On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition

DOI10.1515/gmj-2023-2122MaRDI QIDQ6620607

Tamaz Tadumadze, Tea Shavadze, A. Nachaoui

Publication date: 17 October 2024

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

perturbationsneutral functional-differential equationrepresentation of solutiondiscontinuous initial condition

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Existence theories in calculus of variations and optimal control (49J99) Perturbations of functional-differential equations (34K27)

Cites Work

• Differential-difference equations
• Formulas for the variation of a solution and optimal control problems for differential equations with retarded arguments
• Theory of functional differential equations. 2nd ed
• Principles of optimal control theory. Translated from Russian by Karol Makowski. Translation editor Leonard D. Berkovitz
• Delay optimization problem for one class of functional differential equation
• Time-lag control systems
• Local variation formulas of solutions for nonlinear controlled functional differential equations with constant delays and the discontinuous initial condition
• Necessary Conditions for Control Problems with Variable Time Lags
• Optimal Controls for Systems with Time Lag
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