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Positive solutions of boundary value problems with nonlinear nonlocal boundary conditions

Padhi S., Pati S., Hota D. K.

Opuscula Mathematica

2016

Vol. 36, no. 1

69--79

We consider the existence of at least three positive solutions of a nonlinear first order problem with a nonlinear nonlocal boundary condition given by [formula] where r : [0,1] → [0, ∞) is continuous; the nonlocal points satisfy [formula] the nonlinear function ƒi and [formula] are continuous mappings from [0,1] x [0,∞) → [0,∞) for i = 1,2,... ,m and j = 1, 2,. .. , n respectively, and λ > 0 is a positive parameter.