Nonlinear second-order delay differential equation

Byszewski, Ludwik

doi:10.4467/2353737XCT.19.038.10212

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Nonlinear second-order delay differential equation

Technical Transactions

Volume 116 (2019): Issue 3 (March 2019)

By: Ludwik Byszewski

Open Access

|May 2020

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].

References

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[4] Lin Xiao Ning, Xu Xiao Jie, Singular semipositive boundary value problems for second-order delay differential equations, Acta Math. Sci. Ser A (Chin. Ed.) 25.4, 2005, 49–502.
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DOI: https://doi.org/10.4467/2353737XCT.19.038.10212 | Journal eISSN: 2353-737X | Journal ISSN: 0011-4561

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Language: English

Page range: 141 - 147

Submitted on: Feb 21, 2019

Published on: May 23, 2020

Published by: Cracow University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

second-order delay equation,

initial-boundary value problem,

Banach contraction principle,

Bielecki norm

Related subjects:

Architecture and design,

Architecture,

Architects, buildings,

Engineering,

Mechanical engineering,

Mechanics,

Industrial chemistry,

Chemical engineering,

Materials sciences,

Materials sciences, other

© 2020 Ludwik Byszewski, published by Cracow University of Technology
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

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