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Zbl 0882.34029
Eloe, Paul W.; Henderson, Johnny
Singular nonlinear $(n-1,1)$ conjugate boundary value problems. (English)
[J] Georgian Math. J. 4, No.5, 401-412 (1997). ISSN 1072-947X; ISSN 1572-9176/e

Summary: Solutions are obtained for the boundary value problem, $y^{(n)}+ f(x,y)= 0$, $y^{(i)}(0)= y(1)= 0$, $0\le i\le n-2$, where $f(x,y)$ is singular at $y=0$. An application is made of a fixed point theorem for operators that are decreasing with respect to a cone.

MSC 2000:: *34B15 Nonlinear boundary value problems of ODE

Keywords: boundary value problem; singular

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Zentralblatt MATH Berlin [Germany]