Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-25T04:30:10.077Z Has data issue: false hasContentIssue false
  • English
  • Français

Fourth-order boundary value problems at nonresonance

Published online by Cambridge University Press:  17 April 2009

Yisong Yang
Yisong Yang
Affiliation:
Department of Mathematics, University of Massachusetts, Amherst MA 01003, United States of America
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We establish under nonuniform nonresonance conditions an existence and uniqueness theorem for a linear, and the solvability for a nonlinear, fourth-order boundary value problem which occurs frequently in plate deflection theory.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 3 , June 1988 , pp. 337 - 343
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Aftabizadeh, A.R., ‘Existence and uniqueness theorems for fourth-order boundary value problems’, J. Math. Anal. Appl. 116 (1986), 415–426.CrossRefGoogle Scholar
[2]Gilbarg, D. and Trudinger, N.S., Elliptic Partial Diffenential Equations of Second Order (Springer-Verlag, Berlin, Heidelberg, New York, 1977).CrossRefGoogle Scholar
[3]Nkashama, M.N. and Willem, M., ‘Periodic solutions of the boundary value problem for the nonlinear heat equation’, Bull. Auatral. Math. Soc. 29 (1984), 99–110.CrossRefGoogle Scholar
[4]Usmani, R. A., ‘A uniqueness theorem for a boundary value problem’, Proc. Amer. Math. Soc. 77 (1979), 329–335.CrossRefGoogle Scholar
[5]Yang, Y., ‘Fredholm alternatives for a fourth-order boundary value problem’, submitted.Google Scholar