, n∈ℕ0, where A, p, and r are positive real numbers. It is shown that (a) If p2≥4r>4, or p≥1+r, r≤1, then this equation has positive unbounded solutions; (b) if p2<4r, or 2r≤p<1+r, r∈(0,1), then all positive solutions of the equation are bounded. Also, an analogous result is proved
regarding positive solutions of the max type difference equation xn+1=max{A,xnp/xn−1r}, where A, p, q∈(0,∞).">
在递归序列xn + 1 = + xnp / xn−1 r</t我tle>
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<p>在这一页上</p><span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#abstract" aria-label="">文摘</a></span>
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<p class="sc-kZmsYB bkiEfx article_type">研究文章|<!-- -->开放获取</p><div class="sc-RcBXQ ztvYg article_citation">
体积<!-- -->
<!-- -->2007年<!-- -->
<span class="sc-fZwumE cUsFHx">|</span>文章的ID<!-- -->
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<span class="sc-fZwumE cUsFHx">|</span>
<a class="sc-htpNat bUhGXt link sc-fQejPQ duuwge" href="https://doi.org/10.1155/2007/40963" aria-label="Doi-link">https://doi.org/10.1155/2007/40963</a>
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<p>Stevo Stevic<!-- -->,<!-- -->
<!-- -->”<span class="adjust-article-svg-size">在递归序列<米米l:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML">
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</mml:math></span>”,<!-- --><i>离散动力学性质和社会</我>,<!-- -->
<!-- -->卷。<!-- -->2007年<!-- -->,<!-- -->
<!-- -->文章的ID<!-- -->040963年<!-- -->,<!-- -->
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<!-- -->2007年<!-- -->。<!-- -->
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<h1 class="sc-iRbamj jZOxOO sc-iSDuPN hHHqqR article_title adjust-article-svg-size heading-title">在递归序列<米米l:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML">
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</mml:math></h1>
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<div class="sc-jrIrqw eHMFfo article_authors">
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<span class=""><b>Stevo Stevic</b><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail Option"><span class="sc-htoDjs kNoiZu sc-hjRWVT irNWJI icon-colored _2zt-1j0LmaF8UjTQAM413G icon-themeable" title="" font-size="16"></span></a><sup>1</sup></span>
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<p><sup>1</sup><span>数学研究所的塞尔维亚科学院Knez Mihailova 35 /我,11000年贝尔格莱德,塞尔维亚</span></p>
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<span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">收到了</span>
<span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2007年10月01</span>
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<div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished">
<span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">接受</span>
<span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2007年11月05</span>
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<div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC isPublished">
<span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">发表</span>
<span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2008年1月30日</span>
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<h4 class="header" id="abstract">文摘</h4>
<p>本文认为差分方程的正解的有界性特征<米米l:math id="E2" xmlns:mml="http://www.w3.org/1998/Math/MathML">
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n</米米l:mi>
<mml:mi>
p</米米l:mi>
</mml:msubsup>
</mml:mrow>
<mml:mo>
