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Solvability of singular nonlinear two-point boundary value problems. (English) Zbl 0876.34017
This paper discusses singular nonlinear boundary value problems. In particular the differential equation \[ \frac{1}{h(t)} (h(t)y'(t))'= g(t)F(t,y(t))=0, \qquad 0<t<1 \] with Dirichlet or mixed boundary data is examined. Under suitable assumptions (see Theorem 1 and Theorem 2) the authors establish the existence of a solution. Although the results of the paper are new, the technique involved however is standard. The paper is well written and some nice examples are given at the end to illustrate the theory involved.

MSC:
34B15 Nonlinear boundary value problems for ordinary differential equations
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