Upper and lower solutions and quasilinearization for a class of second order singular nonlinear differential equations with nonlinear boundary conditions

Nonlinear Analysis: Real World Applications

Volumn 8, Issue 2, 2007, Pages 636-645

  El Gebeily, Mohamed ^a   O'Regan, Donal ^b  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Nonlinear boundary conditions; Nonlinear ordinary differential equations; Quasilinearization method; Upper and lower solutions

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FUNCTIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

LOWER SOLUTIONS; NONLINEAR BOUNDARY CONDITIONS; NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS; QUASILINEARIZATION METHOD; UPPER SOLUTIONS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 33845580079     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2006.02.001     Document Type: Article

References (5)

1. M. El-Gebeily, D. O'Regan, A generalized quasilinearization method for second order nonlinear differential equations with nonlinear boundary conditions, J. Comput. Appl. Math., to appear.
2. M. El-Gebeily, D. O'Regan, A quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions, Nonlinear Anal. (Real World Applications), in press, doi:10.1016/j.nonrwa.2005.06.008.
3. Lakshmikantham V., and Vatsala A. Generalized Quasilinearization for Nonlinear Problems (1998), MIA, Kluwer, Dordrecht, Boston, London
4. Naimark M.A. Linear Differential Operators, Part II (1968), Ungar, New York
5. Nieto J.J. Quadratic approximation of solutions for ordinary differential equations. Bull. Austral. Math. Soc. 55 (1997) 161-168