Journal of Guangdong University of Technology ›› 2014, Vol. 31 ›› Issue (2): 69-73.doi: 10.3969/j.issn.1007-7162.2014.02.013

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Existence of Solutions for a Class of FourthOrder BVP

Lu Yu   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520，China
  • Online:2014-06-06 Published:2018-06-12
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Abstract: A class of fourthorder BVP was studied as follows, 
〖WTBX〗〖JZ〗〖JB({〗u(4)(t)=〖QX(Y15〗SymbollAp〖QX)〗a(t)f(t,u(t),u″(t)),0<t<1,
u(0)=u(1)=0,u″(0)=u″(1)=0.〖JB)〗 〖WTBZ〗
By using the method of the upper and lower solutions and the fixed point theorem, some sufficient conditions of the existence of upper BVP were achieved. 

Key words: fixed point theorem, upper and lower solutions, existence

CLC Number: 

  • O175.1
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