Periodicity and continuous dependence in iterative differential equations

DOI10.1007/s12215-019-00420-5zbMath1453.34089OpenAlexW2948083853MaRDI QIDQ777197

Ahcene Djoudi, Abdelouaheb Ardjouni, Bouzid Mansouri

Publication date: 3 July 2020

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-019-00420-5

zbMATH Keywords

stabilityperiodic solutionsfixed pointiterative differential equations

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (3)

On the existence and uniqueness of positive periodic solutions of neutral differential equations ⋮ Unnamed Item ⋮ Positive solutions of nonlinear fourth order iterative differential equations with two-point and integral boundary conditions

Uses Software

• Green

Cites Work

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• The functional differential equation \(x'(t)=x(x(t))\)
• New qualitative results for solutions of functional differential equations of second order
• Solutions of equivariance for iterative differential equations.
• Pseudo almost periodic solutions for a class of first order differential iterative equations
• Periodic solutions of an iterative functional differential equation with variable coefficients
• Green’s Functions in the Theory of Ordinary Differential Equations
• Analytic solutions of an iterative functional differential equation
• Analytic solutions of a second-order iterative functional differential equation

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