The authors consider the boundary value problemUnder different combinations of superlinearity and sublinearity of the function f , various existence, multiplicity, and nonexistence results for positive solutions are derived in terms of different values of λ. The uniqueness of solutions and the dependence of solutions on the parameter λ are also studied. The results are illustrated with an example.
In this paper, the authors consider a nonlinear fractional boundary value problem defined on a star graph. By using a transformation, an equivalent system of fractional boundary value problems with mixed boundary conditions is obtained. Then the existence and uniqueness of solutions are investigated by fixed point theory.MSC 2010 : Primary 34B15; Secondary 34B45
In this work, the authors consider the boundary value problemand establish the existence of nonnegative solutions in the case where the associated Green's function may have zeros. The results are illustrated with an example.
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