A Few Publications.
 

1. "The Minimal Normal Extension for Mz on the Hardy Space of a Planar Region", J. Spraker,                         14.  Nystrom Methods and Singular Second Order Differential Equations”,
Trans. AMS,  Vol.   318, No. 1, (1990), pp. 57-67.                                                                                       with D. Benko, D. Biles,  M. Robinson, and J. Spraker, Computers and
2. "Note on Arc-Length and Harmonic Measure", J. Spraker, Proc. AMS, Vol.  105,                                          Mathematics with Applications, Vol. 56, Issue 8, (2008) pp. 1975-1980

No. 3, (1989), pp. 664-665.                                                                                                                    15.  “Numerical Approximation for Singular Second Order Differential Equations”,                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
3. "Multiplicity Theory and the Outer Boundary", J. Spraker, Proc. AMS, Vol. 112,                                                      D. Benko, D. Biles, M. Robinson, and J.Spraker, Mathematical  

  No. 2, (1991), pp. 391-392                                                                                                                       and Computer Modelling, Issue 49, (2009)  pp. 1109 – 1114                                 
4. "A Study of Almost-Everywhere Singleton-Valued Filippov's",  D. Biles, and J. Spraker, Proc.               
AMS, Vol. 114, No. 2, (1992), pp. 469-473.

5. "Filippov's Operation and Some Attributes", J. Spraker, and D. Biles, Czech. Math. J., Vol. 44,                      16.  “Analytic Solutions for a Class of Functional Differential Equations”,
(1994),  pp. 513-520.                                                                                                                               D. C.  Biles and J. S. Spraker, accepted for publication in
6. "A Comparison of the Caratheodory and Filippov Solution Sets", J. Spraker and D. Biles,                                      International Journal Mathematical Manuscripts (2011)

J of Math. Anal. and App., Vol. 198, (1996), pp. 571-580.                                                                         17.  “Existence of Positive Solutions for a Fourth Order Differential Inclusion”          

7. "Planning a Trip", J. Spraker, D. Biles and M. Robinson, Trans. Ky. Acad. Sci., Vol. 58, No. 2,                       D. C. Biles and J. S Spraker,
(1997), pp. 92-95.                                                                                                                                Accepted for publication in Differential Equations and Applications.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     
8. " Term-by-Term Multiplication of Sequences and Radii of Convergence", M. Robinson, and J.
Spraker, Int. J. Math. Educ. Sci. Tech., Vol. 29, No. 1, (1998), pp. 128-132.
9. "Numerical Solutions for a Class of Non-Convex-Valued Differential Inclusions", D. Biles, M
 Robinson, and J. Spraker,  Dyn. Syst. and App., Vol. 8, No. 2, (1999), pp. 265-270.
10. "Continuous Almost Anywhere", D. Biles, and J. Spraker Int. J. Math. Educ. Sci. Tech.,
Vol. 30, No. 2, (1999), pp. 287-289.
11. “A Generalization of the Lane Emden Equation”, D. Biles,  M. Robinson, and J. Spraker,
 The Journal of Math. Anal. and App., 273, (2002), pp. 654-666.
12. “Analytic Solutions for a Class of Nonlinear Ordinary Differential Equations” , D. Biles, M.
Robinson, and J. Spraker,  Complex Variables, Vol. 48, No. 2, (2003), pp. 143-154.
13.  "Fixed Point Approaches to the Solution of Integral Inclusions",  D. Biles,  M. Robinson,
and J. Spraker, Topological Methods in Nonlinear Analysis, Vol. 25 (2005), pp. 297-311

 

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