We obtain sufficient conditions for the existence of at least three positive solutions for the equation x (t) + q(t)f (t, x(t), x (t)) = 0 subject to some boundary conditions. This is an application of a new fixed-point theorem introduced by Avery and Peterson .
In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources. Moreover, we also discuss the asymptotic behavior of solutions as the viscous coefficient k tends to zero.
Based on the research of multi-core load balancing's task scheduling and allocation, we proposed the static task graphs stratification algorithm, the static task group scheduling algorithm, and the minimum dynamic link algorithm, aiming at the characteristics of multi-core processors. When these algorithms allocate tasks, they are expected to complete… (More)
Tilt correction is a very crucial part of the Vehicle License Plate (VLP) automatic recognition. In this paper, according to the Weighted Least Square Method (WLSM), the VLP region is fitted to a straight line and then the line slope a<inf>1</inf> is obtained, by which the rotation angle a α is calculated. Finally the whole image is rotated by… (More)