scholarly journals Duality and semi-group property for backward parabolic Itô equations

2010 ◽  
Vol 18 (1) ◽  
Author(s):  
Nikolai Dokuchaev
Keyword(s):  
Group Property ◽  
Semi Group

PRESERVATION OF LOG-CONCAVITY AND LOG-CONVEXITY UNDER OPERATORS

2020 ◽  
pp. 1-14
Author(s):  
Wanwan Xia ◽  
Tiantian Mao ◽  
Taizhong Hu
Keyword(s):  
Distribution Function ◽  
Operations Research ◽  
Random Variable ◽  
Group Property ◽  
Semi Group ◽  
Real Numbers ◽  
Bernstein Type ◽  
Stochastic Comparisons ◽  
Weighted Distributions ◽  
The Family

Log-concavity [log-convexity] and their various properties play an increasingly important role in probability, statistics, operations research and other fields. In this paper, we first establish general preservation theorems of log-concavity and log-convexity under operator $\phi \longmapsto T(\phi , \theta )=\mathbb {E}[\phi (X_\theta )]$ , θ ∈ Θ, where Θ is an interval of real numbers or an interval of integers, and the random variable $X_\theta$ has a distribution function belonging to the family $\{F_\theta , \theta \in \Theta \}$ possessing the semi-group property. The proofs are based on the theory of stochastic comparisons and weighted distributions. The main results are applied to some special operators, for example, operators occurring in reliability, Bernstein-type operators and Beta-type operators. Several known results in the literature are recovered.

scholarly journals The Appell transform and the semigroup property for temperatures

1996 ◽  
Vol 60 (1) ◽  
pp. 109-117 ◽  
Author(s):  
Elizabeth Kochneff ◽  
Yoram Sagher
Keyword(s):  
Heat Equation ◽  
Group Property ◽  
Semi Group ◽  
Semigroup Property ◽  
One Dimensional ◽  
The One

AbstractWe prove that if u(x, t) is a solution of the one dimensional heat equation and if A u(x, t) is its Appell transform, then u(x, t) has the semi-group (Huygens) property in a domain D if and only if A u(x, t) has the semi-group property in a dual region. We apply this result to simplify and extend some results of Rosenbloom and Widder.

scholarly journals A generalized sequential problem of Lane-Emden type via fractional calculus

2020 ◽  
Vol 6 (2) ◽  
pp. 168-183 ◽  
Author(s):  
Yazid Gouari ◽  
Zoubir Dahmani ◽  
Ameth Ndiaye
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Existence And Uniqueness ◽  
Sufficient Conditions ◽  
Group Property ◽  
Semi Group ◽  
Singular Differential Equation ◽  
Banach Contraction ◽  
The Fixed Point Theorem

AbstractIn this paper, we combine the Riemann-Liouville integral operator and Caputo derivative to investigate a nonlinear time-singular differential equation of Lane Emden type. The considered problem involves n fractional Caputo derivatives under the conditions that neither commutativity nor semi group property is satisfied for these derivatives. We prove an existence and uniqueness analytic result by application of Banach contraction principle. Then, another result that deals with the existence of at least one solution is delivered and some sufficient conditions related to this result are established by means of the fixed point theorem of Schaefer. We end the paper by presenting to the reader some illustrative examples.

Kelembagaan Masyarakat dan Struktur Agraria serta Keberlanjutan Sumberdaya Alam di Kawasan Capa

Agrotek ◽  
2018 ◽  
Vol 2 (3) ◽  
Author(s):  
Mecky Sagrim
Keyword(s):  
Natural Resources ◽  
Local Community ◽  
Property Right ◽  
Local Institutions ◽  
Group Property ◽  
Young Shoot ◽  
Agrarian Structure

Aim of the research as follows: (1) inquisitive about variation of laws in regulating agrarian resources use, (2) function of traditional law in regulation at used of natural resources and related with existence on natural preservation-in formal law, and (3) inquiring influence outsider intervention to local institutions with the agrarian structure and relationship between expectation agrarian conflict. The unity of the study is Arfak community-as much as local community- was that administrative limited seatle in certain locations around natural preservation area of the Arfak Mountain. The trategy of the research is case study, while analysis of the data with qualitative manner. Result of the research is in the locations study beside property right of local community and movement of Arfak community from high land include at the resettlement programme. Not a problem related with economic subsistence with economic un-security because group property right community give free to the movement community for use to agriculture developing. For developing concept of forest sustainable as nit side to one side, income several NGO as well as role as institution relationship (young-shoot autonomy) for accommodation importance various party supra-village in relationship with existence natural preservation area of the Arfak Mountain and the party of local community in related of security in economic subsistence.

Sub-normed Z-linear Spaces on Commutative Semi-group

2012 ◽  
Vol 14 (2) ◽  
pp. 157
Author(s):  
Yanqiu WANG ◽  
Huaxin ZHAO
Keyword(s):  
Semi Group ◽  
Linear Spaces

The relativistic semi-group, Lorentz group, and tachyons. II

1976 ◽  
Vol 19 (5) ◽  
pp. 616-619
Author(s):  
V. V. Yudin
Keyword(s):  
Lorentz Group ◽  
Semi Group
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