MULTIPLE POSITIVE SOLUTIONS FOR A THIRD-ORDER THREE-POINT BVP WITH SIGN-CHANGING GREEN'S FUNCTION

MULTIPLE POSITIVE SOLUTIONS FOR A THIRD-ORDER THREE-POINT BVP WITH SIGN-CHANGING GREEN'S FUNCTION
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发表时间：
2012
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通讯作者：
Jian-Ping Sun;Juan Zhao
Jian-Ping Sun;Juan Zhao
中科院分区：
其他
文献类型：
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作者：
Jian-Ping Sun;Juan Zhao

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研究了三阶三点边值问题u000（t）= f（t，u（t）），t2（0，1），u0（0）= u（1）= u00（）= 0.虽然相应的绿色函数是变号的，但在f上适当的条件下，对任意正整数m，我们仍然得到了至少2m1正解的存在性.
This article concerns the third-order three-point boundary-value problem u 000 (t) = f(t,u(t)), t 2 (0,1), u 0 (0) = u(1) = u 00 ( ) = 0. Although the corresponding Green's function is sign-changing, we still obtain the existence of at least 2m 1 positive solutions for arbitrary positive integer m under suitable conditions on f.