Extremality and comparison results for discontinuous third order functional initial-boundary value problems

Journal of Mathematical Analysis and Applications

Volumn 255, Issue 1, 2001, Pages 195-212

  Cabada, A ^a   Heikkila S ^b  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^b UNIVERSITY OF OULU   (Finland)

Author keywords

Third order differential equations; extremal solutions; dependence on data; discontinuity; functional dependence

Indexed keywords

EID: 0035285187     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7232     Document Type: Article

References (6)

1. A. Cabada, and, S. Heikkilä, Uniqueness, comparison and existence results for third order functional initial-boundary value problems, Comput. Math. Appl, to appear.
2. Cabada A., Lois S. Existence of solution for discontinuous third order boundary value problems. J. Comput. Appl. Math. 110:1999;105-114.
3. Carl S., Heikkilä S. Nonlinear Differential Equations in Ordered Spaces. 2000;Chapman & Hall, London/New York and CRC, Boca Raton, FL.
4. Hassan E. R., Rzymowski W. Extremal solutions of a discontinuous differential equation. Nonlinear Anal. 37:1999;997-1017.
5. Heikkilä S., Lakshmikantham V. Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations. 1994;Dekker, New York.
6. Pouso R. L. Upper and lower solutions for first-order discontinuous ordinary differential equations. J. Math. Anal. Appl. 244:2000;466-482.