Ebook: Ordinary and Partial Differential Equations: Proceedings of the Conference held at Dundee, Scotland, 26–29 March, 1974

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Content:
Front Matter....Pages -
Partial differential equations related to extremal problems for quasiconformal mappings....Pages 1-14
Singularly perturbed initial value problems....Pages 15-22
Existence and bounds for the lowest critical energy of the hartree operator....Pages 23-34
Positive invariance and a Wazewski Theorem....Pages 35-39
An application of the hausdorff-young inequality to eigenfunction expansions....Pages 40-46
On central dispersions of the differential equation Y?=q(t)Y with periodic coefficients....Pages 47-61
Generalized translation operators associated with a singular differential operator....Pages 62-77
Multi-parameter problems....Pages 78-84
Monotonicity with discontinuities in partial differential equations....Pages 85-102
On a deficiency index theorem of W. N. Everitt....Pages 103-108
The essential self-adjointness of Schr?dinger operators....Pages 109-117
Nonlinear elliptic equations....Pages 118-129
A differential inequality with applications to subharmonic functions....Pages 130-132
Inequalities associated with certain partial differential operators....Pages 133-136
The expansion theorem in multi-parameter sturm-liouville theory....Pages 137-142
Fundamental solutions for degenerate parabolic equations....Pages 143-143
Singular perturbations of a vector boundary value problem....Pages 144-148
Asymptotic integration of linear systems....Pages 149-154
Nonlinear perturbations of linear elliptic operators....Pages 155-166
Limit point-limit circle criteria for (py?)?+qy=?ky....Pages 167-172
On second-order differential operators of limit-circle type....Pages 173-183
A dynamical approach to fourth order oscillations....Pages 184-187
Over-determined systems and the rectilinear steady flow of simple fluids....Pages 188-192
A necessary and sufficient limit-circle criterion for left-definite eigenvalue problems....Pages 193-204
Generalized weyl circles....Pages 205-210
Existence and multiplicity of solutions of some nonlinear equations....Pages 211-226
The floquet problem for almost periodic linear differential equations....Pages 227-238
Global estimates for nonlinear reaction and diffusion....Pages 239-251
Perturbation theory for Sobolew spaces....Pages 252-266
Perturbations of self-adjoint operators in L2 (G) with applications to differential operators....Pages 267-267
Square integrable solutions of Lp perturbations of second order linear differential equations....Pages 268-281
Deficiency indices of polynomials in symmetric differential expressions....Pages 282-292
Transform theorems for two-parameter eigenvalue problems in hilbert space....Pages 293-301
Bivariational bounds on ??,g?, when A?=f....Pages 302-307
On the limit point and strong limit point classification of 2nth order differential expressions with wildly oscillating coefficients....Pages 308-310
Determination of Weyl's m-coefficient for a continuous spectrum....Pages 311-315
The matrix functional-differential equation y?(x)=Ay(?x)+By(x)....Pages 316-322
A tetrad approach for a system of PDE's....Pages 323-328
Quasi-analytic solutions of differential equations....Pages 329-333
Integral inequalities and the Liouville transformation....Pages 334-337
Hopf bifurcation with an infinite limiting period....Pages 338-352
N-Soliton solutions of some non-linear dispersive wave equations of physical significance....Pages 353-356
Continuity of generalized solutions of the cauchy problem for the porous medium equation....Pages 357-362
Two timing for abstract differential equations....Pages 363-367
Counterexamples in the spectral theory of singular Sturm — Liouville operators....Pages 368-372
Perturbation of a singular boundary value problem arising from torsional vibration of an inhomogeneous cylinder....Pages 373-382
Some function theoretical aspects in the theory of partial differential equations....Pages 383-387
A multi-parameter sturm-liouville problem....Pages 388-393
Periodic solutions of holomorphic differential equations....Pages 394-401
Volterra equations on a hilbert space....Pages 402-405
How to get numerical convergence out of instable algorithms....Pages 406-410
On the existence of an interface in nonlinear diffusion processes....Pages 411-411
H?lder continuous nonlinear product integrals....Pages 412-416
Continuous spectra and linear operator equations....Pages 417-421
Asymptotic linearity and a class of noninear Sturm-Liouville problems on the half line....Pages 422-428
An elementary calculus for Green's functions associated with singular boundary value problems....Pages 429-433
Gew?hnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in Banachr?umen....Pages 434-438
On the integral equation method for boundary-value problems....Pages 439-443
....Pages 444-447