%0 Journal Article %T Nonlinear second-order delay differential equation %A Byszewski, Ludwik %J Technical Transactions %V 2019 %R 10.4467/2353737XCT.19.038.10212 %N Volume 3 Year 2019 (116) %P 141-148 %K second-order delay equation, initial-boundary value problem, Banach contraction principle, Bielecki norm %@ 0011-4561 %D 2019 %U https://ejournals.eu/en/journal/czasopismo-techniczne/article/nonlinear-second-order-delay-differential-equation %X The aim of this paper is to prove the theorem on the existence and uniqueness of the classical solution of the initial-boundary value problem for a nonlinear second-order delay differential equation. For this purpose, we apply the Banach contraction principle and the Bielecki norm. The paper is based on publications [1–7] and is a generalisation of publication [6].