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<Article>
<Journal>
<PublisherName>OICC Press</PublisherName>
<JournalTitle>Mathematical Analysis and its Contemporary Applications</JournalTitle>
<Issn></Issn>
<Volume>1</Volume>
<Issue>1</Issue>
<PubDate PubStatus="epublish">
<Year>2019</Year>
<Month>01</Month>
<Day>01</Day>
</PubDate>
</Journal>
<ArticleTitle>Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces</ArticleTitle>
<VernacularTitle></VernacularTitle>
<FirstPage></FirstPage>
<LastPage></LastPage>
<ELocationID EIdType="doi">10.30495/maca.2019.679849</ELocationID>
<Language>EN</Language>
<AuthorList>
<Author>
<FirstName>John Michael</FirstName>
<LastName>Rassias</LastName>
<Affiliation>Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4 Agamemnonos Street, Aghia Paraskevi, Athens 15342, Greece</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
<Author>
<FirstName>Mohan</FirstName>
<LastName>Arunkumar</LastName>
<Affiliation>Department of Mathematics, Government Arts College, Tiruvannamalai-606603, Tamil Nadu, India</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
<Author>
<FirstName>Elumalai</FirstName>
<LastName>Sathya</LastName>
<Affiliation>Department of Mathematics, Shanmuga Industries Arts and Science College, Tiruvannamalai-606603, Tamil Nadu, India</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
</AuthorList>
<PublicationType>Journal Article</PublicationType>
<History>
<PubDate PubStatus="received">
<Year>2019</Year>
<Month>01</Month>
<Day>01</Day>
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<Abstract>In this paper, we introduce and examine the generalized Ulam-Hyers stability of fixed Euler-Lagrange k-Cubic-Quartic functional Equation f(x + ky) + f(kx + y) + f(x - ky) + f(y - kx) = k^2 [2f(x + y) + f(x - y) + f(y - x)] + 2(k^4 - 1)[f(x) + f(y)] + k^2/4 (k^2 - 1)[f(2x) + f(2y)] where k is a real number with k ≠ 0, ±1 in various Banach spaces with the help of two different methods.</Abstract>
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<Param Name="value">Cubic functional equation</Param>
</Object>
<Object Type="keyword">
<Param Name="value">quartic functional equations</Param>
</Object>
<Object Type="keyword">
<Param Name="value">mixed type functional equations</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Generalized Hyers-Ulam stability</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Banach space</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Quasi-Beta Banach space</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Fuzzy Banach space</Param>
</Object>
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</Article>
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