Differential-integral Euler-Lagrange equations

DOI10.22067/ijnao.2024.86104.1367MaRDI QIDQ6599674

Mohammed Shehata

Publication date: 6 September 2024

Published in: Iranian Journal of Numerical Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

calculus of variationsEuler-Lagrange equationoptimal control problemsdifferential-integral equationRLC electrical circuit

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

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• On the optimal control of systems governed by nonlinear Volterra equations
• The calculus of variations
• A reduction method for optimal control of Volterra integral equations
• Introduction to the Calculus of Variations
• Optimal Control with Integral State Equations
• On the well‐posedness of a Volterra equation with applications in the Navier‐Stokes problem
• Necessary Conditions for a Weak Minimum in Optimal Control Problems with Integral Equations Subject to State and Mixed Constraints

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