Fourth-order two-point boundary value problems
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- by Yi Song Yang PDF
- Proc. Amer. Math. Soc. 104 (1988), 175-180 Request permission
Abstract:
We establish the uniqueness and existence theorems for a linear and a nonlinear fourth-order boundary value problem at nonresonance.References
- A. R. Aftabizadeh, Existence and uniqueness theorems for fourth-order boundary value problems, J. Math. Anal. Appl. 116 (1986), no. 2, 415–426. MR 842808, DOI 10.1016/S0022-247X(86)80006-3
- Melvin S. Berger, Nonlinearity and functional analysis, Pure and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1977. Lectures on nonlinear problems in mathematical analysis. MR 0488101
- J. T. Schwartz, Nonlinear functional analysis, Notes on Mathematics and its Applications, Gordon and Breach Science Publishers, New York-London-Paris, 1969. Notes by H. Fattorini, R. Nirenberg and H. Porta, with an additional chapter by Hermann Karcher. MR 0433481
- Riaz A. Usmani, A uniqueness theorem for a boundary value problem, Proc. Amer. Math. Soc. 77 (1979), no. 3, 329–335. MR 545591, DOI 10.1090/S0002-9939-1979-0545591-4 Private communication with R. A. Usmani.
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 175-180
- MSC: Primary 34B05; Secondary 34B10, 34B15
- DOI: https://doi.org/10.1090/S0002-9939-1988-0958062-3
- MathSciNet review: 958062