Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/89766| 題名: | 混合單調法在中子運輸方程之研究 The method of mixed monotonoy on neutron transport equations |
作者: | 黃永欽 | 貢獻者: | 蔡隆義 黃永欽 |
日期: | 1991 | 上傳時間: | 2-May-2016 | 摘要: | 中文摘要 | 參考文獻: | References:\r\n\r\n[1] M. Altman, \"A unified theory of nonlinear operator and evolution equations with application.\" Marcel Dekker, INC. ( 1986)\r\n[2]G. Busoni, V. Capasso, and A. Beller-Morante, Global solution of a nonlinear neutron transport problem with temperature feedback. Nonlinear analysis, Theory, Method & Applications. Vol. 1, No 6, pp 651-665 (1977)\r\n[3] K. M. Case and P. F. Zweifel, \"Linear transport theory.\"Addison-Wesley. Reading, Mass, (1967)\r\n[4] G. S. Chen and A. W. Leung, Nonlinear reactor multigroup neutron transport system: Existence and stability problems.Sino-Japanese joint seminar on nonlinear partial differential equations. (1990)\r\n[5] G. A. o. Davies, (edited) \"Mathematical methods in engineering.\" John Wiley & Sons, Ltd. (1984)\r\n[6] L. Erbe and Xinzhi Liu, Monotone iterative methods for differential systems with finite delay. Appl. Math. Comput.43, pp 43-64. (1991)\r\n[7] A. Friedman, \"Partial differential equations of parabolic type.\" Prentice-Hall, Englewood Cliffs, New Jersey. (1964)\r\n[8] D. Gilbarg and N. S. Trundinge r , \"Elliptic partial differential equations of second order.\" Springer Verlag.(1983)\r\n[9] H. Hochstadt, \" Integal equations.\" John Wiley & Sons.(1976)\r\n[10] M. Khavanin, The method of mixed monotony for first order nonlinear integro-\r\ndifferential systems. Proceedings of The International Conference on Theory and Applications of Differential Equations. (1988)\r\n[11] M. Khavanin and V. Lakshmikantham, The method of mixed monotony and first order differential systems. Nonl. Anal.10, pp 873-877. (1986)\r\n[12] G. S. Ladde, V. Lakshmikantham and A. S. Vatsala,\"Monotone iterative techniques for nonlinear differential equations.\" Pitman, Boston (1985)\r\n[13] O. Ladyzhenskaya, V. Solonikov and N. Uralceva, \"Linear and quasilinear equations of parabolic type.\" A.M.S..Translation of Monograph 23, Providence, R. I. (1968)\r\n[14] V. Lakshmikantham and A. S. Vatsala, Method of mixed monotony for nonlinear equations with a singular linear part. Appl. Math. Comput. 23, pp 235-241. (1987)\r\n[15] A. W. Leung, \"Systems of nonlinear partial differential equations. Applicationa to biology and engineering.\" Kluwer Academic Publishers. (1989)\r\n[16] E. E. Lewis and W. F. Miller, Jr. \"Computation method of neutron transport.\" John Wiley k Sons. New York, (1984)\r\n[17] C. V. Pao, Asymptotic behavior of the solution for the time-dependent neutron transport problem. J. Integral equations. 1, pp 131-152. (1979)\r\n[18] C. V. Pao, Stability analysis of the neutron transport equation with temperature feedback. J. Math. Phys. Vol. 24 No.5 pp 1321-1325 (1983)\r\n[19] C. V. Pao, Comparison and stability of solutions for a neutron transport problem with temperature feedback. SIAM.J. Math. Anal. pp 167-184 (1983)\r\n[20] V. P. Politukov, A method of solving boundary value problems for nonlinear transport equations U.S.S.R. Comput.Maths Math. Phys. Vol 19, pp 135-148 (1979)\r\n[21] M. H. Protter and H. F. Weinberger, \"Maximum principles in differential equations.\" Springer Verlag. (1984)\r\n[22] D. H. Sattinger, Monotone methods in nonlinear elliptic and parabolic boudary value problem. Indiana Univeristy Math. J. Vol. 21, No. 11. (1972)\r\n[23] L. Y. Tsai & S. T. Wu, Existence of solutions for elliptic integra-differential systems, Math. Res. Center Reports,Symp. summer`90. (1990)\r\n[24] L. Y. Tsai, Existence of solutions for parabolic integro differential system, Sino-Japanese joint seminar on nonlinear partial differential equations. (1990)\r\n[25] V. S. Vladmimirov, \"Equations of mathematical physics.\"(A. Jeffery, editor; A. Littlewood translator). (1970) | 描述: | 碩士 國立政治大學 應用數學系 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#B2002005102 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| index.html | 115 B | HTML2 | View/Open |
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.