Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition

Type: Article

Publication Date: 1991-01-01

Citations: 129

DOI: https://doi.org/10.1090/s0002-9939-1991-1043407-9

Abstract

We show existence for a nonlinear fourth-order boundary value problem under a nonresonance condition involving a two-parameter linear eigenvalue problem. We also state extensions of this result to certain higher-order P.D.E. cases.

Locations

  • Proceedings of the American Mathematical Society - View - PDF

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