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.

We introduce a new variational method in order to derive results concerning existence and nodal properties of solutions to superlinear equations, and we focus on applications to the equation where h is a Caratheodory function which is odd in u. In the particular case where h is radially symmetric, we prove, for given n 2 N, the existence of a solution having precisely n nodal domains, whereas s...

Abstract In this paper, we study the oscillation of a class third-order Emden–Fowler delay dynamic equations with sublinear neutral terms on time scales. By using Riccati transformation and integral inequality, establish several new theorems to ensure that each solution equation oscillates or asymptotically approaches zero, results in literature are supplemented extended. Examples given illustr...

Abstract The purpose of this paper is to analyze the conformally flat spherically symmetric fluid distribution with generalized polytropic equations state. We have developed two different framework for definitions polytropes. frameworks development modified Lane–Emden equation are presented both cases. condition used calculate anisotropy factor which transform considered systems into consistent...

The theory of dynamical systems and their widespread applications involve, for example, the Lane–Emden-type equations which are known to arise in initial- boundary-value problems with singularity at time t=0. main objective this paper is make use some mathematical analytic tools techniques order numerically solve reaction–diffusion equations, spherical catalysts biocatalysts, by applying Chebys...