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Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation

Journal of Mathematical and Fundamental Sciences · Vol. 47 No. 2 (2015) · pp. 143–153

DOI
10.5614/j.math.fund.sci.2015.47.2.3
ISSN
2338-5510, 2337-5760
Published
2015-06-01
Publisher
Directorate for Research and Innovation (DRI) ITB
Language
eng

Abstract

In this paper, by using the fixed point method, we prove two new results on the Hyers-Ulam-Rassias and the Hyers-Ulam stability for the first order delay differential equation of the formy"²(t) = F(t, y(t), y(t −τ )).Our results improve some related results in the literature.

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Metadata source: OAI-PMH (metadata jurnal) https://journals.itb.ac.id/index.php/jmfs/oai, first harvested 9 Nov 2026, last seen 9 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation</dc:title>
	<dc:creator>Tunç, Cemil</dc:creator>
	<dc:creator>Biçer, Emel</dc:creator>
	<dc:subject xml:lang="en-US">first order</dc:subject>
	<dc:subject xml:lang="en-US">fixed point</dc:subject>
	<dc:subject xml:lang="en-US">functional differential equation</dc:subject>
	<dc:subject xml:lang="en-US">generalized metric</dc:subject>
	<dc:subject xml:lang="en-US">Hyers-Ulam-Rassias stability</dc:subject>
	<dc:description xml:lang="en-US">In this paper, by using the fixed point method, we prove two new results on the Hyers-Ulam-Rassias and the Hyers-Ulam stability for the first order delay differential equation of the formy"²(t) = F(t, y(t), y(t −τ )).Our results improve some related results in the literature. </dc:description>
	<dc:publisher xml:lang="en-US">Directorate for Research and Innovation (DRI) ITB</dc:publisher>
	<dc:date>2015-06-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journals.itb.ac.id/index.php/jmfs/article/view/606</dc:identifier>
	<dc:identifier>10.5614/j.math.fund.sci.2015.47.2.3</dc:identifier>
	<dc:source xml:lang="en-US">Journal of Mathematical and Fundamental Sciences; Vol. 47 No. 2 (2015); 143-153</dc:source>
	<dc:source>2338-5510</dc:source>
	<dc:source>2337-5760</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journals.itb.ac.id/index.php/jmfs/article/view/606/850</dc:relation>
</oai_dc:dc>