monch meaning in English

门希山
蒙奇
尚峰

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
本文利用锥理论、单调迭代技术、锥拉伸压缩不动点原理、上下解方法、不等式迭代技术、 m ( ? ) nch不动点理论等，研究了几类微分方程解的情况所得结果或是新的，或是采用新方法在更弱条件下推广和改进以前的结果
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
本章首先建立两个新的比较结果，利用m袖ch不动点理论，在比文网凹更广泛的条件下得到解的存在性定理其主要结果如下：引理1祉卜匕较结果）设pepc je nc ‘厂在满足lp ’三一m （ t ） p ? n （川tp ）， vtej ，意一k ，（ o卜