EXISTENCE RESULTS FOR ANTI-PERIODIC BOUNDARY VALUE PROBLEMS OF NONLINEAR SECOND-ORDER IMPULSIVE qk-DIFFERENCE EQUATIONS
نویسندگان
چکیده
منابع مشابه
EXISTENCE RESULTS FOR NONLINEAR IMPULSIVE qk-INTEGRAL BOUNDARY VALUE PROBLEMS
u(T ) = ∑m i=0 ∫ ti+1 ti g(s, u(s)) dqis, where Dqk are qk-derivatives (k = 0, 1, 2, . . . ,m), f, g ∈ C(J ×R, R), Ik ∈ C(R,R), J = [0, T ](T > 0), 0 = t0 < t1 < · · · < tk < · · · < tm < tm+1 = T , J ′ = J\{t1, t2, . . . , tm}, and ∆u(tk) = u(t + k ) − u(t − k ), u(t + k ) and u(t − k ) denote the right and the left limits of u(t) at t = tk (k = 1, 2, . . . ,m) respectively. The study of q-dif...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2016
ISSN: 1015-8634
DOI: 10.4134/bkms.2016.53.2.335