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Zbl 1169.34043
Kang, Ping; Wei, Zhongli; Xu, Juanjuan
Positive solutions to fourth-order singular boundary value problems with integral boundary conditions in abstract spaces. (English)
[J] Appl. Math. Comput. 206, No. 1, 245-256 (2008). ISSN 0096-3003

The authors discuss the existence of positive solutions for some 4th-order singular boundary value problems with integral boundary conditions in Banach spaces. Some interesting results are obtained by using the fixed point theory in cone. The results improve many previous works in the same field. Some example is provided for illustration.
[Khalil Ezzinbi (Marrakech)]

MSC 2000:: *34G20 Nonlinear ODE in abstract spaces
34B18 Positive solutions of nonlinear boundary value problems
34B15 Nonlinear boundary value problems of ODE
47N20 Appl. of operator theory to differential and integral equations

Keywords: positive solutions; fixed points; boundary value problems; integral boundary conditions

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