Unified approach to monotone iterative technique for semilinear parabolic problems

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volumn 10, Issue 4, 2003, Pages 539-548

  Koksal S ^a   Lakshmikantham, V ^a  

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

Author keywords

Coupled lower and upper solutions; Semilinear parabolic problems; Unified monotone iterative technique

Indexed keywords

EID: 4544328443     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Carl, S., On the existence of extremal weak solutions for a class of quasilinear parabolic problems, Diff. and Integ. Eqns. 6 (1993), 1493-1505.
2. Carl, S. and Lakshmikantham, V., Generalized quasilinearization and semilinear parabolic problems, Nonlinear Analysis (to appear).
3. Köksal, S. and Lakshmikantham, V., Unified approach to monotone iterative technique for semilinear elliptic problems, Nonlinear Analysis (to appear.
4. Köksal, S. and Lakshmikantham, V., Unified approach to monotone iterative technique for quasilinear elliptic problems, (to appear).
5. Ladde, G.S., Lakshmikantham, V. and Vatsala, A.S., Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman, Boston 1985.
6. Showalter, R.E., Monotone Operators in Banach Space and Nonlinear Partial Differential Equations, Vol. 49, AMS 1997.
7. Zeidler, E., Nonlinear Functional Analysis and Its Applications, Vol. IIA, Springer-Verlag, Berlin 1990.