Singular initial and boundary value problems with sign changing nonlinearities

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 65, Issue 2, 2000, Pages 173-198

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

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MECHANICS; NONLINEAR SYSTEMS; PROBLEM SOLVING; THEOREM PROVING; VARIATIONAL TECHNIQUES;

MEMBRANE RESPONSE; NONLINEAR MECHANICS; RADIAL RETRACTION; SPHERICAL CAP;

INITIAL VALUE PROBLEMS;

EID: 0034301909     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/65.2.173     Document Type: Article

References (8)

1. AGARWAL, R. P. & O'REGAN, D. 1998a Positive solutions to singular initial value problems with sign changing nonlinearities. Math. Computer Modelling 28, 31-39.
2. AGARWAL, R. P. & O'REGAN, D. 1998b Positive solutions to superlinear singular boundary value problems. J. Comput. Appl. Math. 88, 129-147.
3. BAXLEY, J. V. 1988 A singular nonlinear boundary value problem: membrane response of a spherical cap. SIAM J. Appl. Math. 48, 497-505.
4. CONWAY, J. B. 1978 Functions of One Complex Variable. New York: Springer.
5. O'REGAN, D. 1994 Theory of Singular Boundary Value Problems. Singapore: World Scientific.
6. O'REGAN, D. 1996 Boundary value problems singular in the solution variable with nonlinear boundary data. Proc. Edinburgh Math. Soc. 39, 505-523.
7. O'REGAN, D. 1997 Singular Dirichlet boundary value problems I: superlinear and nonresonance case. Nonlinear Anal. 29, 221-245.
8. O'REGAN, D. 1998 Singular differential equations with linear and nonlinear boundary conditions. Computers and Mathematics with Applications 35, 81-87.