{"title":"New oscillation criteria of nonlinear second order delay dynamic equations with sublinear neutral term","authors":"Said R. Grace, Syed Abbas","doi":"10.1007/s11565-024-00512-w","DOIUrl":"10.1007/s11565-024-00512-w","url":null,"abstract":"<div><p>In this paper, we discuss the oscillation of the nonlinear second-order delay dynamic equation with a sublinear neutral term and establish some new criteria. Further, we show application to second order neutral dynamic equations. The presented results essentially extend and improve the existing ones. Examples are provided for better illustration.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1433 - 1443"},"PeriodicalIF":0.0,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140681323","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":"Annihilator on prime rings admitting multiplicative generalized g-derivations","authors":"Kapil Kumar, Avdhesh Kumar Mishra","doi":"10.1007/s11565-024-00510-y","DOIUrl":"10.1007/s11565-024-00510-y","url":null,"abstract":"<div><p>Suppose <span>(Re )</span> is a ring and <span>(g:Re rightarrow Q_{r})</span> be an arbitrary map. An additive map <span>(d:Re rightarrow Q_{r})</span> is said to be <i>g</i>-derivation if <span>(d(xy) = d(x)y+g(x)d(y))</span> holds <span>(~ text{ for } text{ all }~ x,yin Re .)</span> An additive map <span>(G:Re rightarrow Q_{r})</span> is said to be generalized <i>g</i>-derivation if <span>(G(xy) = G(x)y+g(x)d(y))</span> holds <span>(~ text{ for } text{ all }~ x,yin Re .)</span> For any subset <i>S</i> of <span>(Re )</span>, <span>(Ssubseteq Re )</span>. The left annihilator of <i>S</i> in <span>(Re )</span> is denoted by <span>(l_{Re }(S))</span> and defined by <span>(l_{Re }(S) = {xin Re mid xS = 0}.)</span> In the present paper, we study the left annihilator identities on prime rings admitting multiplicative generalized <i>g</i>-derivations.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1405 - 1416"},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140728869","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":"Infinite system of nonlinear fractional integral equations in two variables via measure of noncompactness in Banach algebra (C(Itimes I,E))","authors":"Asif Hussain Jan, Tanweer Jalal","doi":"10.1007/s11565-024-00511-x","DOIUrl":"10.1007/s11565-024-00511-x","url":null,"abstract":"<div><p>The aim of this research is to investigate solvability of an infinite system of nonlinear fractional integral equations in two variables using the measure of noncompactness in Banach algebra <span>(C(Itimes I,E))</span>. Our result is illustrated with an example.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1417 - 1431"},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140730796","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":"Essential skeletons of pairs and Temkin’s metric","authors":"Mirko Mauri, Enrica Mazzon, Matthew Stevenson","doi":"10.1007/s11565-024-00504-w","DOIUrl":"10.1007/s11565-024-00504-w","url":null,"abstract":"<div><p>We study weight metrics and essential skeletons of pairs in the Berkovich analytification of a variety over a trivially-valued field of characteristic zero. In the smooth case, we show that Temkin’s canonical metric on pluricanonical bundles coincides with the weight metric defined via log discrepancies.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"839 - 857"},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409187","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":"Remark on a theorem of Oguiso","authors":"Inder Kaur, Artie Prendergast-Smith","doi":"10.1007/s11565-024-00506-8","DOIUrl":"10.1007/s11565-024-00506-8","url":null,"abstract":"<div><p>For a Calabi–Yau variety <i>X</i>, Oguiso (Math Res Lett 25(1):181–198, 2018) gave a useful criterion for primitivity of a self-map of <i>X</i> in terms of the associated linear map on the Néron–Severi space of <i>X</i>. In this short note, we prove a variant of Oguiso’s criterion and use it to verify primitivity of a certain birational automorphism of a Calabi–Yau threefold, to which Oguiso’s original criterion does not apply.