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On a generalization of the Wirtinger inequality and some its applications 关于Wirtinger不等式的推广及其一些应用
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.01
L. Agamalieva, Y. Gasimov, J. E. Napoles-Valdes
{"title":"On a generalization of the Wirtinger inequality and some its applications","authors":"L. Agamalieva, Y. Gasimov, J. E. Napoles-Valdes","doi":"10.24193/subbmath.2023.2.01","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.01","url":null,"abstract":"\"In this paper, we present generalized versions of the Wirtinger inequality, which contains as particular cases many of the well-known versions of this classic isoperimetric inequality. Some applications and open problems are also presented in the work.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76794404","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
Growth properties of solutions of linear difference equations with coefficients having $varphi$-order 系数为$varphi$-阶的线性差分方程解的生长性质
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.06
Nityagopal Biswas, P. Sahoo
{"title":"Growth properties of solutions of linear difference equations with coefficients having $varphi$-order","authors":"Nityagopal Biswas, P. Sahoo","doi":"10.24193/subbmath.2023.2.06","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.06","url":null,"abstract":"\"In this paper, we investigate the relations between the growth of entire coefficients and that of solutions of complex homogeneous and non-homogeneous linear difference equations with entire coefficients of $% varphi $-order by using a slow growth scale, the $varphi $-order, where $% varphi $ is a non-decreasing unbounded function. We extend some precedent results due to Zheng and Tu (2011) [15] and others.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75180580","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
Certain sufficient conditions for phi-like functions in a parabolic region 抛物线区域中类函数的若干充分条件
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.05
Hardeep Kaur, R. Brar, S. S. Billing
{"title":"Certain sufficient conditions for phi-like functions in a parabolic region","authors":"Hardeep Kaur, R. Brar, S. S. Billing","doi":"10.24193/subbmath.2023.2.05","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.05","url":null,"abstract":"To obtain the main result of the present paper we use the technique of differential subordination. As special cases of our main result, we obtain sufficient conditions for $finmathcal A$ to be $phi-$like, starlike and close-to-convex in a parabolic region.","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90858597","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
Extension operators and Janowski starlikeness with complex coe cients 扩展操作员和Janowski与复杂的客户相似
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.07
Andra Manu
{"title":"Extension operators and Janowski starlikeness with complex coe cients","authors":"Andra Manu","doi":"10.24193/subbmath.2023.2.07","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.07","url":null,"abstract":"\"In this paper, we obtain certain generalizations of some results from [13] and [14]. Let $Phi_{n, alpha, beta}$ be the extension operator introduced in cite{GrahamHamadaKohrSuffridge} and let $Phi_{n, Q}$ be the extension operator introduced in [7]. Let $a in C$, $b in R$ be such that $|1-a| < b leq {rm Re} a$. We consider the Janowski classes $S^*(a,b, B)$ and $A S^*(a,b, B)$ with complex coefficients introduced in [16]. In the case $n=1$, we denote $S^*(a,b, mathbb{B}^1)$ by $S^*(a,b)$ and $A S^*(a,b, mathbb{B}^1)$ by $A S^*(a,b)$. We shall prove that the following preservation properties concerning the extension operator $Phi_{n, alpha, beta}$ hold: $Phi_{n, alpha, beta} (S^*(a,b)) subseteq S^*(a,b, B)$, $Phi_{n, alpha, beta} (A S^*(a,b)) subseteq A S^*(a,b, B)$. Also, we prove similar results for the extension operator $Phi_{n, Q}$: $$Phi_{n, Q}(S^*(a,b)) subseteq S^*(a,b, B), Phi_{n, Q}(A S^*(a,b)) subseteq A S^*(a,b, B).$$ \"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89693751","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
Statistical Korovkin-type theorem for monotone and sublinear operators 单调算子和次线性算子的统计korovkin定理
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.14
Ionut T. Iancu
{"title":"Statistical Korovkin-type theorem for monotone and sublinear operators","authors":"Ionut T. Iancu","doi":"10.24193/subbmath.2023.2.14","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.14","url":null,"abstract":"\"In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a; b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88175948","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
Strongly quasilinear parabolic systems 强拟线性抛物型系统
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.10
Farah Balaadich, E. Azroul
