TY - JOUR ID - Człapiński2014 LB - Człapiński2014 AU - Człapiński, Tomasz TI - Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay ST - Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2014 VL - 34 IS - 2 SP - 327 EP - 338 DO - http://dx.doi.org/10.7494/OpMath.2014.34.2.327 UR - http://dx.doi.org/10.7494/OpMath.2014.34.2.327 AB - We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem. We prove a theorem on the global convergence of successive approximations to a unique solution of the Darboux problem. KW - successive approximations KW - Darboux problem KW - infinite delay SN - 1232-9274 ER -