DSpace Collection: Volume 40, Number 2
http://hdl.handle.net/10525/3431
Serdica Mathematical Journal Volume 40, Number 3-4, 2014The Collection's search engineSearch the Channelsearch
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Availability of a Repairable k-out-of-n: G System with Repair Times Arbitrarily Distributed
http://hdl.handle.net/10525/3458
Title: Availability of a Repairable k-out-of-n: G System with Repair Times Arbitrarily Distributed<br/><br/>Authors: Gherda, Mebrouk; Boushaba, Mahmoud<br/><br/>Abstract: An k-out-of-n: G system is a system that consists of n components and works if and only if k components among the n work simultaneously. The system and each of its components can be in only one of two states: working or failed. When a component fails it is put under repair and the other components stay in the “working” state with adjusted rates of failure. After repair, a component works as new and its actual lifetime is the same as initially. If the failed component is repaired before another component fails, the (n − 1) components recover their initial lifetime. The lifetime and time of repair are independent. In this paper, we propose a technique to calculate the mean time of repair, the probability of various states of the system and its availability by using the theory of distribution. 2010 Mathematics Subject Classification: 90B25, 60K10.Wed, 01 Jan 2014 00:00:00 GMTNew Oscillation Criteria for Third Order Nonlinear Neutral Delay Difference Equations with Distributed Deviating Arguments
http://hdl.handle.net/10525/3457
Title: New Oscillation Criteria for Third Order Nonlinear Neutral Delay Difference Equations with Distributed Deviating Arguments<br/><br/>Authors: Elabbasy, E. M.; Barsom, M. Y.; AL-dheleai, F. S.<br/><br/>Abstract: 2010 Mathematics Subject Classification: 39A10, 39A12.Wed, 01 Jan 2014 00:00:00 GMTSchur-Szegö Composition of Small Degree Polynomials
http://hdl.handle.net/10525/3456
Title: Schur-Szegö Composition of Small Degree Polynomials<br/><br/>Authors: Kostov, Vladimir Petrov<br/><br/>Abstract: We consider real polynomials in one variable without root at 0 and without multiple roots. Given the numbers of the positive, negative and complex roots of two such polynomials, what can be these numbers for their composition of Schur-Szegö? We give the exhaustive answer to the question for degree 2, 3 and 4 polynomials and also in the case when the degree is arbitrary, the composed polynomials being with all roots real, and one of the polynomials having all roots but one of the same sign. 2010 Mathematics Subject Classification: 12D10.<br/><br/>Description: [Kostov Vladimir Petrov; Костов Владимир Петров]Wed, 01 Jan 2014 00:00:00 GMTLimit of Three-Point Green Functions: the Degenerate Case
http://hdl.handle.net/10525/3455
Title: Limit of Three-Point Green Functions: the Degenerate Case<br/><br/>Authors: Quang Hai, Duong; Thomas, Pascal J.<br/><br/>Abstract: We investigate the limits of the ideals of holomorphic functions vanishing on three points in C^2 when all three points tend to the origin, and what happens to the associated pluricomplex Green functions. This is a continuation of the work of Magnusson, Rashkovskii, Sigurdsson and Thomas, where those questions were settled in a generic case. 2010 Mathematics Subject Classification: 32U35, 32A27.Wed, 01 Jan 2014 00:00:00 GMT