We present some conditions for the existence and uniqueness of almost automorphic solutions of third order neutral delay-differential equations with piecewise constant of the form(X(t) +px(t - 1))″′, = a0x(...We present some conditions for the existence and uniqueness of almost automorphic solutions of third order neutral delay-differential equations with piecewise constant of the form(X(t) +px(t - 1))″′, = a0x([t]) + a1x([t - 1]) + f(t),where [.] is the greatest integer function, p, a0 and al are nonzero constants, and f(t) is almost automorphic.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11271380,11501238)Natural Science Foundation of Guangdong Province(Grant Nos.2014A030313641,2016A030313119,S2013010013212)the Major Project Foundation of Guangdong Province Education Department(No.2014KZDXM070)
文摘We present some conditions for the existence and uniqueness of almost automorphic solutions of third order neutral delay-differential equations with piecewise constant of the form(X(t) +px(t - 1))″′, = a0x([t]) + a1x([t - 1]) + f(t),where [.] is the greatest integer function, p, a0 and al are nonzero constants, and f(t) is almost automorphic.