Distributed parameter systems governed by linear transport equations

References

• Arendt , W. 1987 . Israel J. Math. , 59 : 327
   Web of Science ®Google Scholar
• Belleni-Morante , A. 1970 . J. Math. Anal. Appl. , 30 : 353
   Web of Science ®Google Scholar
• Frosali , G. , van der Mee , C. and Protopopescu , V. 1988 . Math. Methods Appl. Sci. , 10 : 15
   Web of Science ®Google Scholar
• Greenberg , W. , van der Mee , C. and Protopopescu , V. 1987 . Boundary value problems in abstract kinetic theory , Birkhāuser Verlag .
   Google Scholar
• Greiner , G. 1984 . Math. Z. , 185 : 167
   Web of Science ®Google Scholar
• Jörgens , K. 1958 . Coram. Pure Appl. Math. , 11 : 219
   Web of Science ®Google Scholar
• Kaper , H. G. , Lekkerkerker , C. G. and Hejtmanic , J. 1982 . Spectral methods in transport theory , Birkhāuser Verlag .
   Google Scholar
• Zhifeng , Kuang . 1993 . Appl. Func. Anal. , 1 : 104
   Google Scholar
• Xuezhi , Li , Benzhong , Liang and Guangtian , Zhu . 1992 . Chinese Science Bulletin (Kexue Tongbao) , 37 : 1633 (in Chinese)
   Google Scholar
• Mika , J. , Stankiewicz , R. and Trombetti , T. 1969 . J. Math. Anal. Appl. , 25 : 149
   Web of Science ®Google Scholar
• Mokhtar-Kharroubi , M. 1992 . Eur. J. Mech., B/Fluids , 11 : 39
   Web of Science ®Google Scholar
• Nagel , R. , ed. 1986 . One-Parameter Semigroups of Positive Operators , 1184 Springer-Verlag . Lect. Notes in Math.
   Google Scholar
• Van Norton , R. 1962 . Comm. Pure Appl. Math. , 15 : 149
   Web of Science ®Google Scholar
• Paulling , J. 1983 . J. Integ. Equ. , 5 : 1
   Google Scholar
• Pazy , A. 1983 . Semigroups of Linear Operators and Applications to Partial Differential Equations , Springer-Verlag .
   Google Scholar
• Degong , Song . 1992 . Proc. of the 2nd China-Poland Symposium on Systems & Control , Edited by: Chen , Hanfu . 310 International Academic Publishers .
   Google Scholar
• Degong , Song . 1993 . Chinese Science Bulletin (Kexue Tongbao) , 38 : 1514
   Google Scholar
• Degong , Song . 1993 . Appl. Func. Anal. , 1 : 214
   Google Scholar
• Degong , Song . 1993 . J. Engineering Math. , 10 : 119 (in Chinese)
   Google Scholar
• Degong , Song . 1994 . J. Engineering Math. , 11 : 107 (in Chinese)
   Google Scholar
• Degong , Song . 1995 . Appl. Func. Anal. , 2 : 209
   Google Scholar
• Degong , Song . 1995 . J. Northwest Univ. (Natural Science Edition), Spec. Iss. , 25 : 249 (in Chinese)
   Google Scholar
• Degong , Song . “Spectral properties of strongly continuous semigroups generated by linear transport operators” . T. T. S. P. , to appear in this issue
   Google Scholar
• Degong , Song . 1995 . T. T. S. P. , 24 : 1385
   Google Scholar
• Degong , Song . 1996 . T. T. S. P. , 25 : 103
   Google Scholar
• Degong , Song . “Time dependent transport equation with continuous solutions (I): convergence of discrete ordinates approximation” (to appear in T. T. S. P.)
   Google Scholar
• Degong , Song . “Time dependent transport equation with continuous solutions (II): asymptotic behavior” (to appear in T. T. S. P.)
