Infinite interval problems arising in non-linear mechanics and non-Newtonian fluid flows

International Journal of Non-Linear Mechanics

Volumn 38, Issue 9, 2003, Pages 1369-1376

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

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

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Circular membrane; Existence; Infinite interval; Non Newtonian fluid; Upper and lower solutions

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; STRESS ANALYSIS; TENSORS;

INFINITE INTERVAL PROBLEMS;

NON NEWTONIAN FLOW;

EID: 0037412241     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(02)00076-8     Document Type: Article

References (10)

1. R.P. Agarwal, D. O'Regan, Continuous and discrete boundary value problems on the infinite interval: existence theory, Mathematika, to appear.
2. R.L. Fosdick, K.R. Rajagopal, Thermodynamics and stability of fluids of third grade. Proc. Royal Soc. London Ser. A. 369:1980;351-377.
3. Vajravelu K., Cannon J.R., Rollins D. Analytic and numerical solutions of nonlinear differential equations arising in non-Newtonian fluid flows. J. Math. Anal. Appl. 250:2000;204-221.
4. Dickey R.W. The plane circular elastic surface under normal pressure. Arch. Rational Mech. Anal. 26:1967;219-236.
5. Baxley J. A singular nonlinear boundary value problem. membrane response of a spherical cap SIAM J. Appl. Math. 48:1988;497-505.
6. Na T.Y. Computational Methods in Engineering Boundary Value Problems. 1979;Academic Press, New York.
7. Bobisud L.E., O'Regan D. Positive solutions for a class of nonlinear singular boundary value problems at resonance. J. Math. Anal. Appl. 184:1994;263-284.
8. Bebernes J.W., Jackson L.K. Infinite interval boundary value problems for. y″=f(x,y) Duke Math. J. 34:1967;39-47.
9. Chan C.Y., Hon Y.C. Computational methods for generalized Emden-Fowler models of neutral atoms. Quart. Appl. Math. 46:1988;711-726.
10. 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.