An infinite interval problem arising in circularly symmetric deformations of shallow membrane caps

International Journal of Non-Linear Mechanics

Volumn 39, Issue 5, 2004, Pages 779-784

  Agarwal, Ravi P ^a   O'Regan, Donal ^b  

^a Florida Institute of Technology ^*  (United States)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Existence; Infinite interval; Membrane cap; Upper and lower solutions

Indexed keywords

ELASTIC MODULI; MATHEMATICAL MODELS; POISSON RATIO; PROBLEM SOLVING; THEOREM PROVING;

MEMBRANE CAPS;

NONLINEAR SYSTEMS;

EID: 0141917526     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(03)00041-6     Document Type: Article

References (8)

1. Baxley J., Robinson S.B. Nonlinear boundary value problems for shallow membrane caps II. J. Comput. Appl. Math. 88:1998;203-224.
2. Dickey R.W. Rotationally symmetric solutions for shallow membrane caps. Quart. Appl. Math. 47:1989;571-581.
3. Johnson K.N. Circularly symmetric deformations of shallow elastic membrane caps. Quart. App1. Math. 55:1997;537-550.
4. R.P. Agarwal, D. O'Regan, Infinite interval problems modelling phenomena which arise in the theory of plasma and electrical potential theory, Studies in Applied Mathematics, in press.
5. Bebernes J.W., Jackson L.K. Infinite interval boundary value problems for. y″=f(x,y) Duke Math. J. 34:1967;39-47.
6. Granas A., Guenther R.B., Lee J.W., O'Regan D. Boundary value problems on infinite intervals and semiconductor devices. J. Math. Anal. Appl. 116:1986;335-348.
7. Agarwal R.P., O'Regan D. Infinite interval problems modelling the flow of a gas through a semi-infinite porous medium. Stud. Appl. Math. 108:2002;245-257.
8. Agarwal R.P., O'Regan D. Singular problems on the infinite interval modelling phenomena in draining flow. IMA J. Appl. Math. 66:2001;621-635.