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

Simple item page
dc.contributor.advisorHenderson, Johnny.
dc.contributor.authorMa, Ding.
dc.contributor.departmentMathematics.en
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.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.degreePh.D.en
dc.description.statementofresponsibilityby Ding Ma.en
dc.format.extentiv, 58 p.en
dc.format.extent62450210 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2104/3577
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.rights.accessrightsWorldwide accessen
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

Files

Original bundle

Now showing 1 - 2 of 2
Thumbnail Image
Name:
DingMa.pdf
Size:
3.21 MB
Format:
Adobe Portable Document Format
Download
No Thumbnail Available
Name:
permissions.pdf
Size:
3.69 MB
Format:
Adobe Portable Document Format
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.95 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Theses and Dissertations
Theses/Dissertations - Mathematics