Show simple item record

dc.contributor.advisorHenderson, Johnny.
dc.contributor.authorMa, Ding.
dc.contributor.otherBaylor University. Dept. of Mathematics.
dc.date.accessioned2006-07-07T21:11:00Z
dc.date.available2006-07-07T21:11:00Z
dc.date.copyright2005
dc.date.issued2006-07-07T21:11:00Z
dc.identifier.urihttp://hdl.handle.net/2104/3577
dc.descriptionIncludes bibliographical references (p. 54-58).en
dc.description.abstractIn 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.description.statementofresponsibilityby Ding Ma.en
dc.format.extentiv, 58 p.en
dc.format.extent62450210 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen
dc.rightsBaylor 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.subjectBoundary value problems -- Research.en
dc.subjectDifferential equations -- Research.en
dc.titleUniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations.en
dc.typeThesisen
dc.description.degreePh.D.en
dc.rights.accessrightsWorldwide accessen
dc.contributor.departmentMathematics.en


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record