M(λ) Problems On Time Scales

This paper is concerned with the m(λ) problems on time scales.The paper is devided into five chapters.The first section is the introduction of the whole paper. This part mainly introduces the background of this paper, and make plans for the reseach of the problems.The next section of the paper is composed of some basical definitions and theorems,includes the definition of the time scales and the calculus on time scales.The third section gives a classification of the second-order singular differential equationwhere q : T→C is continuous with the limit-point and limit-circle cases.The fourth section mainly introduces the m(λ) functions on time scales, presents the asymptotic properties of m(λ) in the limit-point case.The last section summarizes the the work of the whole paper.