Positive and spurious solutions of nonlinear eigenvalue problems

[1]  L. Collatz.  The numerical treatment of differential equations , 1961 .

[2]  H. Keller,et al.  Analysis of Numerical Methods , 1969 .

[3]  M. Crandall,et al.  Bifurcation from simple eigenvalues , 1971 .

[4]  P. Rabinowitz.  Some aspects of nonlinear eigenvalue problems , 1973 .

[5]  R. Gaines,et al.  DIFFERENCE EQUATIONS ASSOCIATED WITH BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS , 1974 .

[6]  C. Stuart.  Concave solutions of singular non-linear differential equations , 1974 .

[7]  E. L. Allgower.  On a Discretization of y ″ + λ y k = 0 , 1975 .

[8]  R. O'Malley.  Phase-plane solutions to some singular perturbation problems , 1976 .

[9]  D. Gilbarg,et al.  Elliptic Partial Differential Equa-tions of Second Order , 1977 .

[10]  J. Schröder.  M-Matrices and Generalizations Using an Operator Theory Approach , 1978 .

[11]  K. J. Brown,et al.  On the Existence of Positive Solutions for a Class of Semilinear Elliptic Boundary Value Problems , 1979 .

[12]  E. Bohl,et al.  On the bifurcation diagram of discrete analogues for ordinary bifurcation problems , 1979 .

[13]  M. Prüfer,et al.  The Leray-Schauder continuation method is a constructive element in the numerical study of nonlinear eigenvalue and bifurcation problems , 1979 .

[14]  H. Peitgen,et al.  Topological Perturbations in the Numerical Study of Nonlinear Eigenvalue and Bifurcation Problems , 1980 .

[15]  A. Ambrosetti,et al.  Positive solutions of asymptotically linear elliptic eigenvalue problems , 1980 .

[16]  S. M. Robinson.  Analysis and computation of fixed points , 1980 .

[17]  Wolf-Jürgen Beyn,et al.  Stability and Multiplicity of Solutions to Discretizations of Nonlinear Ordinary Differential Equations , 1981 .

[18]  H. Peitgen,et al.  Nonlinear elliptic boundary value problems versus their finite difference approximations: numerically irrelevant solutions. , 1981 .

[19]  G. R. Shubin,et al.  Multiple Solutions and Bifurcation of Finite Difference Approximations to Some Steady Problems of Fluid Dynamics , 1981 .