ON THE EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR SECOND ORDER DIFFERENTIAL EQUATIONS

Under suitable conditions on f (t, u), the boundary value problem (E) u"(t) + f (t, u(t)) = 0 in (0, 1), (BVP) (BC) au (0) fu'(0) = 0, (BC) Yu(1) + 6u'(1)0= has at least one positive solution. Moreover, we also apply this main result to establish several existence theorems of multiple positive solutions for some nonlinear (elliptic) differential equations.

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