Ordinary and Partial Differential Equations : Proceedings of the Fourth Conference held at Dundee, Scotland, March 30 - April 2, 1976 (Lecture notes in mathematics ; 564)

The quenching problem for nonlinear parabolic differential equations.- On the calculus of variations and sequentially weakly continuous maps.- Bivariational bounds on ?g,?? for non-linear problems F?=O.- The spectral analysis of a stone regular differential operator.- Bifurcation diagrams.- Walsh's theorem for the heat equation.- A new statement of Wazewski's theorem and an example.- On the absence of square-integrable solutions of the Sturm-Liouville equation.- On limit-point and Dirichlet-type results for second-order differential expressions.- Spectral theory of the Wirtinger inequality.- Nonlinear evolution operators and delay equations.- A singular functional differential equation arising in an immunological model.- On linear partial integro differential equations with a small parameter.- Smoothness of the solution of a monotonic boundary value problem for a second order elliptic equation in a general convex domain.- On the method of strained coordinates.- Nonlinear diffusion equations in biology.- Discrete dissipative processes.- Integrating a differential equation with a weak* continuous vector field.- On asymptotic integration.- Existence globale des solutions de queliques problemes aux limites.- Singular perturbation problems for a class of singular partial differential equations.- On the limit-n classification of ordinary differential operators with positive coefficients.- On the non-convergence of successive approximations in the theory of ordinary differential equations.- Comments on nonlinear elasticity and stability.- A Mikusinski calculus for the bessel operator B?.- An oscillation theory for fourth order differential equations.- Pointwise error bounds for the eigenfunctions of one-dimensional Schrödinger operators.- Stability of shock waves.-Remarks on L2 solutions.- Regularly varying functions and differential equations.- Projection methods for linear and nonlinear systems of partial differential equations.- New results on strongly coupled systems of parabolic differential equations.- On a nonlinear diffusion equation arising in population genetics.- A generalization of the Flaschka-Leitman theorem.- Hilbert's projective metric applied to a class of positive operators.- A limit-point criterion for ?(py?)?+qy.- Nonsymmetric dirac distributions in scattering theory.- A maximum principle for a class of functionals in nonlinear dirichlet problems.- Global methods for the construction of convergent sequences of bounds for systems of ordinary initial value problems.- Bifurcation from a multiple eigenvalue.- Another approach to the Dirichlet problem for very strongly nonlinear elliptic equations.- Global estimates for non-linear wave equations and linear wave equations with non-linear boundary constraints.- Difference approximations for some pseudodifferential equations in Rn.- Remarks to Galerkin and least squares methods with finite elements for general elliptic problems.- Boundary-value problems with discontinuous non-linearities.- On an elliptic singular perturbation problem.- Über die Existenz von Lösungen der Differentialgleichung u?=f(u) in einer abgeschlossenen Menge, wenn f eine k-Mengenkontraktion ist.- Bemerkungen zur Verwendung der Pfaffschen Formen bei der Definition der absoluten Temperatur nach Carathéodory.- On the eigenvalues of linear autonomous differential delay equations.- An explicit St. Venant's principle in three-dimensional elasticity.- Trace class methods for scattering in a homogeneous electro-static field.- Eigenvalue problems for free vibrations of rectangular elasticplates with random inhomogeneities.- Limit point conditions for powers.- Addendum to "limit point conditions for powers".