{"title":"BOUNDARY VALUES OF ANALYTIC FUNCTIONS","authors":"A. G. Ramm","doi":"10.17654/0972096023011","DOIUrl":"https://doi.org/10.17654/0972096023011","url":null,"abstract":"Let $D$ be a connected bounded domain in $R^2$, $S$ be its boundary which is closed, connected and smooth. Let $Phi(z)=frac 1 {2pi i}int_Sfrac{f(s)ds}{s-z}$, $fin L^1(S)$, $z=x+iy$. Boundary values of $Phi(z)$ on $S$ are studied. The function $Phi(t)$, $tin S$, is defined in a new way. Necessary and sufficient conditions are given for $fin L^1(S)$ to be boundary value of an analytic in $D$ function. The Sokhotsky-Plemelj formulas are derived for $fin L^1(S)$.","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45479373","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":"BLOCK-CENTERED UPWIND DIFFERENCE ON CHANGING MESHES FOR NUMERICAL SIMULATION OF SEEPAGE FLOW","authors":"Y. Yirang, Song Huailing, Changfeng Li","doi":"10.17654/0972096023010","DOIUrl":"https://doi.org/10.17654/0972096023010","url":null,"abstract":"","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41725133","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":"WEIGHT SPEEDY Q-LEARNING FOR FEEDBACK STABILIZATION OF PROBABILISTIC BOOLEAN CONTROL NETWORKS","authors":"Yangyang Chen","doi":"10.17654/0972096023009","DOIUrl":"https://doi.org/10.17654/0972096023009","url":null,"abstract":"","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48181403","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":"MULTI-STAGE HIERARCHICAL GAMES: EXISTENCE AND STABILITY WHEN THE OPTIMAL RESPONSES ARE UNIQUE","authors":"N. D’Auria","doi":"10.17654/0972096023008","DOIUrl":"https://doi.org/10.17654/0972096023008","url":null,"abstract":"","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42967425","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 AND UNIQUENESS OF THE SOLUTION OF A NONLINEAR HYPERBOLIC PROBLEM WITH A CONTINUOUS POTENTIAL IN MEAN SQUARE","authors":"Arno Chadel Mankessi, D. Ampini","doi":"10.17654/0972096023007","DOIUrl":"https://doi.org/10.17654/0972096023007","url":null,"abstract":"","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41631668","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":"SOLVING UNCERTAIN REGRESSION PROBLEM BY USING ROBUSTNESS OPTIMIZATION METHOD","authors":"","doi":"10.17654/0972096023006","DOIUrl":"https://doi.org/10.17654/0972096023006","url":null,"abstract":"","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42103708","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":"TIME DEPENDENT SCHRÖDINGER EQUATION: III. VELOCITY GAUGE","authors":"A. Palma, I. López-García","doi":"10.17654/0972096023004","DOIUrl":"https://doi.org/10.17654/0972096023004","url":null,"abstract":"","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46039828","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":"Far East Journal of Applied Mathematics","authors":"Yi Zhang, Mengqi Mao","doi":"10.17654/0972096023002","DOIUrl":"https://doi.org/10.17654/0972096023002","url":null,"abstract":"","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67807875","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":"GENERALIZED HARARY INDEX OF CERTAIN CLASSES OF GRAPHS","authors":"B. Chaluvaraju, H. S. Boregowda, I. N. Cangul","doi":"10.17654/0972096023001","DOIUrl":"https://doi.org/10.17654/0972096023001","url":null,"abstract":"","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49280879","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}