{"title":"Strongly quasilinear parabolic systems","authors":"Farah Balaadich, E. Azroul","doi":"10.24193/subbmath.2023.2.10","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.10","url":null,"abstract":"\"Using the theory of Young measures, we prove the existence of solutions to a strongly quasilinear parabolic system [frac{partial u}{partial t}+A(u)=f,] where $A(u)=-text{div},sigma(x,t,u,Du)+sigma_0(x,t,u,Du)$, $sigma(x,t,u,Du)$ and $sigma_0(x,t,u,Du)$ are satisfy some conditions and $fin L^{p'}(0,T;W^{-1,p'}(Omega;R^m))$.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76549731","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
"Necessary and sufficient conditions for oscillation of second-order differential equation with several delays" 二阶多时滞微分方程振动的充分必要条件
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.08
S. Santra
{"title":"\"Necessary and sufficient conditions for oscillation of second-order differential equation with several delays\"","authors":"S. Santra","doi":"10.24193/subbmath.2023.2.08","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.08","url":null,"abstract":"\"In this paper, necessary and sufficient conditions are establish of the solutions to second-order delay differential equations of the form begin{equation} Big(r(t)big(x'(t)big)^gammaBig)' +sum_{i=1}^m q_i(t)f_ibig(x(sigma_i(t))big)=0 text{ for } t geq t_0,notag end{equation} We consider two cases when $f_i(u)/u^beta$ is non-increasing for $beta<gamma$, and non-decreasing for $beta>gamma$ where $beta$ and $gamma$ are the quotient of two positive odd integers. Our main tool is Lebesgue's Dominated Convergence theorem. Examples illustrating the applicability of the results are also given, and state an open problem.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78875088","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
Sufficient conditions for univalence obtained by using the Ruscheweyh-Bernardi differential-integral operator 利用Ruscheweyh-Bernardi微分积分算子得到一元性的充分条件
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.02
G. Oros
{"title":"Sufficient conditions for univalence obtained by using the Ruscheweyh-Bernardi differential-integral operator","authors":"G. Oros","doi":"10.24193/subbmath.2023.2.02","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.02","url":null,"abstract":"\"In this paper we introduce the Ruscheweyh-Bernardi differential-integral operator $T^m:Ato A$ defined by $$T^m[f](z)=(1-lambda )R^m [f](z)+lambda B^m[f](z), zin U,$$ where $R^m$ is the Ruscheweyh differential operator (Definition ref{d1.2}) and $B^m$ is the Bernardi integral operator (Definition ref{d1.1}). By using the operator $T^m$, the class of univalent functions denoted by $T^m(lambda ,beta )$, $0le lambda le 1$, $0le beta <1$, is defined and several differential subordinations are studied.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85254025","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
Around metric coincidence point theory 围绕度量重合点理论
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.18
I. Rus
{"title":"Around metric coincidence point theory","authors":"I. Rus","doi":"10.24193/subbmath.2023.2.18","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.18","url":null,"abstract":"Let $(X,d)$ be a complete metric space, $(Y,rho)$ be a metric space and $f,g:Xto Y$ be two mappings. The problem is to give metric conditions which imply that, $C(f,g):={xin X | f(x)=g(x)}not=emptyset$. In this paper we give an abstract coincidence point result with respect to which some results such as of Peetre-Rus (I.A. Rus, emph{Teoria punctului fix ^in analiza funcc tionalu a}, Babec s-Bolyai Univ., Cluj-Napoca, 1973), A. Buicu a (A. Buicu a, emph{Principii de coincidenc tu a c si aplicac tii}, Presa Univ. Clujeanu a, Cluj-Napoca, 2001) and A.V. Arutyunov (A.V. Arutyunov, emph{Co-vering mappings in metric spaces and fixed points}, Dokl. Math., 76(2007), no.2, 665-668) appear as corollaries. In the case of multivalued mappings our result generalizes some results given by A.V. Arutyunov and by A. Petruc sel (A. Petruc sel, emph{A generalization of Peetre-Rus theorem}, Studia Univ. Babec s-Bolyai Math., 35(1990), 81-85). The impact on metric fixed point theory is also studied.","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76591842","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 coupled system of fractional difference equations with anti-periodic boundary conditions 具有反周期边界条件的分数阶差分方程的耦合系统
Studia Universitatis BabesBolyai Geologia Pub Date : 2023-06-13 DOI: 10.24193/subbmath.2023.2.13
J. Jonnalagadda
{"title":"A coupled system of fractional difference equations with anti-periodic boundary conditions","authors":"J. Jonnalagadda","doi":"10.24193/subbmath.2023.2.13","DOIUrl":"https://doi.org/10.24193/subbmath.2023.2.13","url":null,"abstract":"\"In this article, we give su cient conditions for the existence, uniqueness and Ulam{Hyers stability of solutions for a coupled system of two-point nabla fractional di erence boundary value problems subject to anti-periodic boundary conditions, using the vector approach of Precup [4, 14, 19, 21]. Some examples are included to illustrate the theory.\"","PeriodicalId":30022,"journal":{"name":"Studia Universitatis BabesBolyai Geologia","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87743116","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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