## Ordinary and Partial Differential Equations: Proceedings of the Sixth Conference Held at Dundee, Scotland, March 31 - April 4, 1980 |

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appear application approximation associated assume assumptions Banach space bifurcation boundary conditions boundary value problem bounded called coefficients compact complex computation consider constant continuous convergence coordinates corresponding defined Definition denotes dependent derivatives determined differential equations differential operators Edited eigenvalue elliptic error essential estimate example exists expression extension finite fixed formally function given gives Hence holds inequality initial integral equations interval introduced invariant known Lemma linear mapping Math Mathematics matrix means method nonlinear obtain ordinary parameter partial positive possible Proc Proceedings proof properties prove reduced refer relation Remark respectively satisfies selfadjoint separable similar singular solution solve space spectral spectrum Suppose symmetry Theorem theory tion transformation unique University variables vector wave zero