Geodesic
Variational problems with free ends on bounded and unbounded intervals
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 12, Tome 181 (1988), pp. 137-146.

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@article{TM_1988_181_a7,
     author = {L. D. Kudryavtsev},
     title = {Variational problems with free ends on bounded and unbounded intervals},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {137--146},
     publisher = {mathdoc},
     volume = {181},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1988_181_a7/}
}
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L. D. Kudryavtsev. Variational problems with free ends on bounded and unbounded intervals. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 12, Tome 181 (1988), pp. 137-146. http://geodesic.mathdoc.fr/item/TM_1988_181_a7/