/</米米l:mo>
<mml:mrow>
<mml:msubsup>
<mml:mi>
x</米米l:mi>
<mml:mrow>
<mml:mi>
n</米米l:mi>
<mml:mo>
−</米米l:mo>
<mml:mn>
1</米米l:mn>
</mml:mrow>
<mml:mi>
r</米米l:mi>
</mml:msubsup>
</mml:mrow>
</mml:mrow>
</mml:math>,<米米l:math id="E3" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mi>
n</米米l:mi>
<mml:mo>
∈</米米l:mo>
<mml:msub>
<mml:mi>
ℕ</米米l:mi>
<mml:mn>
0</米米l:mn>
</mml:msub>
</mml:mrow>
</mml:math>,在那里<米米l:math id="E4" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
一个</米米l:mi>
</mml:math>,<米米l:math id="E5" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
p</米米l:mi>
</mml:math>,<米米l:math id="E6" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
r</米米l:mi>
</mml:math>是正实数。结果表明,(a)<米米l:math id="E7" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>
p</米米l:mi>
<mml:mn>
2</米米l:mn>
</mml:msup>
<mml:mo>
≥</米米l:mo>
<mml:mn>
4</米米l:mn>
<mml:mi>
r</米米l:mi>
<mml:mo>
></米米l:mo>
<mml:mn>
4</米米l:mn>
</mml:math>,或<米米l:math id="E8" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
p</米米l:mi>
<mml:mo>
≥</米米l:mo>
<mml:mn>
1</米米l:mn>
<mml:mo>
+</米米l:mo>
<mml:mi>
r</米米l:mi>
</mml:math>,<米米l:math id="E9" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
r</米米l:mi>
<mml:mo>
≤</米米l:mo>
<mml:mn>
1</米米l:mn>
</mml:math>,那么这个方程正无界解;(b)如果<米米l:math id="E10" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msup>
<mml:mi>
p</米米l:mi>
<mml:mn>
2</米米l:mn>
</mml:msup>
<mml:mo>
<</米米l:mo>
<mml:mn>
4</米米l:mn>
<mml:mi>
r</米米l:mi>
</mml:math>,或<米米l:math id="E11" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mn>
2</米米l:mn>
<mml:msqrt>
<mml:mi>
r</米米l:mi>
</mml:msqrt>
<mml:mo>
≤</米米l:mo>
<mml:mi>
p</米米l:mi>
<mml:mo>
<</米米l:mo>
<mml:mn>
1</米米l:mn>
<mml:mo>
+</米米l:mo>
<mml:mi>
r</米米l:mi>
</mml:math>,<米米l:math id="E12" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
r</米米l:mi>
<mml:mo>
∈</米米l:mo>
<mml:mrow>
<mml:mo>
(</米米l:mo>
<mml:mrow>
<mml:mn>
0</米米l:mn>
<mml:mo>
,</米米l:mo>
<mml:mn>
1</米米l:mn>
</mml:mrow>
<mml:mo>
)</米米l:mo>
</mml:mrow>
</mml:math>,那么所有方程的正解有界的。也有类似的结果证明了关于马克斯型差分方程的正解<米米l:math id="E13" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msub>
<mml:mi>
x</米米l:mi>
<mml:mrow>
<mml:mi>
n</米米l:mi>
<mml:mo>
+</米米l:mo>
<mml:mn>
1</米米l:mn>
</mml:mrow>
</mml:msub>
<mml:mo>
=</米米l:mo>
<mml:mo>
马克斯</米米l:mo>
<mml:mrow>
<mml:mo>
{</米米l:mo>
<mml:mrow>
<mml:mi>
一个</米米l:mi>
<mml:mo>
,</米米l:mo>
<mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi>
x</米米l:mi>
<mml:mi>
n</米米l:mi>
<mml:mi>
p</米米l:mi>
</mml:msubsup>
</mml:mrow>
<mml:mo>
/</米米l:mo>
<mml:mrow>
<mml:msubsup>
<mml:mi>
x</米米l:mi>
<mml:mrow>
<mml:mi>
n</米米l:mi>
<mml:mo>
−</米米l:mo>
<mml:mn>
1</米米l:mn>
</mml:mrow>
<mml:mi>
r</米米l:mi>
</mml:msubsup>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>
}</米米l:mo>
</mml:mrow>
</mml:math>,在那里<米米l:math id="E14" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
一个</米米l:mi>
</mml:math>,<米米l:math id="E15" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
p</米米l:mi>
</mml:math>,<米米l:math id="E16" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
问</米米l:mi>
<mml:mo>
∈</米米l:mo>
<mml:mrow>
<mml:mo>
(</米米l:mo>
<mml:mrow>
<mml:mn>
0</米米l:mn>
<mml:mo>
,</米米l:mo>
<mml:mi>
∞</米米l:mi>
</mml:mrow>
<mml:mo>
)</米米l:mo>
</mml:mrow>
</mml:math>。</p></div>
<div class="xml-content">
<h4 class="references" id="references">引用</h4>
<ol>
<li id="B1">a . m . Amleh e·a·格罗夫g . Ladas,和d·a·乔治奥”递归序列<米ath id="C1" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<msub>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
