Mathematics of The Ussr-izvestiya最新文献

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AN ESTIMATE OF SOLUTIONS OF PARABOLIC PROBLEMS WITHOUT AN INITIAL CONDITION 无初始条件抛物型问题解的估计
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002207
Yu. P. Krasovskii
{"title":"AN ESTIMATE OF SOLUTIONS OF PARABOLIC PROBLEMS WITHOUT AN INITIAL CONDITION","authors":"Yu. P. Krasovskii","doi":"10.1070/IM1992V038N02ABEH002207","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002207","url":null,"abstract":"A solution of a parabolic equation without an initial condition is determined in terms of the right side in a semi-infinite cylinder. It is assumed that the coefficients of the equation do not depend on time. An estimate of the solution is given in terms of the right side of the equation, which estimate contains a weighted exponential function of time.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134144587","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}
引用次数: 0
A REDUCTION THEOREM FOR TI-SUBGROUPS 反子群的约简定理
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002200
A. A. Makhnëv
{"title":"A REDUCTION THEOREM FOR TI-SUBGROUPS","authors":"A. A. Makhnëv","doi":"10.1070/IM1992V038N02ABEH002200","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002200","url":null,"abstract":"The following reduction theorem for TI-subgroups is obtained: if a 2-group A is a TI-subgroup of a finite group, then either A is an elementary or cyclic group, or the normal closure of A is a well-known group.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131689185","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}
引用次数: 1
NONSELFINTERSECTING CLOSED EXTREMALS OF MULTIVALUED OR NOT EVERYWHERE POSITIVE FUNCTIONALS 多值或非处处正泛函的非自交闭极值
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002203
I. Taimanov
{"title":"NONSELFINTERSECTING CLOSED EXTREMALS OF MULTIVALUED OR NOT EVERYWHERE POSITIVE FUNCTIONALS","authors":"I. Taimanov","doi":"10.1070/IM1992V038N02ABEH002203","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002203","url":null,"abstract":"A proof is given for the theorem of Novikov and the author on the existence of a closed nonselfintersecting extremal for a single-valued functional corresponding to the motion of a charged particle in a strong magnetic field on a Riemannian manifold homeomorphic to the 2-sphere, and an analogue in the case of multivalued functionals is also proved.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"1709 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129426398","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}
引用次数: 42
ON HOMOLOGY CLASSES DETERMINED BY REAL POINTS OF A REAL ALGEBRAIC VARIETY 关于由实代数变量的实点确定的同调类
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002199
V. A. Krasnov
{"title":"ON HOMOLOGY CLASSES DETERMINED BY REAL POINTS OF A REAL ALGEBRAIC VARIETY","authors":"V. A. Krasnov","doi":"10.1070/IM1992V038N02ABEH002199","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002199","url":null,"abstract":"For a nonsingular -dimensional real projective algebraic variety the set of its real points is the union of connected components . Those components give rise to homology classes . In this paper a bound on the number of relations between those homology classes is obtained.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"33 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114105853","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}
引用次数: 4
NONUNIQUENESS OF SOLUTIONS OF THE PROBLEM OF SOLITARY WAVES AND BIFURCATION OF CRITICAL POINTS OF SMOOTH FUNCTIONALS 孤立波问题解的非唯一性与光滑泛函的临界点分岔
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002202
P. Plotnikov
{"title":"NONUNIQUENESS OF SOLUTIONS OF THE PROBLEM OF SOLITARY WAVES AND BIFURCATION OF CRITICAL POINTS OF SMOOTH FUNCTIONALS","authors":"P. Plotnikov","doi":"10.1070/IM1992V038N02ABEH002202","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002202","url":null,"abstract":"The problem of solitary waves on the surface of an ideal fluid is considered. By means of a variational principle it is shown that for an infinite set of values of the Froude number this problem has at least two geometrically distinct solutions. Sufficient conditions are formulated for the existence of bifurcations of degenerate critical points of one-parameter families of smooth functionals defined in a normed space.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121017954","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}
引用次数: 44
A FUNCTION THEORY METHOD IN BOUNDARY VALUE PROBLEMS IN THE PLANE. I: THE SMOOTH CASE 平面上边值问题的函数理论方法。I:光滑的情况
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V039N02ABEH002236
