<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.6//EN" "http://www.ncbi.nlm.nih.gov/corehtml/query/static/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>37</Volume>
				<Issue>No. 2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2011</Year>
					<Month>07</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>LINEAR ESTIMATE OF THE NUMBER OF ZEROS OF
ABELIAN INTEGRALS FOR A KIND OF QUINTIC
HAMILTONIANS</ArticleTitle><FirstPage>101</FirstPage>
			<LastPage>116</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>N. </FirstName>
					<LastName>NYAMORADI</LastName>
					<Affiliation></Affiliation>
				</Author>
<Author>
					<FirstName>H. </FirstName>
					<LastName>ZANGENEH</LastName>
					<Affiliation></Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2008</Year>
					<Month>10</Month>
					<Day>03</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[We consider the number of zeros of the integral $I(h) = oint_{Gamma_h} omega$ of real polynomial form $omega$ of degree not greater than $n$ over a family of vanishing cycles on curves $Gamma_h:$ $y^2+3x^2-x^6=h$, where the integral is considered as a function of the parameter $h$. We prove that the number of zeros of $I(h)$, for $0 < h < 2$, is bounded above by $2[frac{n-1}{2}]+1$.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Zeros of Abelian integrals</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Hilbert's 16th problem</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">limit cycles</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>