Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Some functional differential equations

Author: Ll. G. Chambers
Journal: Quart. Appl. Math. 32 (1975), 445-456
MSC: Primary 34K10
DOI: https://doi.org/10.1090/qam/481357
MathSciNet review: 481357
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Abstract: Sufficient conditions are given for the solution of the functional differential equations with associated boundary conditions

$\displaystyle dy/dx = \sum\limits_{n = 0}^\infty {{a_n}y\left( {{\mu ^n}x} \rig... ...{a\left( u \right)y\left( {{\mu ^u}x} \right)du},\qquad y\left( 0 \right) = 1} $

A discussion is also given of some possible solutions to the differential equations which do not satisfy the boundary conditions.

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DOI: https://doi.org/10.1090/qam/481357
Article copyright: © Copyright 1975 American Mathematical Society

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