1 |
P. Grisvard, Singularities in Boundary Value Problems, Masson, Paris, Springer-Verlag, Berlin, 1992.
|
2 |
S. Gutman, J. Ha, and S. Lee, Parameter identification for weakly damped shallow arches, J. Math. Anal. Appl. 403 (2013), no. 1, 297-313.
DOI
|
3 |
J. Ha, S. Gutman, S. Shon, and S. Lee, Stability of shallow arches under constant load, Internat. J. Non-Linear Mechanics 58 (2014), 120-127.
DOI
|
4 |
N. J. Hoff and V. G. Bruce, Dynamic analysis of the buckling of laterally loaded flat arches, J. Math Phys. 32 (1954), 276-288.
|
5 |
J. L. Lions and E. Magenes, Nonhomogeneous Boundary Value Problems nd Applications, Springer, 1972.
|
6 |
R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, in: Applied Mathematical Sciences, Vol 68, Springer-Verlag, 1997.
|
7 |
J. M. Ball, Stability theory for an extensible beam, J. Differential Equations 14 (1973), 399-418.
DOI
|
8 |
J. S. Chen and Y. T. Li, Effects of elastic foundation on the snap-through buckling of a shallow arch under a moving point load, Internat. J. Solids Structures 43 (2006), 4220-4237.
DOI
|
9 |
M. C. Cheung, The static and dynamic stability of clamped shallow circular arche, the Degree of Doctor of Philosophy, California Institute of Technology, 1969.
|
10 |
E. Emmrich and M. Thalhammer, A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: existence via time discretization, Nonlinearity 24 (2011), no. 9, 2523-2546.
DOI
|
11 |
J. S. George, The Shallow Arch, Springer Book, 117-153, Dynamic Stability of Suddenly Loaded Structures, 1990.
|