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Annales Polonici Mathematici最新文献

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Almost periodic solutions for seasonal cooperative systems 季节性合作系统的几乎周期性解
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2021-01-01 DOI: 10.4064/ap210128-19-8
H. Díaz-Marín, F. J. López-Hernández, O. Osuna
{"title":"Almost periodic solutions for seasonal cooperative systems","authors":"H. Díaz-Marín, F. J. López-Hernández, O. Osuna","doi":"10.4064/ap210128-19-8","DOIUrl":"https://doi.org/10.4064/ap210128-19-8","url":null,"abstract":"We present a criterion for the existence of a stable almost periodic solution for a cooperative almost periodic system. We also give conditions under which there is global stability of this almost periodic solution in a certain domain. We apply our results to systems arising from cell volume growth with almost periodic growth factors, and to systems arising from Michaelis–Menten formalism modeling enzyme kinetics with an almost periodic substrate input and an almost periodic enzyme replacement.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"32 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70582295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
The centenary of Annales Polonici Mathematici 数学家波洛尼奇诞辰一百周年
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2021-01-01 DOI: 10.4064/ap211008-23-11
M. Kosek, Małgorzata Stawiska
{"title":"The centenary of Annales Polonici Mathematici","authors":"M. Kosek, Małgorzata Stawiska","doi":"10.4064/ap211008-23-11","DOIUrl":"https://doi.org/10.4064/ap211008-23-11","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70583457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence results for quasilinear Schrödinger equations under a general critical growth term 一类一般临界生长项下拟线性Schrödinger方程的存在性结果
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2021-01-01 DOI: 10.4064/AP200709-11-1
Yan-Fang Xue, Jiangze Han, Xincai Zhu
{"title":"Existence results for quasilinear Schrödinger equations under a general critical growth term","authors":"Yan-Fang Xue, Jiangze Han, Xincai Zhu","doi":"10.4064/AP200709-11-1","DOIUrl":"https://doi.org/10.4064/AP200709-11-1","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Extreme and moderate solutions of nonoscillatorysecond order half-linear differential equations 非振荡二阶半线性微分方程的极值解和中等解
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2021-01-01 DOI: 10.4064/ap201216-12-8
J. Jaros, T. Kusano, T. Tanigawa
{"title":"Extreme and moderate solutions of nonoscillatory\u0000second order half-linear differential equations","authors":"J. Jaros, T. Kusano, T. Tanigawa","doi":"10.4064/ap201216-12-8","DOIUrl":"https://doi.org/10.4064/ap201216-12-8","url":null,"abstract":". An existence and asymptotic theory is built for second order half-linear differential equations of the form where α > 0 is constant and p ( t ) and q ( t ) are positive continuous functions on [ a, ∞ ) , in which a crucial role is played by a pair of the generalized Riccati differential equations associated with (A). An essential part of the theory is the construction of nonoscillatory solutions x ( t ) of (A) enjoying explicit exponential-integral representations in terms of solutions u ( t ) of (R1) or in terms of solutions v ( t ) of (R2).","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"12 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on approximation and homotopy in $C(X,S^n)$, $n=1,3,7$ 关于$C(X,S^n)$， $n=1,3,7$的近似和同伦的注记
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2021-01-01 DOI: 10.4064/AP200803-9-1
E. Becker
{"title":"A note on approximation and homotopy in $C(X,S^n)$, $n=1,3,7$","authors":"E. Becker","doi":"10.4064/AP200803-9-1","DOIUrl":"https://doi.org/10.4064/AP200803-9-1","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
$eta $-Einstein contact metric manifolds withpurely transversal Bach tensor 爱因斯坦接触度量流形与纯横向巴赫张量
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2021-01-01 DOI: 10.4064/AP201007-18-2
Amalendu Ghosh
{"title":"$eta $-Einstein contact metric manifolds with\u0000purely transversal Bach tensor","authors":"Amalendu Ghosh","doi":"10.4064/AP201007-18-2","DOIUrl":"https://doi.org/10.4064/AP201007-18-2","url":null,"abstract":". We prove that every ( 2 n +1 )-dimensional η -Einstein contact metric manifold (i.e., the Ricci tensor S satisfies S = αg + βη ⊗ η for some smooth functions α, β ) with purely transversal Bach tensor is Einstein.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bounding the length of gradient trajectories 限定梯度轨迹的长度
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2021-01-01 DOI: 10.4064/ap200527-3-6
D. D’Acunto, K. Kurdyka
{"title":"Bounding the length of gradient trajectories","authors":"D. D’Acunto, K. Kurdyka","doi":"10.4064/ap200527-3-6","DOIUrl":"https://doi.org/10.4064/ap200527-3-6","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70580906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the congruence of finite sums involving generalized harmonic numbers modulo $p^2$ 关于广义调和数模p^2的有限和的同余性
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2021-01-01 DOI: 10.4064/ap210107-5-5
Aidas Medžiūnas
{"title":"On the congruence of finite sums involving generalized harmonic numbers modulo $p^2$","authors":"Aidas Medžiūnas","doi":"10.4064/ap210107-5-5","DOIUrl":"https://doi.org/10.4064/ap210107-5-5","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70582164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The investor problem based on the HJM model 基于HJM模型的投资者问题
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-10-26 DOI: 10.4064/ap210429-12-11
S. Peszat, Dariusz Zawisza
{"title":"The investor problem based on the HJM model","authors":"S. Peszat, Dariusz Zawisza","doi":"10.4064/ap210429-12-11","DOIUrl":"https://doi.org/10.4064/ap210429-12-11","url":null,"abstract":"We consider a consumption-investment problem in which the investor has an access to the bond market. In our approach prices of bonds with different maturities are described by the general HJM factor model. We assume that the bond market consist of entire family of rolling bonds and the investment strategy is a general signed measure distributed on all real numbers representing time to maturity specifications for different rolling bonds. The investor's objective is to maximize time-additive utility of the consumption process. We solve the problem by means of the HJB equation for which we prove required regularity of its solution and all required estimates to ensure applicability of the verification theorem. Explicit calculations for certain particular models are presented.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45061362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convexity of the class of currents with finite relative energy 一类具有有限相对能量的电流的凸性
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-05-27 DOI: 10.4064/ap210930-24-3
Duc-Viet Vu
{"title":"Convexity of the class of currents with finite relative energy","authors":"Duc-Viet Vu","doi":"10.4064/ap210930-24-3","DOIUrl":"https://doi.org/10.4064/ap210930-24-3","url":null,"abstract":"We prove the convexity of the class of currents with finite relative energy. A key ingredient is an integration by parts formula for relative non-pluripolar products which is of independent interest.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47856985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
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