<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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].</p></abstract>

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].

Nonlinear second-order delay differential equation

Faculty of Physics Mathematics and Computer Science

Technical Transactions

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

{"article-title":"Nonlinear second-order delay differential equation"}

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...

Nonlinear second-order delay differential equation

Published Online: May 23, 2020

Page range: 141 - 147

Received: Feb 21, 2019

DOI: https://doi.org/10.4467/2353737XCT.19.038.10212

Keywords
second-order delay equation, initial-boundary value problem, Banach contraction principle, Bielecki norm

© 2019 Ludwik Byszewski, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Nonlinear second-order delay differential equation

Published Online: May 23, 2020

Page range: 141 - 147

Received: Feb 21, 2019

DOI: https://doi.org/10.4467/2353737XCT.19.038.10212

Keywordssecond-order delay equation, initial-boundary value problem, Banach contraction principle, Bielecki norm

© 2019 Ludwik Byszewski, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Keywords
second-order delay equation, initial-boundary value problem, Banach contraction principle, Bielecki norm