+</米o>
<mn>
1</米n></米row>
</msub>
<mo>
=</米o>
<mi>
α</米我><米o>
+</米o>
<mrow>
<mrow>
<msub>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
−</米o>
<mn>
1</米n></米row>
</msub>
</mrow>
<mo>
/</米o>
<mrow>
<msub>
<mi>
x</米我><米我>n</米我></米sub>
</mrow>
</mrow>
</mrow>
</math>”,<我>《数学分析和应用程序</我>,卷233,不。2、790 - 798年,1999页。<span class="reflinks">视图:<a href="https://doi.org/10.1006/jmaa.1999.6346">出版商的网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=On%20the%20recursive%20sequence%20xn+1=a+xn-1/xn&author=A. M. Amleh&author=E. A. Grove&author=G. Ladas&author=&author=D. A. Georgiou&publication_year=1999" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A0962.39004">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR1689579">MathSciNet</a></span></li>
<li id="B2">k . s . Berenhaut j·d·弗利,s . Stević“定量递归序列的范围<米ath id="C2" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<msub>
<mi>
y</米我><米row>
<mi>
n</米我><米o>
+</米o>
<mn>
1</米n></米row>
</msub>
<mo>
=</米o>
<mi>
一个</米我><米o>
+</米o>
<mrow>
<mrow>
<msub>
<mi>
y</米我><米我>n</米我></米sub>
</mrow>
<mo>
/</米o>
<mrow>
<msub>
<mi>
y</米我><米row>
<mi>
n</米我><米o>
−</米o>
<mi>
k</米我></米row>
</msub>
</mrow>
</mrow>
</mrow>
</math>”,<我>应用数学的信</我>,19卷,不。9日,第989 - 983页,2006年。<span class="reflinks">视图:<a href="https://scholar.google.com/scholar_lookup?title=Quantitative%20bounds%20for%20the%20recursive%20sequence%20yn+1=A+yn/yn-k&author=K. S. Berenhaut&author=J. D. Foley&author=&author=S. Stević&publication_year=2006" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR2240496">MathSciNet</a></span></li>
<li id="B3">k . s . Berenhaut j·d·福利和美国Stević全球有理差分方程的周期<米ath id="C3" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<msub>
<mi>
y</米我><米我>n</米我></米sub>
<mo>
=</米o>
<mn>
1</米n><米o>
+</米o>
<mrow>
<mrow>
<msub>
<mi>
y</米我><米row>
<mi>
n</米我><米o>
−</米o>
<mi>
k</米我></米row>
</msub>
</mrow>
<mo>
/</米o>
<mrow>
<msub>
<mi>
y</米我><米row>
<mi>
n</米我><米o>
−</米o>
<mi>
米</米我></米row>
</msub>
</mrow>
</mrow>
</mrow>
</math>”,<我>美国数学学会学报》上</我>,卷135,不。4、1133 - 1140年,2007页。<span class="reflinks">视图:<a href="https://doi.org/10.1090/S0002-9939-06-08580-7">出版商的网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=The%20global%20attractivity%20of%20the%20rational%20difference%20equation%20yn=1+yn-k/yn-m&author=K. S. Berenhaut&author=J. D. Foley&author=&author=S. Stević&publication_year=2007" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A1109.39004">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR2262916">MathSciNet</a></span></li>
<li id="B4">k . s . Berenhaut和s . Stević”行为的差分方程的正解<米ath id="C4" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<msub>
<mi>
x</米我><米我>n</米我></米sub>
<mo>
=</米o>
<mi>
一个</米我><米o>
+</米o>
<msup>
<mrow>
<mrow>
<mo>
(</米o>
<mrow>
<mrow>
<mrow>
<msub>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
−</米o>
<mn>
2</米n></米row>
</msub>
</mrow>
<mo>
/</米o>
<mrow>
<msub>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
−</米o>
<mn>
1</米n></米row>
</msub>
</mrow>
</mrow>
</mrow>
<mo>
)</米o>
</mrow>
</mrow>
<mi>
p</米我></米sup>
</mrow>
</math>”,<我>《差分方程和应用程序</我>,12卷,不。9日,第918 - 909页,2006年。<span class="reflinks">视图:<a href="https://doi.org/10.1080/10236190600836377">出版商的网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=The%20behaviour%20of%20the%20positive%20solutions%20of%20the%20difference%20equation%20xn=A+(xn-2/xn-1)p&author=K. S. Berenhaut &author=S. Stević&publication_year=2006" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A1111.39003">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR2262329">MathSciNet</a></span></li>
