The classical problem of the calculus of variations is studied under the assumption that the integrand is a continuous function. A non-smooth variant of the classical du Bois-Reymond lemma is presented. Under suitable additional assumptions, a non-smooth version of the classical Euler equation is proved.
CITATION STYLE
Krastanov, M. I., & Ribarska, N. K. (2018). A Functional Analytic Approach to a Bolza Problem. In Lecture Notes in Economics and Mathematical Systems (Vol. 687, pp. 97–117). Springer Verlag. https://doi.org/10.1007/978-3-319-75169-6_6
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