Approximate solutions of the logistic equation and Ulam stability

DOI10.1016/j.aml.2018.05.018zbMath1402.39016OpenAlexW2806926977MaRDI QIDQ1992209

Ioan Raşa, Dorian Popa, Adrian Viorel

Publication date: 2 November 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.05.018

zbMATH Keywords

logistic modelapproximate solutionUlam stability

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Stability for nonlinear problems in mechanics (70K20) Population dynamics (general) (92D25) Stability, separation, extension, and related topics for functional equations (39B82) Stability of solutions to ordinary differential equations (34D20)

Related Items

Conditional Ulam stability and its application to von Bertalanffy growth model ⋮ On approximate solutions of a class of Clairaut's equations ⋮ Conditional Ulam stability and its application to the logistic model ⋮ Asymptotic behavior of discrete time fuzzy single species model

Cites Work

• On the Hyers-Ulam stability of the linear differential equation
• On some inequalities and stability results related to the exponential function
• A characterization of Hyers-Ulam stability of first order linear differential operators.
• The Hyers--Ulam stability constants of first order linear differential operators
• Hyers-Ulam stability of the linear differential operator with nonconstant coefficients
• Ulam stability of operators
• A fixed point approach to the stability of differential equations \(y'=F(x,y)\)
• Hyers–Ulam stability of linear differential operator with constant coefficients
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