In this article, we obtain oscillation conditions for second-order differential equation with neutral term. Our results extend, improve, and simplify some known delay equations. Several effective illustrative implementations are provided.

Abstract In the present paper, we will incorporate three very useful aspects of astrophysics, generalized polytropes, Karmarkar condition and complexity factor to study compact objects. For this purpose a charged anisotropic fluid distribution is used under static spherical symmetry. We develop framework for class I Lane–Emden equations non-isothermal isothermal regimes. Generalized polytropic ...

Article history: Received 28 May 2010 Available online 16 September 2010 Submitted by Goong Chen

Introduction The investigation of Lane Emden HLEEL equation has a long standing history Hsee, e.g., @1 10D, to mention only part of a vast literatureL. Recently Schaudt @6D has shown that Picard type iteration scheme may be used to show the existence, uniqueness and regularity of global solutions of LEE , in particular, for n 3 1. In this paper it was shown that straightforward usage of Picard ...

In this paper we exploit the phenomenon of two principal half eigenvalues in context fully nonlinear Lane–Emden type systems with possibly unbounded coefficients and weights. We show that gives rise to existence spectral curves on plane. develop an anti-maximum principle, which is a novelty even for involving Laplacian operator. As applications, derive maximum principle small domains these syst...

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