A local existence theorem for a class of delay differential equations

DOI10.12775/TMNA.2016.023zbMath1365.34134OpenAlexW2322991306MaRDI QIDQ526142

Ioan I. Vrabie

Publication date: 8 May 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2016.023

zbMATH Keywords

semilinear wave equationlocal existencedelay differential equationspseudoparabolic equationmetrix fixed point argumentstopological fixed point arguments

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)