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A variational problem and optimal control
1. | Chung Yuan Christian University, Chung Li, Taiwan, Taiwan |
2. | National Tsing Hua University, Hsinchu, Taiwan |
References:
[1] |
G. P. Akilov and L. V. Kantorovich, "Functional Analysis,", 2nd edition, (1982).
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[2] |
H. C. Lai, Duality of Banach function spaces and Radon Nikodym property,, Acta Mathematics Hungarica, 47 (1986), 45.
doi: 10.1007/BF01949123. |
[3] |
H. C. Lai and J. W. Chen, On the generalized Euler-Lagrange equations,, Journal of Mathematical Analysis and Applications, 213 (1997), 681.
|
[4] |
H. C. Lai and J. C. Lee, Convergent Theorems and $L$$p$-selections for Banach-valued multifunctions,, Nihonkai Math. Journal, 4 (1993), 163.
|
[5] |
H. C. Lai and J. C. Lee, Integration Theory for Banach-valued multifunctions,, Indian Journal of Mathematics, 34 (1992), 265.
|
[6] |
H. C. Lai and J. C. Lee, Integral representations and convergences for Banach-valued multifunctions,, Fixed Point Theory and Applications (Halifax, (1992), 169.
|
[7] |
H. C. Lai and L. J. Lin, The Fenchel-Moreau theorem for set functions,, Proceedings of the American Mathematics Society, 103 (1988), 85.
doi: 10.1090/S0002-9939-1988-0938649-4. |
[8] |
C. Olech, Existence theorem in optimal control problems involving multiple integrals,, Journal of Differential Equations, 6 (1969), 512.
doi: 10.1016/0022-0396(69)90007-2. |
[9] |
J. P. Raymond, Existence theorems in optimal control problems without convexity assumptions,, Journal of Optimization Theory and Applications, 67 (1990), 109.
doi: 10.1007/BF00939738. |
[10] |
R. T. Rockafellar, Existence theorems for general control problems of Bolza and Lagrange,, Advances in Mathematics, 15 (1975), 312.
doi: 10.1016/0001-8708(75)90140-1. |
show all references
References:
[1] |
G. P. Akilov and L. V. Kantorovich, "Functional Analysis,", 2nd edition, (1982).
|
[2] |
H. C. Lai, Duality of Banach function spaces and Radon Nikodym property,, Acta Mathematics Hungarica, 47 (1986), 45.
doi: 10.1007/BF01949123. |
[3] |
H. C. Lai and J. W. Chen, On the generalized Euler-Lagrange equations,, Journal of Mathematical Analysis and Applications, 213 (1997), 681.
|
[4] |
H. C. Lai and J. C. Lee, Convergent Theorems and $L$$p$-selections for Banach-valued multifunctions,, Nihonkai Math. Journal, 4 (1993), 163.
|
[5] |
H. C. Lai and J. C. Lee, Integration Theory for Banach-valued multifunctions,, Indian Journal of Mathematics, 34 (1992), 265.
|
[6] |
H. C. Lai and J. C. Lee, Integral representations and convergences for Banach-valued multifunctions,, Fixed Point Theory and Applications (Halifax, (1992), 169.
|
[7] |
H. C. Lai and L. J. Lin, The Fenchel-Moreau theorem for set functions,, Proceedings of the American Mathematics Society, 103 (1988), 85.
doi: 10.1090/S0002-9939-1988-0938649-4. |
[8] |
C. Olech, Existence theorem in optimal control problems involving multiple integrals,, Journal of Differential Equations, 6 (1969), 512.
doi: 10.1016/0022-0396(69)90007-2. |
[9] |
J. P. Raymond, Existence theorems in optimal control problems without convexity assumptions,, Journal of Optimization Theory and Applications, 67 (1990), 109.
doi: 10.1007/BF00939738. |
[10] |
R. T. Rockafellar, Existence theorems for general control problems of Bolza and Lagrange,, Advances in Mathematics, 15 (1975), 312.
doi: 10.1016/0001-8708(75)90140-1. |
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