Ordinary and Partial Differential Equations : Proceedings of the Seventh Conference Held at Dundee, Scotland, March 29 - April 2, 1982

On the asymptotic behaviour of the Titchmarsh-Weyl m-coefficient and the spectral function for scalar second-order differential expressions....Pages 1-27 Some limit circle eigenvalue problems and asymptotic formulae for eigenvalues....Pages 28-55 Integral inequalities and exponential convergence of solutions of differential equations with bounded delay....Pages 56-68 Bifurcation of periodic travelling waves for a reaction-diffusion system....Pages 69-76 The Dirac equation with an anomalous magnetic moment II....Pages 77-85 Periodic solutions of a class of Hamiltonian systems....Pages 86-94 Multiparameter problems: The last decade....Pages 95-109 An approach to the dirichlet index for operators satisfying minimal conditions....Pages 110-117 Nonlinear neutral functional differential equations in product spaces....Pages 118-134 A connection formula for the Second Painlevé Transcendent....Pages 135-142 The inverse scattering problem for acoustic waves....Pages 143-161 On the Hukuhara-Kneser property for some cauchy problems in locally convex topological vector spaces....Pages 162-170 Essential self-adjointness and self-adjointness for Generalized Schrödinger Operators....Pages 171-178 Asymptotic theory for a critical class of fourth-order differential equations....Pages 179-186 Oscillation and nonoscillation theorems for some non-linear ordinary differential equations....Pages 187-212 Entropy numbers, s-numbers and eigenvalues....Pages 213-231 The singular perturbation approach to flame theory with chain and competing reactions....Pages 232-250 On the singular values of non-self-adjoint operators of Schrödinger type....Pages 251-262 Optimal control of systems governed by elliptic operator of infinite order....Pages 263-271 Comparison principles for some fourth order elliptic problems....Pages 272-279 Weak solutions of integrodifferential equations and applications....Pages 280-297 Titchmarsh's λ-dependent boundary conditions for Hamiltonian systems....Pages 298-317 Exterior boundary value problems for perturbed equations of elliptic type....Pages 318-325 Linear transport theory and an indefinite Sturm-Liouville problem....Pages 326-361 Non-normalizable eigenfunction expansions for ordinary differential operators....Pages 362-367 Some aspects and recent developments in linear control theory....Pages 368-387 Eigenvalue problems and the Riemann zeta-function....Pages 388-405 Superposition principles and pointwise evaluation of Sturm-Liouville eigenfunction expansions....Pages 406-415 Qualitative theory of hyperbolic characteristic initial value problems....Pages 416-421 Applications of a comparison theorem for quasi-accretive operators in a hilbert space....Pages 422-434 A singular sixth order differential equation with orthogonal polynomial eigenfunctions....Pages 435-444 On the asymptotics of some volterra equations with locally finite measures and large perturbations....Pages 445-457 Periodic oscillations of forced pendulum-like equations....Pages 458-476 A simple layer potential method for three-dimensional eddy current problems....Pages 477-484 Index laws for some ordinary differential operators....Pages 485-493 Converse initial value problems for a class of heat equations....Pages 494-502 Higher order inverse eigenvalue problems....Pages 503-518 Indefinite Sturm-Liouville problems....Pages 519-528 The infinitesimal generator of a stochastic functional differential equation....Pages 529-538 On solutions to the initial-boundary problem for perturbed porous medium equation....Pages 539-547 A survey of global properties of linear differential equations of the n-th order....Pages 548-563 Strongly nonlinear evolution variational inequalities....Pages 564-568 A further result on the essential spectrum of linear 2nth order differential expressions with complex coefficients....Pages 569-575 On error bounds for nonstationary spectral Navier-Stokes approximations....Pages 576-583 Sectorial second order differential operators....Pages 584-590 Spectral mapping theorems for dissipative C 0 -semigroup generators....Pages 591-597 Some preliminary results on periodic solutions of matrix riccati equations....Pages 598-602 Solitary and travelling waves in a rod....Pages 603-608 Investigations in the theory of partial differential equations of infinite order....Pages 609-613 Well-posed boundary problems for hamiltonian systems of limit point or limit circle type....Pages 614-631 On uniform asymptotic expansion of a class of integral transforms....Pages 632-641 On a new numerical method for a new class of nonlinear partial differential equations arising in nonspherical geometrical optics....Pages 642-651 Local existence theorems for ordinary differential equations of fractional order....Pages 652-665 Application of the theorem of connectivity of M 7 in astronomy....Pages 666-674 Perturbations of periodic boundary conditions....Pages 675-685 Bifurcation problems with triangular symmetry....Pages 686-694 On the foundations of thermodynamics....Pages 695-702 On some conjectures on the deficiency index for symmetric differential operators....Pages 703-709 On a second-order differential expression and its Dirichlet integral....Pages 710-717 An inverse eigenvalue problem for the Laplace operator....Pages 718-726