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Uniqueness implies uniqueness and ex...

Ma, Ding.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Uniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations./
Author:	Ma, Ding.
Description:	66 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-10, Section: B, page: 5440.
Contained By:	Dissertation Abstracts International66-10B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3195281
ISBN:	9780542390692

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

Uniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations. - 66 p.

Source: Dissertation Abstracts International, Volume: 66-10, Section: B, page: 5440.

Thesis (Ph.D.)--Baylor University, 2006.

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,y',y'',y' '', satisfying nonlocal 5-point boundary conditions given by yx1=y1 ,yx2 =y2,yx3 =y3,yx4 -yx5=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 yx1=y1 ,y'x 1=y2,y x2=y3, yx3-y x4=y4, yx1=y1 ,y'x 1=y2,y ''x1 =y3,yx2 -yx3=y4 .

ISBN: 9780542390692Subjects--Topical Terms:

515831
Mathematics.

Uniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations.
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008 130610s2006 eng d
020 $a 9780542390692
035 $a (UnM)AAI3195281
035 $a AAI3195281
040 $a UnM $c UnM
100 1 $a Ma, Ding. $3 1916417
245 1 0 $a Uniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations.
300 $a 66 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-10, Section: B, page: 5440.
500 $a Chair: Johnny Henderson.
502 $a Thesis (Ph.D.)--Baylor University, 2006.
520 $a 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,y',y'',y' '', satisfying nonlocal 5-point boundary conditions given by yx1=y1 ,yx2 =y2,yx3 =y3,yx4 -yx5=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 yx1=y1 ,y'x 1=y2,y x2=y3, yx3-y x4=y4, yx1=y1 ,y'x 1=y2,y ''x1 =y3,yx2 -yx3=y4 .
590 $a School code: 0014.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 0 $a Baylor University. $3 771397
773 0 $t Dissertation Abstracts International $g 66-10B.
790 1 0 $a Henderson, Johnny, $e advisor
790 $a 0014
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3195281