For boundary value problems with multipoint boundary conditions and comments on their importance, we refer the reader to the papers and the references therein. Some examples are given in the area of elasticity and on the effects of soil settlement. Introductionīoundary value problems appear in a large field of sciences to describe physical, biological, and chemical phenomena and several practically important problems lead to multipoint boundary value problems. Pontryagin’s maximum principle is proved by using the variations of admissible control. First order increment formula for the functional is derived. Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixedĪdmissible control are obtained. Optimal control problem with multipoint boundary conditions is considered.
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May 2023
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