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Positive solutions of a fourth-order differential equation with integral boundary conditions 具有积分边界条件的四阶微分方程的正解
IF 0.5
Mathematica Bohemica Pub Date : 2022-12-15 DOI: 10.21136/mb.2022.0045-22
S. Padhi, J. Graef
{"title":"Positive solutions of a fourth-order differential equation with integral boundary conditions","authors":"S. Padhi, J. Graef","doi":"10.21136/mb.2022.0045-22","DOIUrl":"https://doi.org/10.21136/mb.2022.0045-22","url":null,"abstract":". We study the existence of positive solutions to the fourth-order two-point boundary value problem","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47718327","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
Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms 一类具有退化矫顽力和奇异低阶项的非线性抛物型方程的存在性结果
IF 0.5
Mathematica Bohemica Pub Date : 2022-12-06 DOI: 10.21136/mb.2022.0152-21
Rabah Mecheter, F. Mokhtari
{"title":"Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms","authors":"Rabah Mecheter, F. Mokhtari","doi":"10.21136/mb.2022.0152-21","DOIUrl":"https://doi.org/10.21136/mb.2022.0152-21","url":null,"abstract":". In this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in L 1 .","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47400855","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
On the domination of triangulated discs 关于三角盘的支配
IF 0.5
Mathematica Bohemica Pub Date : 2022-12-05 DOI: 10.21136/mb.2022.0122-21
NoorA’lawiah Abd Aziz, Nader Jafari Rad, H. Kamarulhaili
{"title":"On the domination of triangulated discs","authors":"NoorA’lawiah Abd Aziz, Nader Jafari Rad, H. Kamarulhaili","doi":"10.21136/mb.2022.0122-21","DOIUrl":"https://doi.org/10.21136/mb.2022.0122-21","url":null,"abstract":". Let G be a 3-connected triangulated disc of order n with the boundary cycle C of the outer face of G . Tokunaga (2013) conjectured that G has a dominating set of cardinality at most 14 ( n +2). This conjecture is proved in Tokunaga (2020) for G − C being a tree. In this paper we prove the above conjecture for G − C being a unicyclic graph. We also deduce some bounds for the double domination number, total domination number and double total domination number in triangulated discs.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45498339","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
Covering energy of posets and its bounds 覆盖偏序集的能量及其边界
IF 0.5
Mathematica Bohemica Pub Date : 2022-10-17 DOI: 10.21136/mb.2022.0029-22
Vandana P. Bhamre, Madhukar. M. Pawar
{"title":"Covering energy of posets and its bounds","authors":"Vandana P. Bhamre, Madhukar. M. Pawar","doi":"10.21136/mb.2022.0029-22","DOIUrl":"https://doi.org/10.21136/mb.2022.0029-22","url":null,"abstract":". The concept of covering energy of a poset is known and its McClelland type bounds are available in the literature. In this paper, we establish formulas for the covering energy of a crown with 2 n elements and a fence with n elements. A lower bound for the largest eigenvalue of a poset is established. Using this lower bound, we improve the McClelland type bounds for the covering energy for some special classes of posets.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44375693","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
Congruence preserving operations on the ring $mathbb{Z}_{p^3}$ 环$mathbb上的保同余运算{Z}_｛p^3｝$
IF 0.5
Mathematica Bohemica Pub Date : 2022-10-11 DOI: 10.21136/mb.2022.0155-21
Cyril Gavala, M. Ploščica, Ivana Varga
{"title":"Congruence preserving operations on the ring $mathbb{Z}_{p^3}$","authors":"Cyril Gavala, M. Ploščica, Ivana Varga","doi":"10.21136/mb.2022.0155-21","DOIUrl":"https://doi.org/10.21136/mb.2022.0155-21","url":null,"abstract":"","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42317582","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
On perfect powers in $k$-generalized Pell sequence k -广义Pell序列的完全幂
IF 0.5
Mathematica Bohemica Pub Date : 2022-09-29 DOI: 10.21136/mb.2022.0033-22
Z. Şiar, R. Keskin, Elif Segah Öztas
