, where Φp(u)=|u|p−2u, p>1,{an} is a positive real sequence for n≥1, and g is a positive
continuous function on ℕ×(0,u0),
0<u0≤∞. The effects of singular nonlinearities and
of the forcing term are treated as well.">
对离散奇异边值问题正解</gydF4y2Batitle>
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在这一页上</gydF4y2Badiv>
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<strong>开放获取</gydF4y2Bastrong>
<div class="articleHeader__meta">
<span>体积<gydF4y2Ba!-- -->2004年<gydF4y2Ba!-- -->|</gydF4y2Baspan>
<span>文章的ID<gydF4y2Ba!-- -->939317年<gydF4y2Ba!-- -->|</gydF4y2Baspan>
<span class="articleHeader__meta_doiLink"><a href="https://doi.org/10.1155/S1085337504306068" aria-label="Doi-link" target="_blank" rel="noreferrer">https://doi.org/10.1155/S1085337504306068</一个></span>
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<button class="simpleShowMore__button">显示引用</gydF4y2Babutton>
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<h1 class="articleHeader__title">对离散奇异边值问题正解</gydF4y2Bah1>
<div class="articleHeader__authors">
<span class="articleHeader__authors_author">马丽拉这套<gydF4y2Ba!-- -->,<gydF4y2Basup>1</gydF4y2Basup></span>
<span class="articleHeader__authors_author">Zuzana Došla<gydF4y2Ba!-- -->,<gydF4y2Basup>2</gydF4y2Basup></span>
<span class="articleHeader__authors_author">和<gydF4y2Ba!-- -->毛罗·马里尼<gydF4y2Basup>1</gydF4y2Basup></span>
</div>
<div class="simpleShowMore">
<button class="simpleShowMore__button">显示更多</gydF4y2Babutton>
</div>
<div class="articleHeader__timeline">
<div class="articleHeader__timeline_item ">
<strong>收到了</gydF4y2Bastrong>
<span>2002年12月10</gydF4y2Baspan>
</div>
</div>
</div>
<div class="articleBody">
<div class="xml-content">
<h4 class="header" id="abstract">文摘</gydF4y2Bah4>
<p>我们研究zero-convergent解的存在性的二阶非线性差分方程<gydF4y2Bamml:math alttext="$\Delta(a_{n}\Phi_{p}(\Delta x_{n}))=g(n,x_{n+1})$" id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mi>
Δ</gydF4y2Bamml:mi>
<mml:mrow>
<mml:mo>
(</gydF4y2Bamml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>
一个</gydF4y2Bamml:mi>
<mml:mi>
n</gydF4y2Bamml:mi>
</mml:msub>
<mml:msub>
<mml:mi>
Φ</gydF4y2Bamml:mi>
<mml:mi>
p</gydF4y2Bamml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>
(</gydF4y2Bamml:mo>
<mml:mrow>
<mml:mi>
Δ</gydF4y2Bamml:mi>
<mml:msub>
<mml:mi>
x</gydF4y2Bamml:mi>
<mml:mi>
n</gydF4y2Bamml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>
)</gydF4y2Bamml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>
)</gydF4y2Bamml:mo>
</mml:mrow>
<mml:mo>
=</gydF4y2Bamml:mo>
<mml:mi>
g</gydF4y2Bamml:mi>
<mml:mrow>
<mml:mo>
(</gydF4y2Bamml:mo>
<mml:mrow>
<mml:mi>
n</gydF4y2Bamml:mi>
<mml:mo>
,</gydF4y2Bamml:mo>
<mml:msub>
<mml:mi>
x</gydF4y2Bamml:mi>
<mml:mrow>
<mml:mi>
n</gydF4y2Bamml:mi>
<mml:mo>
+</gydF4y2Bamml:mo>
<mml:mn>
1</gydF4y2Bamml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>
