Ordinary Differential Equations and Operators: A Tribute to F.V. Atkinson Proceedings of a Symposium held at Dundee, Scotland March – July 1982

Inversion in the unit sphere for powers of the Laplacian....Pages 1-8 Nonlinear second order boundary value problems: An existence-uniqueness theorem of S. N. Bernstein....Pages 9-16 A definiteness result for determinantal operators....Pages 17-30 On second-order left-definite boundary value problems....Pages 31-67 A von Neumann factorization of some selfadjoint extensions of positive symmetric differential operators and its application to inequalities....Pages 68-92 Inclusion theorems for solutions of differential equations with aid of pointwise or vector monotonicity....Pages 93-109 The liouville-green asymptotic theory for second-order differential equations: A new approach and some extensions....Pages 110-122 Non-self-adjoint operators and their essential spectra....Pages 123-160 A concept of adjointness and symmetry of differential expressions based on the generalised Lagrange identity and Green's formula....Pages 161-169 On quadratic integral inequalities associated with second-order symmetric differential expressions....Pages 170-223 Nonoscillation theorems for differential equations with general deviating arguments....Pages 224-239 Self-adjoint 4-th order boundary value problem in the limit - 4 case....Pages 240-256 Factorization and the Friedrichs extension for ordinary differential operators....Pages 257-266 Eigenvalue problems and the Riemann zeta function II....Pages 267-297 Boundedness criteria for hyperbolic characteristic initial value problems....Pages 298-310 Matrix riccati inequality and oscillation of second order differential systems....Pages 311-327 A new approach to second order linear oscillation theory....Pages 328-345 Small amplitude limit cycles of polynomial differential equations....Pages 346-357 Regular growth and zero-tending solutions....Pages 358-374 Asymptotic distribution of the eigenvalues of non-definite Sturm-Liouville problems....Pages 375-383 Some remarks on the order of an entire function associated with a second order differential equation....Pages 384-389 Steepest descent for general systems of linear differential equations in Hilbert space....Pages 390-406 On the spectral theory of some nonsymmetric second order differential operators....Pages 407-426 The Cauchy and backward-Cauchy problem for a nonlinearly hyperelastic/viscoelastic infinite rod....Pages 427-448 Floquet theory for doubly-periodic differential equations and a number theory conjecture....Pages 449-501 Poincaré's type of equations in the study of limit cycles....Pages 502-508 Das Gesetz von Maxwell-Clausius in der phaenomenologischen Thermodynamik....Pages 509-521