1 Department of Mathematics, University of South Florida, 4202 East Fowler Ave., Tampa, FL 33620, USA; e-mail: [email protected] 2 Institute for Constructive Mathematics, Department of Mathematics, University of South Florida, 4202 East Fowler Ave., Tampa, FL 33620, USA; e-mail: [email protected] 3 Department ofMathematics and Statistics, University of Cyprus, P.O. Box 20537,Nicosia, Cypru...

In this paper, we establish two kinds of Emden–Fowler type equations of third order. We investigate the linear and the nonlinear third-order equations, with specified initial conditions, by using the systematic variational iteration method. We corroborate this study by investigating several Emden–Fowler type examples with initial value conditions.

We give the description of nonlinear nonautonomous ordinary differential equations of order n with a so-called reducible linear part. The group classification of generalized Emden-Fowler equations of the mentioned class is done. We have found such laws of the variation of f(x) that the equation admits one, two, or tree one-parameter Lie groups.

In this paper we define DaVIME (Data Visualization, Indexing and Mining Engine), a software architecture that performs data visualization, indexing and mining in an integrated environment. DaVIME presents a unified view of information to the users. When a user issues an information service request, DaVIME calls the appropriate software module to provide the requested service. One or more compon...

We welcome the opportunity to clarify issues raised by Gualda & Ghiorso (G&G, hereafter) on our 2010 paper, ‘A metamodel for crustal magmatism: phase equilibria of giant ignimbrites’. Voluminous (V 100^1000 km) explosive eruption of silicic magma, accompanied by eruption columns that may empty into the stratosphere, has environmental consequences of planetary significance and represents an impo...