참고문헌
- F. E. Browder, Variational methods for nonlinear elliptic eigenvalue problems, Bull. Amer. Math. Soc. 71 (1965), 176-183 https://doi.org/10.1090/S0002-9904-1965-11275-7
- D. A. Dadeppo, Nonlinear analysis of buckling and postbuckling behavior of circular arches, J. Appl. Math. and Phys. 20 (1969), 847-857 https://doi.org/10.1007/BF01592295
- R. W. Dickey and P. Broughton, Stability criteria for shallow arches, J. Engineering Mechanics Division ASCE 97 (EM3), 1971
- M. Miklavcic, Applied functional analysis and partial differential equations, World Scientific Publishing Co., 1998
- G. J. Simitses, Elastic stability of structures, Prentice-Hall, New Jersey, 1976
- I. Tadjbakhsh and F. Odeh, Equilibrium states of elastic rings, J. Math. Anal. Appl. 18 (1967), 59-74 https://doi.org/10.1016/0022-247X(67)90182-5
- S. P. Timoshenko and J. M. Gere, Theory of elastic stability, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1961
- E. Zeidler, Applied functional analysis: Main principal and their applications, Applied Mathematical Sciences, 109, Springer-Verlag, New York, 1995