<li id="B5">l . Berg“非线性差分方程的渐近。”<我>和您Anwendungen Zeitschrift毛皮分析</我>,21卷,不。4、1061 - 1074年,2002页。<span class="reflinks">视图:<a href="https://scholar.google.com/scholar_lookup?title=On%20the%20asymptotics%20of%20nonlinear%20difference%20equations&author=L. Berg&publication_year=2002" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A1030.39006">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR1957315">MathSciNet</a></span></li>
<li id="B6">r . DeVault g . Ladas,和s•舒尔茨(george w . bush)”,在递归序列<米ath id="C5" xmlns="http://www.w3.org/1998/Math/MathML">
<msub>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
+</米o>
<mn>
1</米n></米row>
</msub>
<mo>
=</米o>
<mrow>
<mi>
一个</米我><米o>
/</米o>
<mrow>
<msub>
<mi>
x</米我><米我>n</米我></米sub>
<mo>
+</米o>
<mrow>
<mn>
1</米n><米o>
/</米o>
<mrow>
<msub>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
−</米o>
<mn>
2</米n></米row>
</msub>
</mrow>
</mrow>
</mrow>
</mrow>
</math>”,<我>美国数学学会学报》上</我>,卷126,不。11日,第3261 - 3257页,1998年。<span class="reflinks">视图:<a href="https://doi.org/10.1090/S0002-9939-98-04626-7">出版商的网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=On%20the%20recursive%20sequence%20xn+1=A/xn+1/xn-2&author=R. DeVault&author=G. Ladas&author=&author=S. W. Schultz&publication_year=1998" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A0904.39012">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR1473661">MathSciNet</a></span></li>
<li id="B7">h . m . El-Owaidy a . m .艾哈迈德和m . s .,“差分方程的渐近行为<米ath id="C6" xmlns="http://www.w3.org/1998/Math/MathML">
<msub>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
+</米o>
<mn>
1</米n></米row>
</msub>
<mo>
=</米o>
<mi>
α</米我><米o>
+</米o>
<mrow>
<mrow>
<msubsup>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
−</米o>
<mn>
1</米n></米row>
<mi>
p</米我></米subsup>
</mrow>
<mo>
/</米o>
<mrow>
<msubsup>
<mi>
x</米我><米我>n</米我><米我>p</米我></米subsup>
</mrow>
</mrow>
</math>”,<我>应用数学与计算》杂志上</我>,12卷,不。1 - 2,31-37,2003页。<span class="reflinks">视图:<a href="https://scholar.google.com/scholar_lookup?title=On%20asymptotic%20behaviour%20of%20the%20difference%20equation%20xn+1=a+xn-1p/xnp&author=H. M. El-Owaidy&author=A. M. Ahmed&author=&author=M. S. Mousa&publication_year=2003" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A1052.39005">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR1976801">MathSciNet</a></span></li>
<li id="B8">b . d . Iričanin”高阶差分方程的全局收敛性结果,“<我>离散动力学性质和社会</我>文章ID 91292卷,2007年,p . 7, 2007。<span class="reflinks">视图:<a href="https://doi.org/10.1155/2007/91292">出版商的网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=A%20global%20convergence%20result%20for%20a%20higher-order%20difference%20equation&author=B. D. Iričanin&publication_year=2007" target="_blank">谷歌学术搜索</a></span></li>
<li id="B9">w·t·Patula和h . d . Voulov振荡和周期性特点的三阶有理差分方程,”<我>美国数学学会学报》上</我>,卷131,不。3、905 - 909年,2003页。<span class="reflinks">视图:<a href="https://doi.org/10.1090/S0002-9939-02-06611-X">出版商的网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=On%20the%20oscillation%20and%20periodic%20character%20of%20a%20third%20order%20rational%20difference%20equation&author=W. T. Patula &author=H. D. Voulov&publication_year=2003" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A1014.39010">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR1937429">MathSciNet</a></span></li>
