We consider the second order differential equation ( a(t)|x′|α sgn x′ )′ + b(t)|x| sgn x = 0 in the super-linear case α < β. We prove the existence of the so-called intermediate solutions and we discuss their coexistence with other types of nonoscillatory and oscillatory solutions. Our results are new even for the Emden–Fowler equation (α = 1).

In this article we consider the existence and uniqueness of local weak solutions to the Emden-Fowler type wave equation tutt − uxx = |u|p−1u in [1, T ]× (a, b) with initial-boundary value conditions in a finite time interval.

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.

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.

BACKGROUND Respiratory dead-space is often increased in lung disease. This study evaluates the effects of increased alveolar dead-space (Vd(alv)), pulmonary shunt, and abnormal ventilation perfusion ratio (/) distributions on dead-space and alveolar partial pressure of carbon dioxide (Pa(co(2))) calculated by various methods, assesses a recently published non-invasive method (Koulouris method) ...

We obtain the optimal system’s generating operators associated to a modification of generalization Emden–Fowler Equation. Using those we characterize all invariant solutions generalized. Moreover, present variational symmetries and corresponding conservation laws, using Noether’s theorem Ibragimov’s method. Finally, classify Lie algebra given equation.