... letβ(2) = 1,β(2+) = Iβ(2)= 2.(2.25) FIRST- AND SECOND-ORDER DYNAMIC EQUATIONS WITH IMPULSE F. M. ATICI AND D. C. BILES Received 3 December 2004 and in revised form 11 February 2005We present ... solution and β(t) =2t +1, ift ∈0,12,−2(t − 1), if t ∈12,1, (3. 36)is an upper solution of the problem (3. 30)– (3. 34). F. M. Atici and D. C. Biles 125Let a,b ∈ J with ... ferhan .atici@ wku.edu D. C. Biles: Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101,USAE-mail address: daniel .biles@ wku.edu F. M. Atici and D. C. Biles 131 Theorem 3. 3...