{"title":"Nonlinear Oscillation of Functional. Differential Equations with Complicated Deviating Argument","authors":"H. Onose","doi":"10.5036/BFSIU1968.13.29","DOIUrl":"https://doi.org/10.5036/BFSIU1968.13.29","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1981-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129597522","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":"Monotonicity and Continuity","authors":"Morisuke Hasumi, K. Yabuta","doi":"10.5036/BFSIU1968.12.5","DOIUrl":"https://doi.org/10.5036/BFSIU1968.12.5","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124968365","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":"Continuous Linear Functional on Closed Two-sided Ideals of C*-algebras","authors":"Sin-Ei Takahasi","doi":"10.5036/BFSIU1968.12.1","DOIUrl":"https://doi.org/10.5036/BFSIU1968.12.1","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"38 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123894356","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":"Parabolic Mixed Problems with an Oblique Derivative","authors":"H. Soga","doi":"10.5036/BFSIU1968.12.17","DOIUrl":"https://doi.org/10.5036/BFSIU1968.12.17","url":null,"abstract":"where A is a second order elliptic differential operator on Ω and v is a real nonvanishing C∞ vector field defined in a neighborhood of Γ. When the problem is of non-degenerate type, that is, v is not tangent to Γ, various results have been obtained. Agranovich and Vishik [1] investigated mixed parabolic problems of general non-degenerate type. In the present paper we shall study the problem (0.1) in the case where v is tangent to Γ on its C∞ submanifold Γ0 (dim Γ0=dim Γ-1). Many authors have examined elliptic boundary value problems with the same oblique derivative (cf.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126136303","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":"Notes on PrÜfer v-Multiplication Rings","authors":"Ryuki Matsuda","doi":"10.5036/BFSIU1968.12.9","DOIUrl":"https://doi.org/10.5036/BFSIU1968.12.9","url":null,"abstract":"Let D be an integral domain (∋1) and K be the quotient field of D. Let F(D) be the set of nonzero fractional ideals of D. A mapping * of F(D) into itself is called *-operation on D if it satisfies: (1) for 0_??_a∈K and a∈F(D), we have (a)* =(a) and (aa)*=aa*; (2) for a∈F(D), we have a⊂a*(⊂ means ⊆) and, a⊂b implies a*⊂b*; (3) for a∈F(D), we have (a*)*=a*. For example, a mapping a_??_(a-1)-1 is a *-operation, and is called v-operation. For a subset b⊂K, we denote {x∈K; xb⊂A} by b-1 in general. Let * be a *-operation on D. The mapping (a, b)_??_(ab)* is called *-product. If{a*; 0_??_a finitely generated} makes a group under the *-product, D is called prufer *-multiplication domain. As to the conditions and the related properties under which D becomes a prufer *-multi-","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131685036","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 a Theorem of Brownawell","authors":"M. Takeuchi","doi":"10.5036/BFSIU1968.11.51","DOIUrl":"https://doi.org/10.5036/BFSIU1968.11.51","url":null,"abstract":"Our theorem will be immediately applied if we obtain the nontrivial lower bound of the transcendence measure of a number.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126172532","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":"One-Parameter Semigroups of the Gaussian and Poisson Integral Transforms on the W2-space","authors":"K. Takano","doi":"10.5036/BFSIU1968.11.39","DOIUrl":"https://doi.org/10.5036/BFSIU1968.11.39","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114407638","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 Hardy Classes on Plane Domains","authors":"Morisuke Hasumi","doi":"10.5036/BFSIU1968.11.65","DOIUrl":"https://doi.org/10.5036/BFSIU1968.11.65","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115950959","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":"Forced Oscillation for Functional Differential Equations of Fourth Order","authors":"H. Onose","doi":"10.5036/BFSIU1968.11.57","DOIUrl":"https://doi.org/10.5036/BFSIU1968.11.57","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123086147","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 Quotients of Involution Rings","authors":"Kenichi Nakane","doi":"10.5036/BFSIU1968.10.55","DOIUrl":"https://doi.org/10.5036/BFSIU1968.10.55","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1978-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132324936","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}