)</gydF4y2Bamml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>,在那里<gydF4y2Bamml:math alttext="$\Phi_{p} (u)=|u|^{p-2}u$" id="E2" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msub>
<mml:mi>
Φ</gydF4y2Bamml:mi>
<mml:mi>
p</gydF4y2Bamml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>
(</gydF4y2Bamml:mo>
<mml:mi>
u</gydF4y2Bamml:mi>
<mml:mo>
)</gydF4y2Bamml:mo>
</mml:mrow>
<mml:mo>
=</gydF4y2Bamml:mo>
<mml:msup>
<mml:mrow>
<mml:mo>
|</gydF4y2Bamml:mo>
<mml:mi>
u</gydF4y2Bamml:mi>
<mml:mo>
|</gydF4y2Bamml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>
p</gydF4y2Bamml:mi>
<mml:mo>
−</gydF4y2Bamml:mo>
<mml:mn>
2</gydF4y2Bamml:mn>
</mml:mrow>
</mml:msup>
<mml:mi>
u</gydF4y2Bamml:mi>
</mml:math>,<gydF4y2Bamml:math alttext="$p>1$" id="E3" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
p</gydF4y2Bamml:mi>
<mml:mo>
></gydF4y2Bamml:mo>
<mml:mn>
1</gydF4y2Bamml:mn>
</mml:math>,<gydF4y2Bamml:math alttext="$\{a_{n}\}$" id="E4" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mo>
{</gydF4y2Bamml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>
一个</gydF4y2Bamml:mi>
<mml:mi>
n</gydF4y2Bamml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>
}</gydF4y2Bamml:mo>
</mml:mrow>
</mml:math>是一个积极的实际序列<gydF4y2Bamml:math alttext="$n\geq1$" id="E5" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
n</gydF4y2Bamml:mi>
<mml:mo>
≥</gydF4y2Bamml:mo>
<mml:mn>
1</gydF4y2Bamml:mn>
</mml:math>,<gydF4y2Bamml:math alttext="$g$" id="E6" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
g</gydF4y2Bamml:mi>
</mml:math>是一个积极的连续函数<gydF4y2Bamml:math alttext="$\mathbb{N}\times(0,u_{0})$" id="E7" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>
ℕ</gydF4y2Bamml:mi>
<mml:mo>
×</gydF4y2Bamml:mo>
<mml:mrow>
<mml:mo>
(</gydF4y2Bamml:mo>
<mml:mrow>
<mml:mn>
0</gydF4y2Bamml:mn>
<mml:mo>
,</gydF4y2Bamml:mo>
<mml:msub>
<mml:mi>
u</gydF4y2Bamml:mi>
<mml:mn>
0</gydF4y2Bamml:mn>
</mml:msub>
</mml:mrow>
<mml:mo>
)</gydF4y2Bamml:mo>
</mml:mrow>
</mml:math>,<gydF4y2Bamml:math alttext="$0<u_{0}\leq\infty$" id="E8" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mn>
0</gydF4y2Bamml:mn>
<mml:mo>
<</gydF4y2Bamml:mo>
<mml:msub>
<mml:mi>
u</gydF4y2Bamml:mi>
<mml:mn>
0</gydF4y2Bamml:mn>
</mml:msub>
<mml:mo>
≤</gydF4y2Bamml:mo>
<mml:mi>
∞</gydF4y2Bamml:mi>
</mml:math>。奇异非线性的影响以及强迫项的处理。</p></gydF4y2Badiv>
</div>
<h4 class="copyright-title" id="copyright">版权</gydF4y2Bah4>
<div class="copyright-body">
版权©2004 Hindawi出版公司。这是一个开放的分布式下文章<一个rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</一个>,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。</gydF4y2Badiv>
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<span>的观点</gydF4y2Baspan>
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199年</gydF4y2Badiv>
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<span>下载</gydF4y2Baspan>
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710年</gydF4y2Badiv>
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引用</gydF4y2Badiv>
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