On the functional-differential equation of advanced type \(f^{\prime }(x)=af(\lambda x), \lambda >1\), with \(f(0)=0\)

DOI10.1016/j.jmaa.2006.10.029zbMath1122.34039OpenAlexW4213315966WikidataQ115346250 ScholiaQ115346250MaRDI QIDQ882031

Tsuyoshi Yoneda

Publication date: 23 May 2007

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.2006.10.029

zbMATH Keywords

Fourier transformadvanced Functional differential equation

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) General theory of functional-differential equations (34K05)

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Cites Work

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• On the functional-differential equation of advanced type \(f^{\prime}(x)=af(2x)\) with \(f(0)=0\)
• On some nonlinear ordinary differential equations with advanced arguments.
• 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 $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
• On a Functional Differential Equation

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