On the functional-differential equation of advanced type \(f^{\prime}(x)=af(2x)\) with \(f(0)=0\)

DOI10.1016/j.jmaa.2005.11.034zbMath1103.34056OpenAlexW2022152917WikidataQ115346289 ScholiaQ115346289MaRDI QIDQ820020

Tsuyoshi Yoneda

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.034

zbMATH Keywords

functional-differential equationadvanced type

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Related Items (6)

Sommes de Birkhoff itérées sur des extensions finies d'odomètres. Construction de solutions auto-similaires à des équations différentielles avec délai ⋮ On the functional-differential equation of advanced type \(f^{\prime }(x)=af(\lambda x), \lambda >1\), with \(f(0)=0\) ⋮ Majoration of the dimension of the space of concatenated solutions to a specific pantograph equation ⋮ Arithmetic of the Fabius function ⋮ Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces ⋮ Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching

Cites Work

• Global solutions to certain nonlinear functional differential equations
• ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE FUNCTIONAL DIFFERENTIAL EQUATION y′(x) = ay(λx) + by(x)
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
• Unnamed Item

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