We study both existence and the exact number of positive solutions of the problem . All righ . Iturria ðPkÞ k ju0j u0 0 þ f ðuÞ 1⁄4 0 in ð0;1Þ; uð0Þ 1⁄4 uð1Þ 1⁄4 0; <: where k is a positive parameter, p > 1, the nonlinearity f is positive in (0,1), and f ð0Þ 1⁄4 f ð1Þ 1⁄4 0. Assuming that f satisfies the condition lims!1 f ðsÞ ð1 sÞ 1⁄4 x > 0 where h 2 ð0; p 1Þ, we study its behavior near zero,...

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The multiple shooting method has proved to be a very reliable and eecient method for the solution of multipoint boundary value problems such as those obtained from the necessary conditions for the solutions of constrained optimal control problems. If this technique is also to be used for guidance purposes, special features have to be implemented to reach a computing speed which enables real-tim...

Based on the corrected Hohenberg-Kohn-Sham total energy density functional [Y. A. Zhang and Y. A. Wang, J. Chem. Phys. 130, 144116 (2009)], we have developed two linear-expansion shooting techniques (LIST)- direct LIST (LISTd) and indirect LIST (LISTi), to accelerate the convergence of self-consistent field (SCF) calculations. Case studies show that overall LISTi is the most robust and efficien...

The purpose of this study was to make a preliminary the criteria for accurate shooting techniques based on height. Researchers in analyzed an ball technique body posture consisting initial attitude, execution and final attitude. has been demonstrated by indoor hockey players at Sports Science Faculty, Jakarta State University. data obtained were taken through observation, interviews, filling ou...