<li id="B10">s . Stević”递归序列<米ath id="C7" xmlns="http://www.w3.org/1998/Math/MathML">
<msub>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
+</米o>
<mn>
1</米n></米row>
</msub>
<mo>
=</米o>
<mi>
α</米我><米o>
+</米o>
<mrow>
<mrow>
<msubsup>
<mi>
x</米我><米row>
<mi>
n</米我><米o>
−</米o>
<mn>
1</米n></米row>
<mi>
p</米我></米subsup>
</mrow>
<mo>
/</米o>
<mrow>
<msubsup>
<mi>
x</米我><米我>n</米我><米我>p</米我></米subsup>
</mrow>
</mrow>
</math>”,<我>应用数学与计算》杂志上</我>,18卷,不。1 - 2、229 - 234年,2005页。<span class="reflinks">视图:<a href="https://scholar.google.com/scholar_lookup?title=On%20the%20recursive%20sequence%20xn+1=a+xn-1p/xnp&author=S. Stević&publication_year=2005" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A1078.39013">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR2137703">MathSciNet</a></span></li>
<li id="B11">s . Stević”单调差分方程解的一些类,“<我>离散动力学性质和社会</我>文章ID 53890卷,2006年,p . 2006。<span class="reflinks">视图:<a href="https://scholar.google.com/scholar_lookup?title=On%20monotone%20solutions%20of%20some%20classes%20of%20difference%20equations&author=S. Stević&publication_year=2006" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A1109.39013">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR2244285">MathSciNet</a></span></li>
<li id="B12">s . Stević”递归序列<米ath id="C8" xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
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</math>”,<我>离散动力学性质和社会</我>文章ID 39404卷,2007年,p . 7, 2007。<span class="reflinks">视图:<a href="https://scholar.google.com/scholar_lookup?title=On%20the%20recursive%20sequence%20xn=1+?i=1kaixn-pi/?j=1mßjxn-qj&author=S. Stević&publication_year=2007" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR2293716">MathSciNet</a></span></li>
<li id="B13">s . Stević”递归序列<米ath id="C9" xmlns="http://www.w3.org/1998/Math/MathML">
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<li id="B14">s . Stević”递归序列<米ath id="C10" xmlns="http://www.w3.org/1998/Math/MathML">
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</math>”,出现在<我>应用数学的信</我>。<span class="reflinks">视图:<a href="https://doi.org/10.1016/j.aml.2007.08.008">出版商的网站</a><span class="sep">|</span><a href="https://scholar.google.com/scholar_lookup?title=On%20the%20recursive%20sequence%20xn+1=max{c,xnp/xn-1p}&author=S. Stević" target="_blank">谷歌学术搜索</a></span></li>
<li id="B15">t .太阳和h . Xi,”全球行为的非线性差分方程<米ath id="C11" xmlns="http://www.w3.org/1998/Math/MathML">
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</math>”,<我>离散动力学性质和社会</我>文章ID 90625卷,2006年,p . 2006。<span class="reflinks">视图:<a href="https://scholar.google.com/scholar_lookup?title=On%20the%20global%20behavior%20of%20the%20nonlinear%20difference%20equation%20xn+1=f(pn,xn-m,xn-t(k+1)+1)&author=T. Sun &author=H. Xi&publication_year=2006" target="_blank">谷歌学术搜索</a><span class="sep">|</span><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A1118.39004">Zentralblatt数学</a><span class="sep">|</span><a href="https://www.ams.org/mathscinet-getitem?mr=MR2244310">MathSciNet</a></span></li>
</ol>
</div>
<div class="xml-content">
<h4 class="copyright" id="copyright">版权</h4>
<p>版权©2007 Stevo Stević。这是一个开放的分布式下文章<a rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</a>,它允许无限制的使用、分配和复制在任何媒介,提供最初的工作是正确引用。</p></div>
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的观点<span>302年</span>
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下载<span>587年</span>
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