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Contemporary theory of functional differential equations and some classical problems

✍ Scribed by N.V. Azbelev


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
80 KB
Volume
63
Category
Article
ISSN
0362-546X

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✦ Synopsis


Transformation of a large class of linear varieties (not necessarily functions) into a Banach space B Γ—R n is proposed, leading to a generalization of the classical space of differentiable functions which opens new horizons in the study of functional differential equations.


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## Abstract We prove some comparison results for the periodic boundary value problem related to a first‐order functional differential equation of advanced type. These maximum principles provide uniqueness results for nonlinear differential equations with advanced arguments. By a change of variable,