Dedicated to Prof. Jaroslav Kurzweil on the occasion of his 80th birthday Abstract. Asymptotic properties of the half-linear difference equation (∗) ∆(an|∆xn| α sgn∆xn) = bn|xn+1| α sgnxn+1 are investigated by means of some summation criteria. Recessive solutions and the Riccati difference equation associated to (∗) are considered too. Our approach is based on a classification of solutions of (...

We give a necessary and sufficient condition for a circle rotation to have the s-exponent monotone shrinking target property (sMSTP), and, thereby, we generalize a result for s = 1 that was established by J. Kurzweil and rediscovered by B. Fayad. As another application of our technique, we obtain a new, very short, proof of a known result, which concerns the behavior of irrational rotations and...

This study was designated to examine the effectiveness of Computer-based intervention (CBI) on high school students’ reading performance and self-efficacy. Fifty high school students from 2 resource rooms were recruited. The students in the experimental group (CBI group) received training on the Kurzweil 3000 by the classroom teacher and the researcher and use the Kurzweil to do homework/course...