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A Straightforward Sufficiency Proof for a Nonparametric Problem of Bolza in the Calculus of Variations
| Content Provider | MDPI |
|---|---|
| Author | Licea, Gerardo Sánchez |
| Copyright Year | 2022 |
| Description | We study a variable end-points calculus of variations problem of Bolza containing inequality and equality constraints. The proof of the principal theorem of the paper has a direct nature since it is independent of some classical sufficiency approaches invoking the Hamiltonian-Jacobi theory, Riccati equations, fields of extremals or the theory of conjugate points. In contrast, the algorithm employed to prove the principal theorem of the article is based on elementary tools of the real analysis. |
| Starting Page | 55 |
| e-ISSN | 20751680 |
| DOI | 10.3390/axioms11020055 |
| Journal | Axioms |
| Issue Number | 2 |
| Volume Number | 11 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-01-29 |
| Access Restriction | Open |
| Subject Keyword | Axioms Mathematical Social Sciences Calculus of Variations Nonparametric Problems Variable End-points Inequality and Equality Restrictions Sufficiency Strong Minima |
| Content Type | Text |
| Resource Type | Article |
