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Existence results for a class of BVPs on the positive half-line. (English) Zbl 1129.34017
The authors use a fixed point theorem on cones in Banach spaces due to R. Avery and D. R. Anderson [J. Difference Equ. Appl. 8, No. 11, 1073–1083 (2002; Zbl 1013.47019)] to provide sufficient conditions for the existence of a positive solution of a boundary value problem of the form
\[ -y''(t)+cy'(t)+\lambda y=f(x,y(x)),\quad x>0, \]
\[ y(0)=y(+\infty)=0. \] Some applications with numerical results are also given.

MSC:
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
47H10 Fixed-point theorems
34B40 Boundary value problems on infinite intervals for ordinary differential equations
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