JIPAM ] Up ]

 


Volume 1, Issue 1, 2000

Article 8

http://jipam.vu.edu.au/v1n1/021_99.html

EXISTENCE AND LOCAL UNIQUENESS FOR NONLINEAR LIDSTONE BOUNDARY VALUE PROBLEMS

JEFFREY EHME AND JOHNNY HENDERSON

DEPARTMENT OF MATHEMATICS,
BOX 214, SPELMAN COLLEGE,
ATLANTA, GEORGIA 30314 USA
EMail: jehme@spelman.edu

DEPARTMENT OF MATHEMATICS,
 AUBURN UNIVERSITY,
AUBURN, ALABAMA 36849-5310 USA
EMail: hendej2@mail.auburn.edu

Received 12 January, 2000; accepted 31 January 2000.
Communicated by: R.P. Agarwal.


ABSTRACT.  Higher order upper and lower solutions are used to establish the existence and local uniqueness of solutions to

y^{(2n)}=f(t,y,y'',\dots,y^{(2n-2)})

 satisfying boundary conditions of the form


h_i(y^{(2i-2)}(0),y^{(2i-2)}(1))-y^{(2i-2)}(0)=0


Key words:
Nonlinear boundary value problem, upper solution, lower solution.

2000 Mathematics Subject Classification: 34B15, 34A40.


Download this article (PDF):

Suitable for a printer:       

Suitable for a monitor:        

To view these files we recommend you save them to your file system and then view by using the Adobe Acrobat Reader. 

That is, click on the icon using the 2nd mouse button and select "Save Target As..." (Microsoft Internet Explorer) or "Save Link As..." (Netscape Navigator).

See our PDF pages for more information.

 

 

Other papers in this issue

Volume 1, Number 1, 2000
http://jipam.vu.edu.au/v1n1/

1.

Power-monotone sequences and Fourier series with positive coefficients

L. Leindler

2.

On Hadamard's Inequality on a Disk

S.S. Dragomir

3.

A Steffensen Type Inequality

Hillel Gauchman

4.

Generalized Abstracted Mean Values

Feng Qi

5.

An Inequality for Linear Positive Functionals

Bogdan Gavrea and Ioan Gavrea

6.

Inequalities for Planar Convex Sets

Paul R. Scott and Poh Wah Awyong

7.

Reverse Weighted Lp - Norm Inequalities in Convolutions

Saburou Saitoh, Vu Kim Tuan and Masahiro Yamamoto

8.

Existence and Local Uniqueness for Nonlinear Lidstone Boundary Value Problems

Jeffrey Ehme and Johnny Henderson

9.

On Hadamard's Inequality for the Convex Mappings Defined on a Convex Domain in the Space

Bogdan Gavrea

10.

Weighted Modular Inequalities for Hardy-Type Operators on Monotone Functions

Hans P. Heinig and Qinsheng Lai

 

Editors

R.P. Agarwal
G. Anastassiou
T. Ando
H. Araki
A.G. Babenko
D. Bainov
N.S. Barnett
H. Bor
J. Borwein
P.S. Bullen
P. Cerone
S.H. Cheng
L. Debnath
S.S. Dragomir
N. Elezovic
A.M. Fink
A. Fiorenza
T. Furuta
L. Gajek
H. Gauchman
C. Giordano
F. Hansen
D. Hinton
A. Laforgia
L. Leindler
C.-K. Li
L. Losonczi 
A. Lupas
R. Mathias
T. Mills
G.V. Milovanovic
R.N. Mohapatra
B. Mond
M.Z. Nashed
C.P. Niculescu
I. Olkin
B. Opic
B. Pachpatte
Z. Pales
C.E.M. Pearce
J. Pecaric
L.-E. Persson
L. Pick
I. Pressman
S. Puntanen
F. Qi
A.G. Ramm
T.M. Rassias
A. Rubinov
S. Saitoh
J. Sandor
S.P. Singh
A. Sofo
H.M. Srivastava
K.B. Stolarsky
G.P.H. Styan
L. Toth
R. Verma
F. Zhang

2000 School of Communications and Informatics, Victoria University of Technology. All rights reserved.
JIPAM is published by the School of Communications and Informatics which is part of the Faculty of Engineering and Science, located in Melbourne, Australia. All correspondence should be directed to the editorial office.

Copyright/Disclaimer


Up ] Article 1 ] Article 2 ] Article 3 ] Article 4 ] Article 5 ] Article 6 ] Article 7 ] [ Article 8 ] Article 9 ] Article 10 ]