, B. Sharma","doi":"10.12732/ijam.v36i3.3","DOIUrl":"https://doi.org/10.12732/ijam.v36i3.3","url":null,"abstract":"","PeriodicalId":37513,"journal":{"name":"International Journal of Applied Mathematics","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136192521","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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