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"859 - 869"},"PeriodicalIF":0.0,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00506-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140378159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Connecting probability for random bounded-range one-dimensional network","authors":"Lorenzo Federico","doi":"10.1007/s11565-024-00508-6","DOIUrl":"10.1007/s11565-024-00508-6","url":null,"abstract":"<div><p>We consider a class of bounded-range 1<i>D</i> network models on a cycle and prove that, unlike the corresponding infinite-volume models, which never contain infinite components, they actually exhibit a phase transition for connectivity. We further show that depending on the specific choice of the edge probabilities, the last obstruction to connectivity can either be the existence of isolated vertices or the split of the cycle into two spatially separated components.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1389 - 1403"},"PeriodicalIF":0.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00508-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140381932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mohamed El Ouaarabi, Noureddine Moujane, Said Melliani
{"title":"Existence of three solutions to a p(z)-Laplacian-Like Robin problem","authors":"Mohamed El Ouaarabi, Noureddine Moujane, Said Melliani","doi":"10.1007/s11565-024-00509-5","DOIUrl":"10.1007/s11565-024-00509-5","url":null,"abstract":"<div><p>This paper deals with the existence of solutions for a Robin boundary problem involving the <i>p</i>(<i>z</i>)-Laplacian-Like operator. Using Ricceri’s variational method, we prove the existence result of at least three nontrivial solutions of the considered problem in the framework of double weighted generalized Sobolev space.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1375 - 1388"},"PeriodicalIF":0.0,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140221529","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}
Bilal T. Bilalov, Sabina R. Sadigova, Lyoubomira G. Softova
{"title":"Higher order elliptic equations in weighted Banach spaces","authors":"Bilal T. Bilalov, Sabina R. Sadigova, Lyoubomira G. Softova","doi":"10.1007/s11565-024-00505-9","DOIUrl":"10.1007/s11565-024-00505-9","url":null,"abstract":"<div><p>We consider <i>m</i>-th order linear, uniformly elliptic equations <span>(mathcal {L}u=f)</span> with non-smooth coefficients in Banach–Sobolev spaces <span>(W_{X_w}^m (Omega ))</span> generated by weighted Banach Function Spaces (BFS) <span>(X_w (Omega ))</span> on a bounded domain <span>(Omega subset {mathbb R}^{n})</span>. Supposing boundedness of the Hardy–Littlewood Maximal operator and the Calderón–Zygmund singular integrals in <span>(X_w (Omega ))</span> we obtain solvability in the small in <span>(W_{X_w}^m (Omega ))</span> and establish interior Schauder type a priori estimates. These results will be used in order to obtain Fredholmness of the operator <span>(mathcal {L})</span> in <span>(X_w (Omega ))</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1351 - 1373"},"PeriodicalIF":0.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00505-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. A. Mebawondu, A. E. Ofem, F. Akutsah, C. Agbonkhese, F. Kasali, O. K. Narain
{"title":"A new double inertial subgradient extragradient algorithm for solving split pseudomonotone equilibrium problems and fixed point problems","authors":"A. A. Mebawondu, A. E. Ofem, F. Akutsah, C. Agbonkhese, F. Kasali, O. K. Narain","doi":"10.1007/s11565-024-00496-7","DOIUrl":"10.1007/s11565-024-00496-7","url":null,"abstract":"<div><p>The purpose of this article is to suggest a modified subgradient extragradient method that includes double inertial extrapolations and viscosity approach for finding the common solution of split equilibrium problem and fixed point problem. The strong convergence result of the suggested method is obtained under some standard assumptions on the control parameters. Our method does not require solving two strongly convex optimization problems in the feasible sets per iteration, and the step-sizes do not depend on bifunctional Lipschitz-type constants. Furthermore, unlike several methods in the literature, our method does not depend on the prior knowledge of the operator norm of the bounded linear operator. Instead, the step-sizes are self adaptively updated. We apply our method to solve split variational inequality problem. Lastly, we conduct some numerical test to compare our method with some well known methods in the literature.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1321 - 1349"},"PeriodicalIF":0.0,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00496-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140242919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}