Generalizing variational theory to include the indefinite integral, higher derivatives, and a variety of means as cost variables

DOI10.4310/MAA.2008.v15.n4.a2zbMath1178.49024MaRDI QIDQ1043662

J. Blot

Publication date: 9 December 2009

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.maa/1254492827

zbMATH Keywords

double indefinite integralsgeneralized variational theorynew dependent variables

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control problems for functional-differential equations (34K35) Optimality conditions for problems involving ordinary differential equations (49K15)

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A generalized fractional variational problem depending on indefinite integrals: Euler–Lagrange equation and numerical solution ⋮ Generalizing the variational theory on time scales to include the delta indefinite integral ⋮ Fractional variational problems depending on indefinite integrals ⋮ Fractional variational problems depending on indefinite integrals and with delay

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