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Pexider type equation on a region

Pexider type equation on a region AbstractWe consider the problem of existence and uniqueness ofextensions for the solutions of the Pexider type equationf⁢(x+y)=g⁢(x)+h⁢(y)+k⁢(x)⁢l⁢(y){f(x+y)=g(x)+h(y)+k(x)l(y)}for (x,y)∈D{(x,y)\in D}, where X is a normed space and D is a nonempty open and connected subset of X2{X^{2}}. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Analysis de Gruyter

Pexider type equation on a region

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Publisher
de Gruyter
Copyright
© 2017 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6082
eISSN
1869-6082
DOI
10.1515/jaa-2017-0014
Publisher site
See Article on Publisher Site

Abstract

AbstractWe consider the problem of existence and uniqueness ofextensions for the solutions of the Pexider type equationf⁢(x+y)=g⁢(x)+h⁢(y)+k⁢(x)⁢l⁢(y){f(x+y)=g(x)+h(y)+k(x)l(y)}for (x,y)∈D{(x,y)\in D}, where X is a normed space and D is a nonempty open and connected subset of X2{X^{2}}.

Journal

Journal of Applied Analysisde Gruyter

Published: Dec 1, 2017

References