Uniqueness and existence results for ordinary differential equations

Journal of Mathematical Analysis and Applications

Volumn 316, Issue 1, 2006, Pages 178-188

  Cid, J Ángel ^a   Heikkilä, Seppo ^b   Pouso, Rodrigo López ^c  

^a UNIVERSITY OF JAÉN   (Spain)

^b UNIVERSITY OF OULU   (Finland)

^c UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

Discontinuous ordinary differential equations; Existence; Uniqueness

Indexed keywords

EID: 30044433414     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.04.035     Document Type: Article

References (8)

1. S. Carl S. Heikkilä Nonlinear Differential Equations in Ordered Spaces 2000 Chapman & Hall/CRC New York
2. J.Á. Cid On uniqueness criteria for systems of ordinary differential equations J. Math. Anal. Appl. 281 2003 264-275
3. J.Á. Cid R.L. Pouso On first-order ordinary differential equations with nonnegative right-hand sides Nonlinear Anal. 52 2003 1961-1977
4. E.R. Hassan W. Rzymowski Extremal solutions of discontinuous differential equations Nonlinear Anal. 37 1999 997-1017
5. S. Heikkilä M. Kumpulainen S. Seikkala Existence, uniqueness and comparison results for a differential equation with discontinuous nonlinearities J. Math. Anal. Appl. 201 1996 478-488
6. S. Heikkilä V. Lakshmikantham Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations 1994 Dekker New York
7. R.L. Pouso On the Cauchy problem for first order discontinuous ordinary differential equations J. Math. Anal. Appl. 264 2001 230-252
8. R.L. Pouso A new approximation scheme for first order ordinary differential equations with nonnegative right-hand sides Nonlinear Anal. 54 2003 361-372