郑春华, 刘文斌. 具有时滞的p-Laplacian方程非局部问题迭代正解的存在性[J]. 华南师范大学学报（自然科学版）, 2013, 45(2). doi: 10.6054/j.jscnun.2013.01.004
引用本文: 郑春华, 刘文斌. 具有时滞的p-Laplacian方程非局部问题迭代正解的存在性[J]. 华南师范大学学报（自然科学版）, 2013, 45(2). doi: 10.6054/j.jscnun.2013.01.004
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Existence and Monotone Iteration of Positive Solutions for a Nonlocal Boundary Value Problem with Delay and p-Laplacian Operator[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2). doi: 10.6054/j.jscnun.2013.01.004
Citation: Existence and Monotone Iteration of Positive Solutions for a Nonlocal Boundary Value Problem with Delay and p-Laplacian Operator[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2). doi: 10.6054/j.jscnun.2013.01.004
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具有时滞的p-Laplacian方程非局部问题迭代正解的存在性

Existence and Monotone Iteration of Positive Solutions for a Nonlocal Boundary Value Problem with Delay and p-Laplacian Operator

    摘要
  • 摘要: 研究了一类具有时滞的p-Laplacian方程的非局部问题.利用单调迭代方法在未引入上下解的条件下得到了该边值问题正解存在的充分条件，并确立了收敛到该正解的迭代序列.

     

    Abstract: A class of nonlocal boundary value problem with p-Laplacian operator and delay is studied. By using monotone iterative technique without the assumption of the existence of lower and upper solutions, some sufficient conditions on the existence of positive solutions for this boundary value problem are obtained and corresponding iterative schemes which converge to the solutions are established.

     

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