Emden–Fowler type equations are nonlinear differential that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an asymptotic analysis of a specific equation emerges queuing theory context approximation voltages under well-known power flow model. Thus, place the electrical engineering. We derive properties continuous solution study behavior ...

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...

In this paper, we will establish some new oscillation criteria for the second-order superlinear neutral delay dynamic equation of Emden-Fowler type [ a(t)(y(t) + r(t)y(τ(t))) ]∆ + p(t) |y(δ(t))| signy(δ(t)) = 0, on a time scale T; here γ > 1, a(t), r(t), τ(t), p(t) and δ(t)real-valued positive functions defined on T. Our results in the special case when T = R, improve the oscillation results fo...

The study of the symmetric properties differential equations is essential for identifying effective methods solving them. In this paper, we examine oscillatory behavior solutions Emden–Fowler-type mixed non-linear neutral with both canonical and non-canonical operators. By utilizing integral conditions averaging method, present new sufficient to ensure that all are oscillatory. Our results enha...