【摘要】：應用錐不動點定理并結合Banach空間中的半序結構,研究了一類梁方程的可解性問題.不僅得到了梁方程正解的存在性結果,并且討論了梁方程正解對參數(shù)的依賴性.注意到梁方程中含有正參數(shù)λ和L~p-可積函數(shù),獲得的結果是新的,并從本質上推廣了已有文獻的結果.
[Abstract]:The solvability of a class of beam equations is studied by using the cone fixed point theorem and the semi-ordered structure in Banach spaces. Not only the existence of positive solution of beam equation is obtained, but also the dependence of positive solution of beam equation on parameters is discussed. The positive parameter 位 and LP- integrable function are found in the beam equation. The results obtained are new and generalize the results obtained in the literature.
【作者單位】： 北京信息科技大學理學院;
【基金】：國家自然科學基金(9011623903) 北京市教委科技計劃項目(71E1710957)
【分類號】：O175.8
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本文編號：2347895