[1] |
Allgower E L.A Survey of Homotopy Methods for Smooth Mappings[M].Allgower,Glashoff,Peitgen Eds,Berlin:Springer-Verlag,1981,2—29.[JP2]. Allgower E,Glashoff K,Peitgen H.Proceedings of the Conference on Numerical Solution of Nonlinear Equations[C].Bremen, July 1980.Lecture Notes in Math[M].878.Berlin:Springer-Verlag,1981.
|
[3] |
Allgower E L,Georg K.Numerical Continuation Methods[M].Springer Series in Computational Mathematics 13,New York:Springer-Verlag,1990.
|
[4] |
Alexander J C,York J A.Homotopy continuation method: numerically implementable topological procedures[J].Trans Amer Math Soc,1978,242:271—284. doi: 10.1090/S0002-9947-1978-0478138-5
|
[5] |
Bernstein S,Sur la généralisation du problème de Dirichlet I[J].Math Anal,1906,62:253—278. doi: 10.1007/BF01449980
|
[6] |
Bernstein S.Sur la généralisation du problème de Dirichlet Ⅱ[J].Math Anal,1910,69:82—136. doi: 10.1007/BF01455154
|
[7] |
Garcia C B,Li T Y.On the Number of solutions to polynomial systems of non-linear equations[J].SIAM J Numer Anal,1980,17:540—546. doi: 10.1137/0717046
|
[8] |
Garcia C B,Zangwill W I.Determining all solutions to certain systems of non-linear equations[J].Math Oper Res,1979,4:1—14. doi: 10.1287/moor.4.1.1
|
[9] |
Leray L,Shauder J.Topologie et equations fonctionalles[J].Ann Sci Ecole Norm Sup,1934,51:45—78.
|
[10] |
Soriano J M.Existence of zeros for bounded perturbations of proper mappings[J].Appl Math Comput,1999,99:255—259. doi: 10.1016/S0096-3003(97)10183-7
|
[11] |
Soriano J M.Global minimum point of a convex function[J].Appl Math Comput,1993,55(2/3):213—218. doi: 10.1016/0096-3003(93)90022-7
|
[12] |
Soriano J M.Extremum points of a convex function[J].Appl Math Comput,1994,80:1—6.
|
[13] |
Soriano J M.On the existence of zero points[J].Appl Math Comput,1996,79:99—104. doi: 10.1016/0096-3003(95)00246-4
|
[14] |
Soriano J M.On the number of zeros of a mapping[J].Appl Math Comput,1997,88:287—291. doi: 10.1016/S0096-3003(96)00336-0
|
[15] |
Soriano J M.On the Bezout theorem real case[J].Comm Appl Nonlinear Anal,1995,2(4):59—66.
|
[16] |
Soriano J M.On the Bezout theorem[J].Comm Appl Ninlinear Anal,1997,4(2):59—66.
|
[17] |
Soriano J M.Mappings sharing a value on finite-dimensional spaces[J].Appl Math Comput,2000,121(2/3):391—395.
|
[18] |
Soriano J M.Compact mappings and proper mappings between Banach spaces that share a value[J].Math Balkanica,2000,14(1/2):161—166.
|
[19] |
Soriano J M.Zeros of compact perturbations of proper mappings[J].Comm Appl Nonlinear Anal,2000,7(4):31—37.
|
[20] |
Soriano J M.A compactness condition[J].Appl Math Comput,2001,124(3):397—402. doi: 10.1016/S0096-3003(00)00114-4
|
[21] |
Soriano J M.Open trajectories[J].Appl Math Comput,2001,124(2):235—240. doi: 10.1016/S0096-3003(00)00092-8
|
[22] |
Soriano J M.On the existence of zero points of a continuous function[J].Acta Math Sci,2002,22(2):171—177.
|
[23] |
索里阿诺 J M.具公共值Fredholm紧映射[J].应用数学和力学,,2001,22(6):609—612.
|
[24] |
Soriano J M,Angelov V G.A zero of a proper mapping[J].Fixed Point Theory,2003,4(1):97—104.
|
[25] |
Zeidler E.Nonlinear Functional Analysis and Its Applications Ⅳ[M].New York:Springer-Verlag,1995.
|
[26] |
Smale S.An infinite-dimensional version of Sard's theorem[J].Amer J Math,1965,87:861—866. doi: 10.2307/2373250
|
[27] |
Zeidler E.Nonlinear Functional Analysis and Its Applications Ⅰ[M].New York:Springer-Verlag,1985.
|
[28] |
Cartan H.Differential Calculus[M].Barcelona:Omega,1978.
|
[29] |
Dieudonné J.Fundamentals of Modern Analysis[M].Barcelona:Reverté,1966.
|