Study of periodic solutions for third-order iterative differential equations via Krasnoselskii-Burton's theorem

DOI10.2478/ausm-2022-0005zbMath1502.34077OpenAlexW4309548185MaRDI QIDQ2110452

Abdelouaheb Ardjouni, Abderrahim Guerfi

Publication date: 21 December 2022

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2022-0005

zbMATH Keywords

Green's functionperiodic solutionlarge contractioniterative differential equationsKrasnoselskii-Burton's fixed point

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Functional-differential equations in abstract spaces (34K30) Periodic solutions to functional-differential equations (34K13) Nonlinear ordinary differential operators (34L30)

Cites Work

• Green's function for third-order differential equations
• Periodic solutions of a class of third-order functional differential equations with iterative source terms
• Periodic solutions for a second order nonlinear functional differential equation
• Existence of positive periodic solution for variable-coefficient third-order differential equation with singularity
• Periodic solutions of an iterative functional differential equation with variable coefficients
• Existence of periodic solutions in totally nonlinear delay dynamic equations
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