A Few Publications.
1. "The Minimal Normal
Extension for Mz on the Hardy Space of a Planar
Region", J. Spraker, Trans. AMS,� Vol. 318, No. 1,
(1990), pp. 57-67.
2.
"Note on Arc-Length and Harmonic Measure", J. Spraker, Proc. AMS,
Vol. 105, No. 3, (1989), pp. 664-665.
3.
"Multiplicity Theory and the Outer Boundary", J. Spraker, Proc. AMS,
Vol. 112, D.No. 2, (1991), pp. 391-392
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,
(1994),
pp.
513-520.
6. "A
Comparison of the Caratheodory and Filippov Solution Sets", J. Spraker and D. Biles,J of Math. Anal. and App., Vol. 198, (1996), pp. 571-580.
7. "Planning a
Trip", J. Spraker, D. Biles and M. Robinson, Trans. Ky. Acad. Sci., Vol.
58, No. 2,
(1997),
pp.
92-95.
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
14. "Nystrom Methods and
Singular Second Order Differential Equations", with D. Benko,
D. Biles, M. Robinson, and J. Spraker, Computers and Mathematics with Applications, Vol. 56, Issue 8, (2008)
pp.1975-1980.
15.
"Numerical Approximation for Singular Second Order Differential
Equations", D. Benko, D. Biles, M. Robinson, and
J.Spraker, Mathematical and Computer Modelling, Issue
49, (2009) pp. 1109-1114
16.
"Analytic Solutions for a Class of Functional Differential
Equations", D. C. Biles and J. S. Spraker, accepted for publication in
International Journal Mathematical Manuscripts (2011).
17. "Existence of Positive Solutions for a Fourth Order
Differential Inclusion", D. C. Biles and J. S Spraker, Differential Equations and Applications, 4, 2012,
539-546.
18.
"Uniqueness for Second Order Differential Equations", D.C.
Biles and J. S. Spraker, Monatshefte fur Mathematik, July 2014, (DOI): 10.1007/s00605-014-0661-z.
19. "Positive Solutions for a Fourth Order Differential Inclusion with Boundary Values", Differential Equations and Applications, Vol. 8, No. 1 pp. 21-31 (2016).
20.
"Results on Uniqueness of Solutions for a Generalized Second
Order Differential Equation", with D. Biles, Accepted for Publication in
the Journal of the Kentucky Academy of Science, (2016).
21. "Solutions for a
Second-order Delay Differential Inclusion with Boundary Values",
Differential Equations and Applications, Vol 9, No. 4, pp,542-553
(2017)..
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