The Generalized Emden-Fowler Equation

Application of the exact operational matrices for solving the Emden-Fowler equations, arising in ‎Astrophysics‎

The objective of this paper is applying the well-known exact operational matrices (EOMs) idea for solving the Emden-Fowler equations, illustrating the superiority of EOMs over ordinary operational matrices (OOMs). Up to now, a few studies have been conducted on EOMs ; but the solved differential equations did not have high-degree nonlinearity and the reported results could not strongly show the...

Multiple solutions for boundary value problems of a discrete generalized Emden-Fowler equation

By using critical point theory, some new sufficient conditions for the existence of at least 2N distinct solutions to boundary value problems of a discrete generalized Emden–Fowler equation are obtained. © 2009 Elsevier Ltd. All rights reserved.

Intermediate Solutions for Emden–Fowler Type Equations: Continuous Versus Discrete

The existence of a class of nonoscillatory solutions for a generalized Emden–Fowler differential equation is studied. Some analogies and discrepancies between the continuous and discrete case are also discussed. AMS subject classification: Primary 34C10, Secondary 34C15, 39A10.

Existence of Solutions to Boundary Value Problems for the Discrete Generalized Emden-Fowler Equation

Oscillation Behavior of a Class of New Generalized Emden-fowler Equations

Equation (2) has some oscillation behavior [1-3], In 2012, Liu [4] obtained some oscillation criteria of eq. (1). In the last decades, the Emden-Fowler equations have attracted extensive attention for the relevance to nuclear physics and gaseous dynamics in astrophysics, the oscillation behavior of the Emden-Fowler equations are studied by many scholars [5-10]. In this paper, we further study f...