Calculus of Variations on Time Scales with Nabla Derivatives
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🧮 math.OC
math.CA
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scalestimecalculusderivativesnablavariationsconditiondone
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We prove a necessary optimality condition of Euler-Lagrange type for variational problems on time scales involving nabla derivatives of higher-order. The proof is done using a new and more general fundamental lemma of the calculus of variations on time scales.
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