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Ordinary and Partial Differential Equations

Proceedings of the Conference held at Dundee, Scotland, 26–29 March, 1974

  • Editors
  • B. D. Sleeman
  • I. M. Michael
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 415)

Table of contents

  1. Front Matter
    Pages N2-XVII
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  2. Partial differential equations related to extremal problems for quasiconformal mappings
    Cabiria Andreian Cazacu
    Pages 1-14
  3. Singularly perturbed initial value problems
    John V. Baxley
    Pages 15-22
  4. Existence and bounds for the lowest critical energy of the hartree operator
    N. W. Bazley
    Pages 23-34
  5. Positive invariance and a Wazewski Theorem
    J. Bebernes
    Pages 35-39
  6. An application of the hausdorff-young inequality to eigenfunction expansions
    Harold E. Benzinger
    Pages 40-46
  7. On central dispersions of the differential equation Y″=q(t)Y with periodic coefficients
    O. Boruvka
    Pages 47-61
  8. Generalized translation operators associated with a singular differential operator
    B. L. J. Braaksma, H. S. V. de Snoo
    Pages 62-77
  9. Multi-parameter problems
    Patrick J. Browne
    Pages 78-84
  10. Monotonicity with discontinuities in partial differential equations
    L. Collatz
    Pages 85-102
  11. On a deficiency index theorem of W. N. Everitt
    A. Devinatz
    Pages 103-108
  12. The essential self-adjointness of Schrödinger operators
    M. S. P. Eastham
    Pages 109-117
  13. Nonlinear elliptic equations
    D. E. Edmunds
    Pages 118-129
  14. A differential inequality with applications to subharmonic functions
    Matts Essén
    Pages 130-132
  15. Inequalities associated with certain partial differential operators
    W. N. Everitt, M. Giertz
    Pages 133-136
  16. The expansion theorem in multi-parameter sturm-liouville theory
    M. Faierman
    Pages 137-142
  17. On the differential equation \(\mathop \Sigma \limits_{r = 0}^n\)cr (pD1+qD2)ru=0
    I. Fenyö
    Pages 143-143
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  18. Fundamental solutions for degenerate parabolic equations
    Avner Friedman
    Pages 144-148
  19. Singular perturbations of a vector boundary value problem
    P. Habets
    Pages 149-154
  20. Asymptotic integration of linear systems
    W. A. Harris Jr, D. S. Lutz
    Pages 155-166
  21. Nonlinear perturbations of linear elliptic operators
    Peter Hess
    Pages 167-172
  22. Limit point-limit circle criteria for (py′)′+qy=λky
    Don Hinton
    Pages 173-183
  23. On second-order differential operators of limit-circle type
    Ian Knowles
    Pages 184-187
  24. A dynamical approach to fourth order oscillations
    Kurt Kreith
    Pages 188-192
  25. Over-determined systems and the rectilinear steady flow of simple fluids
    J. B. McLeod
    Pages 193-204
  26. A necessary and sufficient limit-circle criterion for left-definite eigenvalue problems
    H.-D. Niessen
    Pages 205-210
  27. Generalized weyl circles
    Åke Pleijel
    Pages 211-226
  28. Existence and multiplicity of solutions of some nonlinear equations
    Klaus Schmitt
    Pages 227-238
  29. The floquet problem for almost periodic linear differential equations
    George R. Sell
    Pages 239-251
  30. Global estimates for nonlinear reaction and diffusion
    Ivar Stakgold
    Pages 252-266
  31. Perturbation theory for Sobolew spaces
    F. Stummel
    Pages 267-267
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  32. Perturbations of self-adjoint operators in L2 (G) with applications to differential operators
    Joachim Weidmann
    Pages 268-281
  33. Square integrable solutions of Lp perturbations of second order linear differential equations
    James S. W. Wong
    Pages 282-292
  34. Deficiency indices of polynomials in symmetric differential expressions
    Anton Zettl
    Pages 293-301
  35. Transform theorems for two-parameter eigenvalue problems in hilbert space
    F. M. Arscott
    Pages 302-307
  36. Bivariational bounds on 〈ϕ,g〉, when Aϕ=f
    M. F. Barnsley, P. D. Robinson
    Pages 308-310
  37. On the limit point and strong limit point classification of 2nth order differential expressions with wildly oscillating coefficients
    B. Malcolm Brown, W. Desmond Evans
    Pages 311-315
  38. Determination of Weyl's m-coefficient for a continuous spectrum
    Erkki Brändas, Michael Hehenberger
    Pages 316-322
  39. The matrix functional-differential equation y′(x)=Ay(λx)+By(x)
    J. Carr, J. Dyson
    Pages 323-328
  40. A tetrad approach for a system of PDE's
    G. Debney, D. Farnsworth
    Pages 329-333
  41. Quasi-analytic solutions of differential equations
    J. W. de Roever
    Pages 334-337
  42. Integral inequalities and the Liouville transformation
    W. N. Everitt
    Pages 338-352
  43. Hopf bifurcation with an infinite limiting period
    H. I. Freedman
    Pages 353-356
  44. N-Soliton solutions of some non-linear dispersive wave equations of physical significance
    J. D. Gibbon, P. J. Caudrey, R. K. Bullough, J. C. Eilbeck
    Pages 357-362
  45. Continuity of generalized solutions of the cauchy problem for the porous medium equation
    B. H. Gilding
    Pages 363-367
  46. Two timing for abstract differential equations
    William S. Hall
    Pages 368-372
  47. Counterexamples in the spectral theory of singular Sturm — Liouville operators
    S. G. Halvorsen
    Pages 373-382
  48. Perturbation of a singular boundary value problem arising from torsional vibration of an inhomogeneous cylinder
    D. J. Heath, A. D. Wood
    Pages 383-387
  49. Some function theoretical aspects in the theory of partial differential equations
    G. Jank
    Pages 388-393
  50. A multi-parameter sturm-liouville problem
    A. Källström, B. D. Sleeman
    Pages 394-401

About these proceedings

Keywords

Boundary value problem Differentialgleichung Partielle Differentialgleichung partial differential equation wave equation

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0065505
  • Copyright Information Springer-Verlag Berlin Heidelberg 1974
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-06959-1
  • Online ISBN 978-3-540-37264-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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