Extremality results for first-order discontinuous functional differential equations

Computers and Mathematics with Applications

Volumn 40, Issue 10, 2000, Pages 1217-1232

  Carl, S ^a   Heikkila S ^b  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

^b UNIVERSITY OF OULU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

CONTINUITY; EXTREMAL SOLUTIONS; FUNCTIONAL DEPENDENCE;

DIFFERENTIAL EQUATIONS;

EID: 0034325084     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00233-9     Document Type: Article

References (9)

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3. S. Carl and S. Heikkilä, Operator equations in ordered sets and discontinuous implicit parabolic equations, Nonlinear Anal. (to appear).
4. E.R. Hassan and W. Rzymowski, Extremal solutions of a discontinuous scalar differential equation, Nonlinear Anal. 37, 997-1017 (1999).
5. S. Carl and S. Heikkilä, Operator and differential equations in ordered spaces, J. Math. Anal. Appl. 234, 31-54 (1999).
6. S. Carl and S. Heikkilä, On discontinuous first order implicit boundary value problems, J. Diff. Eqns. 148, 100-121 (1998).
7. S. Heikkilä, Existence results for first order discontinuous differential equations of general form, Pitman Research Notes in Mathematics Series 374, 79-83 (1997).
8. S. Heikkilä, First order discontinuous implicit differential equations with discontinuous boundary conditions, Proc. 2nd World Congress of Nonlinear Analysts, Nonlinear Anal. 30 (3), 1753-1761 (1997).
9. R.L. Pouso, Upper and lower solutions for first order discontinuous ordinary differential equations. J. Math. Anal. Appl. 244, 466-482 (2000).