A nonstandard Volterra integral equation on time scales

[摘要] This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales. We use Lipschitz type function and the Banach’s fixed point theorem at functional space endowed with a suitable Bielecki type norm. Furthermore, it allows to get new sufficient conditions for boundedness and continuous dependence of solutions.

[学科分类] 外科医学

[关键词] Volterra integral equations;time scales;bounded solution;continuous dependence