Variation formulas for solution of a nonlinear differential equation with time delay and mixed initial condition

DOI10.1007/S10958-008-0008-1zbMath1180.35539OpenAlexW1980273065WikidataQ115382485 ScholiaQ115382485MaRDI QIDQ2654114

G. L. Kharatishvili, Tamaz Tadumadze

Publication date: 15 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-0008-1

zbMATH Keywords

mixed initial condition

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational inequalities (49J40) Partial functional-differential equations (35R10) Theoretical approximation in context of PDEs (35A35) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

Optimal control with delays and mixed initial condition ⋮ Formulas of variation for solutions for some classes of functional differential equations and their applications ⋮ Variation formulas for the solution of delay differential equations with mixed initial conditions and delay perturbations

Cites Work

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• Formulas for the variation of the solution of a differential equation with retarded arguments and with a continuous initial condition
• On Some Extremal Problems in the Theory of Differential Equations with Applications to the Theory of Optimal Control
• On the Rate of Convergence in the Limit Theorem for Quadratic Forms
• Variation formulae for the solutions of delay differential equations with discontinuous initial conditions

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