Daniel Biles' Publications





1. Daniel C. Biles and John S. Spraker, "A study of almost-everywhere singleton-valued Filippovs," Proceedings of the American Mathematical Society 114, 1992, p. 469-473

2, Daniel C. Biles, "Continuous dependence of nonmonotonic discontinuous differential equations," Transactions of the American Mathematical Society 339, 1993, p. 507-524

3. Daniel C. Biles and John S. Spraker, "Filippov's operation and some attributes," Czechoslovak Mathematical Journal 44, 1994, p. 513-520

4. Daniel C. Biles, "Existence of solutions for discontinuous differential equations," Differential and Integral Equations 8, 1995, p. 1525-1532

5. Daniel C. Biles and John S. Spraker, "A comparison of the Caratheodory and Filippov solution sets," Journal of Mathematical Analysis and Applications 198, 1996, 571-580

6. Daniel C. Biles and Paul A. Binding, "On Caratheodory's conditions for the initial value problem," Proceedings of the American Mathematical Society 125, 1997, p. 1371-1376

7. Daniel C. Biles, "A technique for proving existence of solutions," Journal of Mathematical Analysis and Applications 206, 1997, p. 589-605

8. Daniel C. Biles and Paul A. Binding, "Subfunctions and cone conditions for initial value problems," Canadian Applied Mathematics Quarterly 5, 1997, p. 321-329

9. Daniel C. Biles, "A necessary and sufficient condition for existence of solutions for differential inclusions," Nonlinear Analysis, Theory, Methods and Applications 31, 1998, p. 311-315

10. Daniel C. Biles and John S. Spraker, "Continuous almost everywhere," International Journal of Mathematical Education in Science and Technology 30, 1999, p. 287-289

11. Daniel C. Biles, Mark P. Robinson and John S. Spraker, "Numerical solutions for a class of non-convex-valued differential inclusions," Dynamic Systems and Applications 8, 1999, p. 265-270

12. Daniel C. Biles and Eric Schechter, "Solvability of a finite or infinite system of discontinous differential equations," Proceedings of the American Mathematical Society 128, 2000, p. 3349-3360

13. Daniel C. Biles, Mark P. Robinson and John S. Spraker, "A generalization of the Lane-Emden equation," Journal of Mathematical Analysis and Applications 273, 2002, p. 654-666

14. Daniel C. Biles, Mark P. Robinson and John S. Spraker, "Analytic solutions for a class of nonlinear ordinary differential equations," Complex Variables 48, 2003, p. 143-154

15. Daniel C. Biles and Ferhan M. Atici, "First order dynamic inclusions on time scales," Journal of Mathematical Analysis and Applications 292, 2004, p. 222-237

16. Daniel C. Biles, Mark P. Robinson and John S. Spraker, "Fixed point approaches to the solution of integral inclusions," Topological Methods in Nonlinear Analysis 25, 2005, p. 297-311

17. Daniel C. Biles and Ferhan M. Atici, "First and second order dynamic equations with impulse," accepted by Advances in Differential Equations, 2005

18. Daniel C. Biles, Ferhan M. Atici and Alex Lebedinsky, "An application of time scales to economics," accepted by Mathematical and Computer Modelling, 2005

19. Daniel C. Biles, "Existence of solutions for singular differential inclusions," submitted for publication, 2005

20. Daniel C. Biles, J. Angel Cid, Rodrigo L. Pouso, "Initial value problems for singular and nonsmooth second order differential inclusions," submitted for publication, 2005