A. Soldatov
{"title":"A FUNCTION THEORY METHOD IN BOUNDARY VALUE PROBLEMS IN THE PLANE. I: THE SMOOTH CASE","authors":"A. Soldatov","doi":"10.1070/IM1992V039N02ABEH002236","DOIUrl":"https://doi.org/10.1070/IM1992V039N02ABEH002236","url":null,"abstract":"A general (not necessarily local) boundary value problem is considered for an elliptic system on the plane of th order containing only leading terms with constant coefficients. By a method of function theory developed for elliptic systems of first order with a constant triangular matrix , ; this problem is reduced to an equivalent system of integrofunctional equations on the boundary. In particular, a criterion that the problem be Noetherian and a formula for its index are obtained in this way. All considerations are carried out in the smooth case when the boundary of the domain has no corner points, while the boundary operators act in spaces of continuous functions.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121072623","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}
引用次数: 14
ON SUPERINTUITIONISTIC PROPOSITIONAL LOGICS CONNECTED WITH PARTIALLY ORDERED SETS 论部分有序集连接的超直觉命题逻辑
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002204
V. Khomich
{"title":"ON SUPERINTUITIONISTIC PROPOSITIONAL LOGICS CONNECTED WITH PARTIALLY ORDERED SETS","authors":"V. Khomich","doi":"10.1070/IM1992V038N02ABEH002204","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002204","url":null,"abstract":"This paper introduces a new method of representing pseudo-Boolean algebras by implication structures of a special type or by partially ordered sets. This is used to construct four sequences of pseudo-Boolean algebras. Their properties and the properties of the logics prescribed by the sequences are studied. The connection between these logics and the logic consisting of the realizable propositional formulas is established, and a problem posed by Hosoi and Ono is solved.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121671523","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}
引用次数: 1
ON BIRATIONAL AUTOMORPHISMS OF RATIONAL SURFACES 有理曲面的两族自同构
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002198
V. A. Iskovskikh, S. Tregub
{"title":"ON BIRATIONAL AUTOMORPHISMS OF RATIONAL SURFACES","authors":"V. A. Iskovskikh, S. Tregub","doi":"10.1070/IM1992V038N02ABEH002198","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002198","url":null,"abstract":"Generators and relations of the groups of birational automorphisms are described for six classes of (-minimal) rational surfaces. For surfaces with , and , , relations between the already known generators are described, and for surfaces with , , and , , generators and relations are described.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132357596","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}
引用次数: 9
SETS OF UNIQUENESS IN SPACES OF ENTIRE FUNCTIONS OF A SINGLE VARIABLE 在单变量的整个函数空间中的唯一性集
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V039N02ABEH002237
B. Khabibullin
{"title":"SETS OF UNIQUENESS IN SPACES OF ENTIRE FUNCTIONS OF A SINGLE VARIABLE","authors":"B. Khabibullin","doi":"10.1070/IM1992V039N02ABEH002237","DOIUrl":"https://doi.org/10.1070/IM1992V039N02ABEH002237","url":null,"abstract":"A general approach is proposed for the description of sets of uniqueness in spaces of entire functions.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122402345","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}
引用次数: 34
THE FUNDAMENTAL GROUP OF THE COMPLEMENT OF A HYPERSURFACE IN $ mathbf C^n$ $ mathbf C^n$中超曲面补的基本群
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002205
V. Kulikov
{"title":"THE FUNDAMENTAL GROUP OF THE COMPLEMENT OF A HYPERSURFACE IN $ mathbf C^n$","authors":"V. Kulikov","doi":"10.1070/IM1992V038N02ABEH002205","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002205","url":null,"abstract":"Let be a complex algebraic hypersurface in not passing through the point . The generators of the fundamental group and the relations among them are described in terms of the real cone over with apex at . This description is a generalization to the algebraic case of Wirtinger's corepresentation of the fundamental group of a knot in . A new proof of Zariski's conjecture about commutativity of the fundamental group for a projective nodal curve is given in the second part of the paper based on the description of the generators and the relations in the group obtained in the first part.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115231051","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}
引用次数: 1
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