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초록· 키워드
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Two C^{1}-mappings, whose domain is a connected compact C^{1}-Banach
manifold modelled over a Banach space X over K= R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert they share only a value.
The proof of the result, which is based upon continuation methods, is constructive.
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참고문헌 (28)
참고문헌 신청
C. B. Garcia / 1979 / Determining all solutions to certain systems of nonlinear equations / Math. Oper. Res. 4 (1) : 1 ~ 14
C. B. Garc´ıa / 1980 / On the number of solutions to polynomial systems of equations / SIAM J. Numer. Anal. 17 (4) : 540 ~ 546
E. L. Allgower / 1981 / A survey of homotopy methods for smooth mappings, Numerical solution of nonlinear equations / Lecture Notes in Math. 878 : 1 ~ 29
E. L. Allgower / 1981 / Proceedings of the Conference on Numerical Solution of Nonlinear Equations / Lecture Notes in Math. 878
E. L. Allgower / 1990 / Numerical Continuation Methods, An introduction / Springer Series in Computational Mathematics 13
C. B. Garc´ıa / 1980 / On the number of solutions to polynomial systems of equations / SIAM J. Numer. Anal. 17 (4) : 540 ~ 546
E. L. Allgower / 1981 / A survey of homotopy methods for smooth mappings, Numerical solution of nonlinear equations / Lecture Notes in Math. 878 : 1 ~ 29
E. L. Allgower / 1981 / Proceedings of the Conference on Numerical Solution of Nonlinear Equations / Lecture Notes in Math. 878
E. L. Allgower / 1990 / Numerical Continuation Methods, An introduction / Springer Series in Computational Mathematics 13
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