On the Control of a Linear Functional-Differential Equation with Quadratic Cost

Harold J. Kushner; Daniel I. Barnea

doi:10.1137/0308019

On the Control of a Linear Functional-Differential Equation with Quadratic Cost

SIAM Journal on Control ◽

10.1137/0308019 ◽

1970 ◽

Vol 8 (2) ◽

pp. 257-272 ◽

Cited By ~ 51

Author(s):

Harold J. Kushner ◽

Daniel I. Barnea

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Linear Functional ◽

Quadratic Cost ◽

Linear Functional Differential Equation ◽

Functional Differential

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A note on the convergence of the solutions of a linear functional differential equation

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(90)90427-h ◽

1990 ◽

Vol 145 (1) ◽

pp. 17-25 ◽

Cited By ~ 8

Author(s):

T Krisztin

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Linear Functional ◽

Linear Functional Differential Equation ◽

Functional Differential

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POISSON PROBLEM FOR A LINEAR FUNCTIONAL DIFFERENTIAL EQUATION

Tambov University Reports Series Natural and Technical Sciences ◽

10.20310/1810-0198-2016-21-1-76-81 ◽

2016 ◽

Vol 21 (1) ◽

pp. 76-81

Author(s):

S.M. Labovskiy ◽

◽

M.F. Getimane ◽

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Linear Functional ◽

Poisson Problem ◽

Linear Functional Differential Equation ◽

Functional Differential

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On the asymptotic properties of the solutions of a linear functional-differential equation of neutral type with constant coefficients and linearly transformed argument

Journal of Mathematical Sciences ◽

10.1007/s10958-013-1535-y ◽

2013 ◽

Vol 194 (4) ◽

pp. 374-403 ◽

Cited By ~ 1

Author(s):

G. P. Pelyukh ◽

D.V. Bel’skii

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Linear Functional ◽

Asymptotic Properties ◽

Neutral Type ◽

Constant Coefficients ◽

Linear Functional Differential Equation ◽

Functional Differential ◽

Equation Of Neutral Type

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On the uniform stability of a perturbed linear functional differential equation

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1968-0227574-x ◽

1968 ◽

Vol 19 (3) ◽

pp. 528-528 ◽

Cited By ~ 2

Author(s):

Nelson Onuchic

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Linear Functional ◽

Uniform Stability ◽

Linear Functional Differential Equation ◽

Functional Differential

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The adjoint of a linear functional differential equation and boundary value problems

Journal of Differential Equations ◽

10.1016/0022-0396(70)90153-1 ◽

1970 ◽

Vol 9 (1) ◽

pp. 55-66 ◽

Cited By ~ 21

Author(s):

Daniel Henry

Keyword(s):

Differential Equation ◽

Boundary Value Problems ◽

Functional Differential Equation ◽

Linear Functional ◽

Boundary Value ◽

Linear Functional Differential Equation ◽

Functional Differential

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On the dimension of the solution set to the homogeneous linear functional differential equation of the first order

Czechoslovak Mathematical Journal ◽

10.1007/s10587-012-0062-1 ◽

2012 ◽

Vol 62 (4) ◽

pp. 1033-1053 ◽

Cited By ~ 3

Author(s):

Alexander Domoshnitsky ◽

Robert Hakl ◽

Bedřich Půža

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Linear Functional ◽

Solution Set ◽

First Order ◽

Linear Functional Differential Equation ◽

Functional Differential ◽

Homogeneous Linear

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Growth properties of the solutions of a linear functional differential equation

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(88)90012-1 ◽

1988 ◽

Vol 134 (1) ◽

pp. 125-128

Author(s):

Jacques Bélair ◽

André Giroux

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Linear Functional ◽

Growth Properties ◽

Linear Functional Differential Equation ◽

Functional Differential

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Asymptotics of the fundamental system of solutions of a linear functional-differential equation with respect to a parameter

Ukrainian Mathematical Journal ◽

10.1007/bf01058784 ◽

1995 ◽

Vol 47 (6) ◽

pp. 936-962 ◽

Cited By ~ 3

Author(s):

G. V. Radzievskii

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Linear Functional ◽

Fundamental System ◽

Linear Functional Differential Equation ◽

Functional Differential

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Stability for a Linear Functional Differential Equation with Infinite Delay

Lecture Notes in Economics and Mathematical Systems - Dynamical Systems ◽

10.1007/978-3-662-00748-8_5 ◽

1987 ◽

pp. 50-54

Author(s):

J. Milota

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Linear Functional ◽

Infinite Delay ◽

Linear Functional Differential Equation ◽

Functional Differential

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ON POSITIVITY OF THE GREEN FUNCTION FOR POISSON PROBLEM FOR A LINEAR FUNCTIONAL DIFFERENTIAL EQUATION

Tambov University Reports Series Natural and Technical Sciences ◽

10.20310/1810-0198-2017-22-6-1229-1234 ◽

2017 ◽

Vol 22 (6-1) ◽

pp. 1229-1234

Author(s):

S.M. Labovskiy ◽

Keyword(s):

Differential Equation ◽

Green Function ◽

Functional Differential Equation ◽

Linear Functional ◽

Poisson Problem ◽

Linear Functional Differential Equation ◽

Functional Differential ◽

The Green Function

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