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 ...

Abstract We prove sharp blow up rates of solutions higher order conformally invariant equations in a bounded domain with an isolated singularity, and show the asymptotic radial symmetry near singularity. This is extension celebrated theorem Caffarelli-Gidas-Spruck for second Yamabe equation singularities to equations. Our approach uses analysis local integral equations, unified all critical ell...

PURPOSE Fowler and Stephens showed that by dividing the spermatic vessels a high intra-abdominal testis could be placed in the scrotum. Testicular atrophy is a potential complication of this technique. We conducted a systematic review to determine whether single or 2-stage Fowler-Stephens orchiopexy results in better testicular viability. MATERIALS AND METHODS We searched electronic databases...

Sufficient conditions are given for a generalized Emden-Fowler equation with deviating argument to have nonoscillatory solutions with prescribed asymptotic behavior as t —> oo. The integrability condition on the nonlinear term requires only conditional convergence, supplemented by a condition on the order of convergence, which is automatically satisfied in some important special cases. The expo...