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On global properties of solutions of the equation y′(t)=ay(t−by(t))y'(t)=ay(t-by(t))

Svatoslav STANĚK

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Source: Crossref

Published: Feb 1, 2001

DOI: 10.14492/hokmj/1350911924

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Source abstract

Global properties of all maximal solutions of the iterative functional differential equation x′′(t)=a[x(x(t))−x(t)]+1x''(t)=a[x(x(t))-x(t)]+1 are considered. Using a correspondence among solutions of the above equation and those of the functional differential equation y′(t)=ay(t−by(t)y'(t)=ay(t- by(t)), global properties of all maximal solutions of the last equation are described.

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On global properties of solutions of the equation $y'(t)=ay(t-by(t))$ — Mathematical Frontier Network