Invariance of functionals and related Euler–Lagrange equations
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DOI: 10.3103/s1066369x17020062
Abstract: We establish a connection between symmetries of functionals and symmetries of the corresponding Euler–Lagrange equations. A similar problem is investigated for equations with quasi-Bu-potential operators. read more here.
Keywords: invariance functionals; functionals related; lagrange equations; related euler ... See more keywords
B-Spline Solutions of General Euler-Lagrange Equations
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DOI: 10.3390/math7040365
Abstract: The Euler-Lagrange equations are useful for solving optimization problems in mechanics. In this paper, we study the B-spline solutions of the Euler-Lagrange equations associated with the general functionals. The existing conditions of B-spline solutions to… read more here.
Keywords: lagrange equations; euler lagrange; spline solutions; solutions general ... See more keywords