Conference on the Theory of Ordinary and Partial Differential Equations : held in Dundee/Scotland, March 28-31, 1972 : [proceedings]

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Conference on the Theory of Ordinary and Partial Differential Equations : held in Dundee/Scotland, March 28-31, 1972 : [proceedings]

edited by W.N. Everitt and B.D. Sleeman

(Lecture notes in mathematics, 280)

Springer-Verlag, 1972

  • : Germany
  • : U.S.

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Includes bibliographies

Description and Table of Contents

Description

Proceedings

Table of Contents

Recessive solutions of linear differential equations with polynomial coefficients.- Approximation by functions of fewer variables.- Affine control processes.- Abstract unilateral problems.- Regularity for some degenerate differential operators.- Singular elliptic perturbations of vanishing first-order differential operators.- Perturbations of the dirac operator.- On optimal control problems with bounded state variables.- Quelques proprietes 'generiques' des systemes a commande.- Green's functions for pairs of formally selfadjoint ordinary differential operators.- Recent results in the theory of variational inequalities.- Singular perturbations of elliptic sesquilinear forms.- Some new aspects of the line method for parabolic differential equations.- On boundary value problems of generalized analytic functions.- Polynomial solutions of differential equations with Bi - Orthogonal properties.- Champs de vecteurs et regularite des solutions de certains problemes de dirichlet variationnels.- Symmetric relations on a Hilbert space.- Fixed-point theorems for Frechet spaces.- Boundary value problems involving the Thomas-Fermi equation.- The initial value problem for operators which can be factorized into a product of Klein-Gordon operators.- An oscillation theorem for linear systems with more than one degree of freedom.- Some existence results for nonlinear steklov problems.- The deficiency indices and spectrum associated with self-adjoint differential expressions having complex coefficients.- The generalized Ahlfors-Heins theorem in certain D-dimensional cones.- On a lower bound of a second-order, linear differential operator with an integrable-p coefficient.- Some dirichlet and separation results for certain differential expressions on finite intervals.- On certain parabolic differential equations and an equivalent variational problem.- Turning points in second-order elliptic singular perturbation problems.- Remarks on interpolation in spaces with weights.- Perturbed bifurcation and buckling of circular plates.- Oscillation properties of nonselfadjoint differential equations of even order.- On the non-autonomous van der pol equation with large parameter.- Global attraction and asymptotic equilibrium for nonlinear ordinary equations.- The functional-differential equation y?(x)=ay(?x)+by(x) and generalisations.- Multiple solutions of a singularly perturbed boundary value problem arising in chemical reactor theory.- A liapounov function for an automomous second-order ordinary differential equation.- Boundary values of holomorphic functions and the iterated wave equation.- Determination, a l'Aide d'index, des solutions periodiques de l'equation de Duffing x?+2x3=? cost.- Periodic solutions of nonlinear differential systems.- Bifurcation theory for equations with nonlocal potentials.- Multi-parameter eigenvalue problems and k-linear operators.- An epidemic model with two populations.- Existence theorems for operators of monotone type.- Elliptic partial differential equations may be related by a change of independent variables.

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