monch 中文意思是什麼

monch 解釋
門希山
  1. Therefore, in the first chapter, we shall construct two new comparison results for ivp ( 1. 1 ), and then we obtain an existence theorem of ivp ( l. l ) by means of the monch fixed theorem, which conditions are wider than the paper [ 2 ] and [ 4 ]. now, we state the main results as follows : lemma 1. 5 ( comparison results ) letsatisfy where m ( t ), n ( t ) are positive bounded and integrable functions

    本章首先建立兩個新的比較結果,利用m袖ch不動點理論,在比文網凹更廣泛的條件下得到解的存在性定理其主要結果如下:引理1祉卜匕較結果)設pepc je nc 『廠在滿足lp 』三一m ( t ) p ? n (川tp ) , vtej ,意一k , ( o卜
  2. The present thesis employs the cone theory, monotone iterative technique, the conical expansion and compression principle, the method of upper and lower solutions, the monch theory of fixed point, and so on, to investigate the existence of solutions of sevral differential equations. the obtained results are either new or intrinsically generalize and improve the previous relevant ones under weaker conditions

    本文利用錐理論、單調迭代技術、錐拉伸壓縮不動點原理、上下解方法、不等式迭代技術、 m ( ? ) nch不動點理論等,研究了幾類微分方程解的情況所得結果或是新的,或是採用新方法在更弱條件下推廣和改進以前的結果
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