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Positive solutions of singular positone Dirichlet boundary value problems. (English) Zbl 0996.34019

Here, the Dirichlet positone problem \[ y''+\mu qf(t,y,y')=0,\;0<t<T, \quad y(0)=y(T)=0, \] is discussed. One existence result is presented and in it \(f(t,x,y)\) may be singular at \(x=0\) and \(x=A>0\) of the phase variable \(x\) and at \(y=0\) of the phase variable \(y\).

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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References:

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