On Existence Of Positive Solutions Of A Non- Linear Three-point Boundary-value Problem
Mathematics Project Topics
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This paper is highly dependent on the work of Ruyun Ma and it stabilizesrnsome conditions for the existence of positive solutions to the boundary valuernproblemrnu00 + a(t)f(u) = 0; t 2 (0; 1)rnu(0) = 0; u( ) = u(1);rnwhere 0 < < 1 and 0 < < 1rn . We show the existence of at least onernpositive solution if f is either superlinear or sublinear by applying the xedrnpoint theorem in cones.
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