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

ISBN-13: 9783540127024 / Angielski / Miękka / 1983 / 524 str.

W. N. Everitt; R. T. Lewis

Spis treści

Inversion in the unit sphere for powers of the Laplacian.- Nonlinear second order boundary value problems: An existence-uniqueness theorem of S. N. Bernstein.- A definiteness result for determinantal operators.- On second-order left-definite boundary value problems.- A von Neumann factorization of some selfadjoint extensions of positive symmetric differential operators and its application to inequalities.- Inclusion theorems for solutions of differential equations with aid of pointwise or vector monotonicity.- The liouville-green asymptotic theory for second-order differential equations: A new approach and some extensions.- Non-self-adjoint operators and their essential spectra.- A concept of adjointness and symmetry of differential expressions based on the generalised Lagrange identity and Green's formula.- On quadratic integral inequalities associated with second-order symmetric differential expressions.- Nonoscillation theorems for differential equations with general deviating arguments.- Self-adjoint 4-th order boundary value problem in the limit - 4 case.- Factorization and the Friedrichs extension for ordinary differential operators.- Eigenvalue problems and the Riemann zeta function II.- Boundedness criteria for hyperbolic characteristic initial value problems.- Matrix riccati inequality and oscillation of second order differential systems.- A new approach to second order linear oscillation theory.- Small amplitude limit cycles of polynomial differential equations.- Regular growth and zero-tending solutions.- Asymptotic distribution of the eigenvalues of non-definite Sturm-Liouville problems.- Some remarks on the order of an entire function associated with a second order differential equation.- Steepest descent for general systems of linear differential equations in Hilbert space.- On the spectral theory of some nonsymmetric second order differential operators.- The Cauchy and backward-Cauchy problem for a nonlinearly hyperelastic/viscoelastic infinite rod.- Floquet theory for doubly-periodic differential equations and a number theory conjecture.- Poincaré's type of equations in the study of limit cycles.- Das Gesetz von Maxwell-Clausius in der phaenomenologischen Thermodynamik.