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Positive solutions to fourth-order singular boundary value problems with integral boundary conditions in abstract spaces. (English) Zbl 1169.34043
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.
MSC:
34G20Nonlinear ODE in abstract spaces
34B18Positive solutions of nonlinear boundary value problems for ODE
34B15Nonlinear boundary value problems for ODE
47N20Applications of operator theory to differential and integral equations