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

Calvin D. Ahlbrandt, Don B. Hinton (auth.), W. N. Everitt, R. T. Lewis (eds.)9780387127026, 0-387-12702-X

Table of contents :
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