CuboPub Date : 2022-04-01DOI: 10.4067/s0719-06462022000100021
K. Rajendra Prasad, Mahammad Khuddush, K. V. Vidyasagar
{"title":"Infinitely many positive solutions for an iterative system of singular BVP on time scales","authors":"K. Rajendra Prasad, Mahammad Khuddush, K. V. Vidyasagar","doi":"10.4067/s0719-06462022000100021","DOIUrl":"https://doi.org/10.4067/s0719-06462022000100021","url":null,"abstract":"In this paper, we consider an iterative system of singular two-point boundary value problems on time scales. By applying H¨older’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of infinitely many positive solutions. Finally, we provide an example to check the validity of our obtained results.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42164962","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}
CuboPub Date : 2022-04-01DOI: 10.4067/s0719-06462022000100001
R. Prasad, M. Akyol, Sushil Kumar, Punit Kumar Singh
{"title":"Quasi bi-slant submersions in contact geometry","authors":"R. Prasad, M. Akyol, Sushil Kumar, Punit Kumar Singh","doi":"10.4067/s0719-06462022000100001","DOIUrl":"https://doi.org/10.4067/s0719-06462022000100001","url":null,"abstract":"The aim of the paper is to introduce the concept of quasi bi-slant submersions from almost contact metric manifolds onto Riemannian manifolds as a generalization of semi-slant and hemi-slant submersions. We mainly focus on quasi bi-slant submersions from cosymplectic manifolds. We give some non-trivial examples and study the geometry of leaves of distributions which are involved in the definition of the submersion. Moreover, we find some conditions for such submersions to be integrable and totally geodesic. condiciones para que estas submersiones sean integrables y totalmente geod´esicas.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44301512","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}
CuboPub Date : 2022-04-01DOI: 10.4067/s0719-06462022000100167
Goutam Haldar
{"title":"Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight","authors":"Goutam Haldar","doi":"10.4067/s0719-06462022000100167","DOIUrl":"https://doi.org/10.4067/s0719-06462022000100167","url":null,"abstract":"In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial with finite weight. Our result improves and extends some recent results due to Sahoo-Karmakar [J. Cont. Math. Anal. 52(2) (2017), 102–110] and that of Li et al . [Bull. Malays. Math. Sci. Soc., 39 (2016), 499–515]. Some examples have been exhibited which are relevant to the content of the paper.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43226213","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}
CuboPub Date : 2022-04-01DOI: 10.4067/s0719-06462022000100105
Shamsur Rahman
{"title":"Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold","authors":"Shamsur Rahman","doi":"10.4067/s0719-06462022000100105","DOIUrl":"https://doi.org/10.4067/s0719-06462022000100105","url":null,"abstract":"","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46895017","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}
CuboPub Date : 2022-04-01DOI: 10.4067/s0719-06462022000100053
R. T., Jinitha Varughese, R. R
{"title":"On graphs that have a unique least commonMultiple","authors":"R. T., Jinitha Varughese, R. R","doi":"10.4067/s0719-06462022000100053","DOIUrl":"https://doi.org/10.4067/s0719-06462022000100053","url":null,"abstract":"","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46145882","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}
CuboPub Date : 2022-04-01DOI: 10.4067/s0719-06462022000100083
Abderrahim Guerfi, A. Ardjouni
{"title":"Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation","authors":"Abderrahim Guerfi, A. Ardjouni","doi":"10.4067/s0719-06462022000100083","DOIUrl":"https://doi.org/10.4067/s0719-06462022000100083","url":null,"abstract":"","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41986505","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}
CuboPub Date : 2022-04-01DOI: 10.4067/s0719-06462022000100063
Hasnae El Hammar, C. Allalou, Adil Abbassi, Abderrazak Kassidi
{"title":"The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities","authors":"Hasnae El Hammar, C. Allalou, Adil Abbassi, Abderrazak Kassidi","doi":"10.4067/s0719-06462022000100063","DOIUrl":"https://doi.org/10.4067/s0719-06462022000100063","url":null,"abstract":"","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41621383","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}
CuboPub Date : 2021-12-01DOI: 10.4067/s0719-06462021000300385
U. Traoré
{"title":"Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents","authors":"U. Traoré","doi":"10.4067/s0719-06462021000300385","DOIUrl":"https://doi.org/10.4067/s0719-06462021000300385","url":null,"abstract":"In this paper we prove the existence and uniqueness of an entropy solution for a non-linear parabolic equation with homogeneous Neumann boundary condition and initial data in L 1 . By a time discretization technique we analyze the existence, uniqueness and stability questions. The functional setting involves Lebesgue and Sobolev spaces with variable exponents.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41728947","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}
CuboPub Date : 2021-12-01DOI: 10.4067/s0719-06462021000300441
S. S. Almuthaybiri, J. Jonnalagadda, C. Tisdell
{"title":"Existence and uniqueness of solutions to discrete,third-order three-point boundary value problems","authors":"S. S. Almuthaybiri, J. Jonnalagadda, C. Tisdell","doi":"10.4067/s0719-06462021000300441","DOIUrl":"https://doi.org/10.4067/s0719-06462021000300441","url":null,"abstract":"The purpose of this article is to move towards a more complete understanding of the qualitative properties of solutions to discrete boundary value problems. In particular, we introduce and develop sufficient conditions under which the existence of a unique solution for a third-order difference equation subject to three-point boundary conditions is guaranteed. Our contribu-tions are realized in the following ways. First, we construct the corresponding Green’s function for the problem and formulate some new bounds on its summation. Second, we apply these properties to the boundary value problem by drawing on Banach’s fixed point theorem in conjunction with interesting metrics and appropriate inequalities. We discuss several examples to illustrate the nature of our advancements. contribuciones son de dos tipos. En primer lugar, construimos las funciones de Green correspondientes para el problema y formulamos nuevas cotas para su suma. En se-gundo lugar, aplicamos estas propiedades al problema de valor en la frontera usando el teorema del punto fijo de Banach junto con métricas interesantes y desigualdades apropiadas. Discutimos varios ejemplos para ilustrar la naturaleza de nuestros avances.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45892510","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}
CuboPub Date : 2021-12-01DOI: 10.4067/s0719-06462021000300411
L. PhiloNithya, Joseph Varghese Kureethara
{"title":"Independent partial domination","authors":"L. PhiloNithya, Joseph Varghese Kureethara","doi":"10.4067/s0719-06462021000300411","DOIUrl":"https://doi.org/10.4067/s0719-06462021000300411","url":null,"abstract":"For p ∈ (0 , 1] , a set S ⊆ V is said to p -dominate or partially dominate a graph G = ( V, E ) if | N [ S ] | | V | ≥ p . The minimum cardinality among all p -dominating sets is called the p -domination number and it is denoted by γ p ( G ) . Analogously, the independent partial domination ( i p ( G ) ) is introduced and studied here independently and in relation with the classical domination. Further, the partial independent set and the partial independence number β p ( G ) are defined and some of their properties are pre-sented. Finally, the partial domination chain is established as γ p ( G ) ≤ i p ( G ) ≤ β p ( G ) ≤ Γ p ( G ) . ,","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44547170","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}