Institution: | aDepartment of Mathematics, National Taipei Teacher’s College, Taipei 10659, Taiwan, ROC bHolistic Education Center, St. John’s and St. Mary’s Institute of Technology, Tamsui, Taipei, Taiwan, ROC cDepartment of Information Management, Lunghwa University of Science and Technology, Kueishan Taoyuan, 333 Taiwan, ROC dDepartment of Information Management, National Kaohsiung Institute of Marine Technology, No.142, Hai Chuan Road, Nan-Tzu Dist, Kaohsiung, Taiwan, ROC |
Abstract: | The purpose of this work is to establish the timescale version of Lyapunov’s inequality as follows: Let be a nontrivial solution of satisfying . Then, under suitable conditions on , , and , we have where and satisfies if . Here is a timescale (see below). |