An existence and uniqueness theorem for a certain class of functional equations

David Bulger; Bruce van-Brunt

An existence and uniqueness theorem for a certain class of functional equations

David Bulger, Bruce van-Brunt

Research output: Contribution to journal › Article › peer-review

Abstract

The existence and uniqueness of a solution to an integro-difFerential equation with retarded arguments Eire investigated in this paper. Local existence and uniqueness among functions w(t, z) continuously differentiable in the real variable t and holomorphic in the complex variable z is established by converting the problem to a functional equation in a scale of Banach spaces.

Original language	English
Pages (from-to)	9-21
Number of pages	13
Journal	New Zealand journal of mathematics
Volume	22
Publication status	Published - 1993
Externally published	Yes

Cite this

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title = "An existence and uniqueness theorem for a certain class of functional equations",

abstract = "The existence and uniqueness of a solution to an integro-difFerential equation with retarded arguments Eire investigated in this paper. Local existence and uniqueness among functions w(t, z) continuously differentiable in the real variable t and holomorphic in the complex variable z is established by converting the problem to a functional equation in a scale of Banach spaces.",

author = "David Bulger and Bruce van-Brunt",

year = "1993",

language = "English",

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journal = "New Zealand journal of mathematics",

issn = "1171-6096",

publisher = "New Zealand Mathematical Society and Department of Mathematics, University of Auckland",

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AU - van-Brunt, Bruce

PY - 1993

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AB - The existence and uniqueness of a solution to an integro-difFerential equation with retarded arguments Eire investigated in this paper. Local existence and uniqueness among functions w(t, z) continuously differentiable in the real variable t and holomorphic in the complex variable z is established by converting the problem to a functional equation in a scale of Banach spaces.

M3 - Article

SN - 1171-6096

VL - 22

SP - 9

EP - 21

JO - New Zealand journal of mathematics

JF - New Zealand journal of mathematics

ER -

An existence and uniqueness theorem for a certain class of functional equations

Abstract

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