Using the scalar and tensor virial equations, the Lane-Emden equation expressing the hydrostatic equilibrium and small oscillations around the equilibrium, we show how the cosmological constant Λ affects various astrophysical quantities important for large matter conglomeration in the universe. Among others we examine the effect of Λ on the polytropic equation of state for spherically symmetric...

In this work we study class I interior solutions supported by anisotropic polytropes. The generalized Lane--Emden equation compatible with the embedding condition is obtained and solved for a different set of parameters in both isothermal non--isothermal regimes. For completeness, Tolman mass computed analysed to some extend. As complementary consider impact Karmarkar on functions respectively....

Sufficient conditions are given for a generalized Emden-Fowler equation with deviating argument to have nonoscillatory solutions with prescribed asymptotic behavior as t —> oo. The integrability condition on the nonlinear term requires only conditional convergence, supplemented by a condition on the order of convergence, which is automatically satisfied in some important special cases. The expo...

Via a sub-supersolution method and a perturbation argument, we study the Lane-Emden-Fowler equation −∆u = p(x)[g(u) + f(u) + |∇u| ] in RN (N ≥ 3), where 0 < q < 1, p is a positive weight such that R∞ 0 rφ(r)dr < ∞, where φ(r) = max|x|=r p(x), r ≥ 0. Under the hypotheses that both g and f are sublinear, which include no monotonicity on the functions g(u), f(u), g(u)/u and f(u)/u, we show the exi...

High-level Petri nets for the process description and control in service-oriented manufacturing systems J. Marco Mendes a , Paulo Leitão b c , Armando W. Colombo d e & Francisco Restivo a c a Faculty of Engineering of University of Porto, Porto, Portugal b Department of Electrical Engineering, Politechnic Institute of Braganca, Braganca, Portugal c LIACC Artificial Intelligence and Computer Sci...

Michael R. Berthold,* Marco Ortolani, David Patterson, Frank Höppner, Ondine Callan, Heiko Hofer University of Konstanz, 78457 Konstanz, Germany University of Palermo, Department of Electrical Engineering, Viale delle Scienze 90128 Palermo, Italy Tripos, Inc., 1699 S. Hanley Road, St. Louis, MO 64133 University of Applied Sciences, Emden, Department of Electrical Engineering and Computer Scienc...

Traditional Adomian decomposition method (ADM) usually fails to solve singular initial value problems of Emden-Fowler type. To overcome this shortcoming, a new and effective modification of ADM that only requires calculation of the first Adomian polynomial is formally proposed in the present paper. Three singular initial value problems of Emden-Fowler type with , 1 α  , 2 and , 2  and have be...

We present two new analytic methods that are used for solving initial value problems that model polytropic and stellar structures in astrophysics and mathematical physics. The applicability, effectiveness, and reliability of the methods are assessed on the Lane-Emden equation which is described by a second-order nonlinear differential equation. The results obtained in this work are also compare...

Using the scalar and tensor virial equations, the Lane-Emden equation expressing the hydrostatic equilibrium and small oscillations around the equilibrium, we show how the cosmological constant Λ affects various astrophysical quantities important for large matter conglomeration in the universe. Among others we examine the effect of Λ on the polytropic equation of state for spherically symmetric...