On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument
On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument作者机构:Department of Mathematics Beijing Normal University Beijing China
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2002年第45卷第4期
页 面:484-502页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:This work was partially supported by the National Natural Science Foundationof China (Grant No. 19831030) SRF for ROCS, SEM, the Foundation for University Key Teacher by the Ministry of Education National Key Basic Research Special Foundation of Ch
主 题:pseudo almost periodic solution, pseudo almost periodic sequence, piecewise constant argument, singular perturbation.
摘 要:A new class of ergodic sequences, pseudo almost periodic sequence, is introduced, and the existence of pseudo almost periodic sequence to difference equation is studied. Based on these, we investigate the existence of pseudo almost periodic solutions for a nonautonomous, singularly perturbed differential equations with piecewise constant argument.