Archive:: Pure and Applied Mathematics Journal:: Science Publishing Group

Volume 3, Issue 5, October 2014

Oscillation Criteria for a Class of Second Order Neutral Delay Differential Equations

Yanxiang Shi, Di Liu

Issue: Volume 3, Issue 5, October 2014

Pages: 95-98

Received: 28 August 2014

Accepted: 13 September 2014

Published: 20 September 2014

DOI: 10.11648/j.pamj.20140305.11

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Abstract: Oscillation criteria for a class of second order neutral delay differential equations of the form [c(t)((x(t)+p(t)x(t-τ))^' )^α ]^'+q(t)f(x(t-σ) )=0,t≥t_0 is studied. By using first and second mean value theorem of integrals, the new sufficient condition is obtained and the corresponding result what was already obtained is generalized by the result... Show More

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On Differential Growth Equation to Stochastic Growth Model Using Hyperbolic Sine Function in Height/Diameter Modeling of Pines

Oyamakin Samuel Oluwafemi, Chukwu Angela Unna

Issue: Volume 3, Issue 5, October 2014

Pages: 99-104

Received: 15 September 2014

Accepted: 30 September 2014

Published: 10 October 2014

DOI: 10.11648/j.pamj.20140305.12

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Abstract: Richrads growth equation being a generalized logistic growth equation was improved upon by introducing an allometric parameter using the hyperbolic sine function. The integral solution to this was called hyperbolic Richards growth model having transformed the solution from deterministic to a stochastic growth model. Its ability in model prediction ... Show More

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A Study on Compactness in Metric Spaces and Topological Spaces

Rabeya Akter, Nour Mohammed Chowdhury, Mohammad Safi Ullah

Issue: Volume 3, Issue 5, October 2014

Pages: 105-112

Received: 16 September 2014

Accepted: 27 September 2014

Published: 20 October 2014

DOI: 10.11648/j.pamj.20140305.13

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Abstract: Topology may be considered as an abstract study of the limit point concept. As such, it stems in part from recognition of the fact that many important mathematical topics depend entirely upon the properties of limit points. This study shows that compactness implies limit point compactness but not conversely and every compact space is locally compac... Show More

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