Abstract
In this paper, using the optimal control method, we deal with the following boundary value problemy″ + f(x, y)=0,y(0)=c,y(1)=d, under new nonresonance conditions of the form −A ≤f /′ y (x, y) ≤ β(x) ≤ B, where A > 0. We obtain the existence and uniqueness of solutions of the BVP (1).
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Wang, H.Z., Li, Y. Existence and uniqueness of solutions to two point boundary value problems for ordinary differential equations. Z. angew. Math. Phys. 47, 373–384 (1996). https://doi.org/10.1007/BF00916644
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DOI: https://doi.org/10.1007/BF00916644