Ordinary and Partial Differential Equations: Proceedings of the Eighth Conference held at Dundee, Scotland, June 25-29, 1984

ISBN-13: 9783540156949 / Angielski / Miękka / 1985 / 358 str.

Brian D. Sleeman;Richard J. Jarvis

Opis

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Spis treści

A stability result for the solutions of a certain system of third-order differential equations.- A local existence theorem for the quasilinear wave equation with initial values of bounded variation.- Bifurcation problems associated with nonlinear wave propagation.- Conditions for a limit set to be a singleton.- A hydrodynamical model of the sea hare’s propulsive mechanism.- Periodic solutions of some second order nonlinear differential equations with periodic coefficients.- Wiener obstacles for the biharmonic operator.- Inverse methods for reflector imaging.- Travelling wave front solutions of a differential-difference equation arising in the modelling of myelinated nerve axon.- The non-parametric influence of light on mammalian circadian rhythms.- On bifurcation for nondifferentiable perturbations of selfadjoint operators.- On surfaces defined by ordinary differential equations: A new approach to Hilbert’s 16th problem.- Self-adjointness for general elliptic operators with Sobolev-type coefficients.- On a Nehari’s constant.- Asymptotics of eigenvalues for some "non-definite" elliptic problems.- Optimal control of a system governed by hyperbolic operator.- A global study of a hamiltonian system with multi turning points.- Some further results on oscillatory behavior of solutions of nth order delay differential equations.- A model for a myelinated nerve axon.- Spatial patterning of the spruce budworm in the presence of defoliation.- Vector models for infectious diseases.- Multi-dimensional reaction-convection-diffusion equations.- On periodic solutions of forced second order differential equations with a deviating argument.- The theory of quasi periodic motions.- Stability criteria for linear integro-differential equations.- A mechanical model for biological pattern formation: A nonlinear bifurcation analysis.- Almost surely non-linear solutions of stochastic linear delay equations.- Properties of the set of global solutions for the cauchy problems in a locally convex topological vector space.- Boundary value problems for forced nonlinear equations at resonance.- Periodic-solutions of prescribed period for hamiltonian systems.- Bursting oscillations in an excitable membrane model.- Semilinear second order evolution equations and regular boundary conditions.- Symmetry-breaking for semilinear elliptic equations.- On a boundary value problem associated with some difference-differential equations.- A-proper maps and bifurcation theory.- On the singularities and asymptotic expansions of singular sturm-liouville expansions.