   Google Scholar
• Degong , Song . “Asymptotic behavior of the time dependent solution for neutron transport in a slab with generalized boundary conditions” (submitted)
   Google Scholar
• Degong , Song . “Spectral properties of transport equation with reentry boundary conditions” (submitted)
   Google Scholar
• Degong , Song . “Compactness of a class of operators in transport theory and its applications to distributed parameter control system of nuclear reactors” (to be submitted)
   Google Scholar
• Degong , Song , Weihua , Jiang , Miansen , Wang and Guangtian , Zhu . 1995 . “Optimal design of the cross section in nuclear reactors” (to appear in Acta Math. Sinica)
   Google Scholar
• Degong , Song , Jigen , Peng and Genke , Yang . 1995 . 29 J. Xi'an Jiaotong Univ. . (in Chinese)
   Google Scholar
• Degong , Song and Miansen , Wang . 1992 . J. Xi'an Jiaotong Univ. , 26 : 123 (in Chinese)
   Google Scholar
• Degong , Song and Miansen , Wang . 1993 . J. Xi'an Jiaotong Univ. , 27 : 105 (in Chinese)
   Google Scholar
• Degong , Song . 1990 . Miansen Wang and Guangtian Zhu, Sys. Sci. & Math. Scis. , 3 : 102
   Google Scholar
• Degong , Song , Miansen , Wang and Guangtian , Zhu . 1992 . Sys. Sci. & Math. Scis. , 5 : 97
   Google Scholar
• Degong , Song , Miansen , Wang and Guangtian , Zhu . 1992 . Chinese Science Bulletin (Kexue Tongbao) , 37 : 708
   Google Scholar
• Degong , Song , Miansen , Wang and Guangtian , Zhu . 1993 . Appl. Func. Anal. , 1 : 220
   Google Scholar
• Degong , Song , Miansen , Wang and Guangtian , Zhu . 1993 . T. T. S. P. , 22 : 709
   Google Scholar
• Degong , Song , Miansen , Wang and Guangtian , Zhu . 1994 . Mathematica Applicata , 7 : 169 (in Chinese)
   Google Scholar
• Degong , Song and Guangtian , Zhu . “Existence of the optimal design for nuclear reactors” . 94 Chinese Control Conference . Edited by: Huashu , Qin . pp. 994 Chinese Science and Technology Press . (in Chinese)
   Google Scholar
• Degong , Song and Guangtian , Zhu . “Classical time dependent solution for neutron transport in a slab with generalized boundary conditions” (submitted)
   Google Scholar
• Degong , Song and Guangtian , Zhu . “An improvement on Jorgens' asymptotic expansion theorem for transport equations” (submitted)
   Google Scholar
• Takac , P. 1985 . T. T. S. P. , 14 : 655
   Google Scholar
• Vidav , I. 1970 . J. Math. Anal. Appl. , 30 : 264
   Web of Science ®Google Scholar
• Voigt , J. 1980 . Mh. Math. , 90 : 153
   Web of Science ®Google Scholar
• Voigt , J. 1984 . Acta Appl. Math. , 2 : 311
   Web of Science ®Google Scholar
• Voigt , J. 1985 . J. Math. Anal. Appl. , 106 : 140
   Web of Science ®Google Scholar
• Haiyan , Wang , Mingzhu , Yang and Wenwei , Wang . 1989 . J. Southeast Univ. , 19 : 7 (in Chinese)
   Google Scholar
• Wang , Hui and Guangtian , Zhu . 1993 . Appl. Func. Anal. , 1 : 260
   Google Scholar
• Wang , Hui and Guangtian , Zhu . “On minimum norm control problems of nuclear reactor systems with time” (to appear)
   Google Scholar
• Lijie , Wang . 1992 . Proc. of the 2nd China-Poland Symposium on Systems & Control , Edited by: Hanfu , Chen . 276 International Academic Publishers .
   Google Scholar
• Runjie , Wang , Wang , Hui and Guangtian , Zhu . 1993 . Appl. Func. Anal. , 1 : 276
   Google Scholar
• Weis , L. W. 1988 . J. Math. Anal. Appl. , 129 : 6
   Web of Science ®Google Scholar
• Mingzhu , Yang , Dexing , Feng and Guangtian , Zhu . 1986 . T. T. S. P. , 15 : 503
   Google Scholar
• Xianwen , Zhang and Benzhong , Liang . “Discrete-ordinates approximation method for time dependent transport equations” (to appear)
   Google Scholar
• Xianwen , Zhang , Miansen , Wang and Guangtian , Zhu . 1994 . Mathematica Appli-cata , 7 : 465
   Google Scholar
• Xianwen , Zhang , Guangtian , Zhu and Miansen , Wang . 1994 . Acta Mathematica Sci-entia , 14 : 61 (in Chinese)
   Google Scholar