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Uniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations.

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dc.contributor.advisor Henderson, Johnny.
dc.contributor.author Ma, Ding.
dc.contributor.other Baylor University. Dept. of Mathematics.
dc.date.copyright 2005
dc.identifier.uri http://hdl.handle.net/2104/3577
dc.description.abstract In this dissertation, we are concerned with uniqueness and existence of solutions of certain types of boundary value problems for fourth order differential equations. In particular, we deal with uniqueness implies uniqueness and uniqueness implies existence questions for solutions of the fourth order ordinary differential equation, y⁴ = f (x, y, y¹, yⁿ, yᵐ) , satisfying nonlocal 5-point boundary conditions given by y(x₁) = y₁, y(x₂) = y₂, y(x₃) = y₃, y(x) - y(x₅) = y₄ , where a < x₁ < x₂ < x₃ < x₄ < x₅ < b, and y₁, y₂, y₃, y₄ ∈ R. We also consider solutions of this fourth order differential equation satisfying nonlocal 4-point and 3-point boundary conditions given by y(x₁) = y₁, y'(x₁) = y₂, y(x₂) = y₃, y(x₃) - y(x₄) = y₄ , y(x₁) = y₁, y'(x₁) = y₂, y''(x₁) = y₃, y(x₂) - y(x₃) =y₄. en
dc.rights Baylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact librarywebmaster@baylor.edu for inquiries about permission. en
dc.subject Boundary value problems -- Research. en
dc.subject Differential equations -- Research. en
dc.title Uniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations. en
dc.type Thesis en
dc.description.degree Ph.D. en
dc.rights.accessrights Worldwide access en
dc.contributor.department Mathematics. en


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