書誌事項

Ordinary differential equations and operators : a tribute to F.V. Atkinson : proceedings of a symposium held at Dundee, Scotland, March-July, 1982

edited by W.N. Everitt and R.T. Lewis

(Lecture notes in mathematics, 1032)

Springer, 1983

  • : gw
  • : us

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注記

"Proceedings of the Symposium on Ordinary Differential Equations and Operators"--P. [iii]

Sponsored by the Mathematics Committee of the Science and Engineering Research Council

One paper in German

Includes bibliographical references

内容説明・目次

目次

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.- Poincare's type of equations in the study of limit cycles.- Das Gesetz von Maxwell-Clausius in der phaenomenologischen Thermodynamik.

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