{"title":"On perfect powers in $k$-generalized Pell sequence","authors":"Z. Şiar, R. Keskin, Elif Segah Öztas","doi":"10.21136/mb.2022.0033-22","DOIUrl":"https://doi.org/10.21136/mb.2022.0033-22","url":null,"abstract":". Let k > 2 and let ( P ( k ) n ) n > 2 − k be the k -generalized Pell sequence defined by P ( k ) n = 2 P ( k ) n − 1 + P ( k ) n − 2 + . . . + P ( k ) n − k for n > 2 with initial conditions In this study, we handle the equation P ( k ) n = y m in positive integers n , m , y , k such that k, y > 2 , and give an upper bound on n. Also, we will show that the equation P ( k ) n = y m with 2 6 y 6 1000 has only one solution given by P (2)7 = 13 2 .","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42035013","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: 2
Characterization of irreducible polynomials over a special principal ideal ring 特殊主理想环上不可约多项式的特征
IF 0.5
Mathematica Bohemica Pub Date : 2022-09-08 DOI: 10.21136/mb.2022.0187-21
B. Boudine
{"title":"Characterization of irreducible polynomials over a special principal ideal ring","authors":"B. Boudine","doi":"10.21136/mb.2022.0187-21","DOIUrl":"https://doi.org/10.21136/mb.2022.0187-21","url":null,"abstract":". A commutative ring R with unity is called a special principal ideal ring (SPIR) if it is a non integral principal ideal ring containing only one nonzero prime ideal, its length e is the index of nilpotency of its maximal ideal. In this paper, we show a characterization of irreducible polynomials over a SPIR of length 2. Then, we give a sufficient condition for a polynomial to be irreducible over a SPIR of any length e .","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45469365","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
On locales whose countably compact sublocales have compact closure 在其可数紧凑子区域具有紧凑闭包的区域上
IF 0.5
Mathematica Bohemica Pub Date : 2022-08-31 DOI: 10.21136/mb.2022.0051-22
T. Dube
{"title":"On locales whose countably compact sublocales have compact closure","authors":"T. Dube","doi":"10.21136/mb.2022.0051-22","DOIUrl":"https://doi.org/10.21136/mb.2022.0051-22","url":null,"abstract":". Among completely regular locales, we characterize those that have the feature described in the title. They are, of course, localic analogues of what are called cl-isocompact spaces. They have been considered in T. Dube, I. Naidoo, C. N. Ncube (2014), so here we give new characterizations that do not appear in this reference.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41594270","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
Oscillation criteria for two dimensional linear neutral delay difference systems 二维线性中立型时滞差分系统的振动判据
IF 0.5
Mathematica Bohemica Pub Date : 2022-08-29 DOI: 10.21136/mb.2022.0048-21
A. Tripathy
{"title":"Oscillation criteria for two dimensional linear neutral delay difference systems","authors":"A. Tripathy","doi":"10.21136/mb.2022.0048-21","DOIUrl":"https://doi.org/10.21136/mb.2022.0048-21","url":null,"abstract":". In this work, necessary and sufficient conditions for the oscillation of solutions of 2-dimensional linear neutral delay difference systems of the form are established, where m > 0, α > 0, β > 0 are integers and a ( n ), b ( n ), c ( n ), d ( n ), p ( n ) are sequences of real numbers.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48124282","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
Nonoscillatory solutions of discrete fractional order equations with positive and negative terms 具有正负项的离散分数阶方程的非振荡解
IF 0.5
Mathematica Bohemica Pub Date : 2022-08-29 DOI: 10.21136/mb.2022.0157-21
J. Alzabut, S. Grace, A. Selvam, R. Janagaraj
{"title":"Nonoscillatory solutions of discrete fractional order equations\u0000 \u0000with positive and negative terms","authors":"J. Alzabut, S. Grace, A. Selvam, R. Janagaraj","doi":"10.21136/mb.2022.0157-21","DOIUrl":"https://doi.org/10.21136/mb.2022.0157-21","url":null,"abstract":". This paper aims at discussing asymptotic behaviour of nonoscillatory solutions of the forced fractional difference equations of the form where N 1 − γ = { 1 − γ, 2 − γ, 3 − γ, . . . } , 0 < γ 6 1, ∆ γ is a Caputo-like fractional difference operator. Three cases are investigated by using some salient features of discrete fractional calculus and mathematical inequalities. Examples are presented to illustrate the validity of the theoretical results.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43630341","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
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