A.Publications

1.Chyan, Chuan-jen; Henderson, J., Positive solutions of 2m order boundary value problem.

    Applied Mathematics Letters (SCI), 15, 767-74, (2002).

2.Chyan, Chuan-jen, Eigenvalue intervals for 2mth order Strum-Liouville boundary value problems. 

     Journal of difference equations and applications, 403-414, (2002).

3.Chyan, Chuan-jen; Henderson, J., Eigenvalue characterization for a fourth order boundary value 

     problem. Panamerican Mathematical Journal, 12, 75-83, (2002).

4.Avery, R. C.; Chyan, Chuan-jen; Henderson, J., Twin solutions of boundary value problems for 

     ordinary differential equatios on measure chain. Journal of computational and applied 

     mathematics(SCI), 42, 695-704, (2001).

5.Chuan-Jen Chyan, H.M. Srivastava, Kung-Yu Chen, Some Polynomial Systems Associated with a

      Certain Family of Differential Operators. Journal of Mathematical Analysis and Applications 

      (SCI), 268, 344-377, (2002). 

6.Chyan, Chuan-jen; Henderson, J.; Yin, W. K. C., A convergence theorem on a measure chain. 

    Math Sci Res Hot-line, 5, no.2, 15-22, (2001).

7.Avery, R. C.; Chyan, Chuan-jen; Henderson, J., Twin solutions of boundary value problems for 

    ordinary differential equations and finite difference equations.Computers & mathematics 

    with applications(SCI),42, no.3-5, 695-740, (2001).

8.Chyan, Chuan-jen; Henderson, J.; Lo, H. C., Existence of triple positive solutions of 

    discrete (n, p) boundary value problems. Applied mathematics letters (SCI), 14, 347-352, 

    (2001).

9.Chyan, Chuan-jen, Uniqueness implies existence on  a time scale. Journal of mathematical 

    analysis and applications (SCI), 258,no.1, 359-365, (2001).

10.M Chyan, Chuan-jen; Henderson, J., Multiple solutions for (n, p) boundary value problems. 

    Dynamic systems and applications, 10, no.1, 53-61, (2001).

11.Chyan, Chuan-jen; Chan, W. C.; Srivastava, H. M., The Lagrange Polynomials in several 

    variables. Integral Transforms and Special Functions (SCI), 12, 139-148, (2001).

12.Existe Chyan, Chuan-jen; Davis, J. M., nce of triple positive solutions for (n,p) and (p,n) 

    boundary value problems. Communications in applied analysis, 5, no.4, 571-581, (2001).

13.Chyan, Chuan-jen; Henderson, J.; Lo, H. C., Existence of triple positive solutions for a 

    class of boundary value problems. Panamerican mathematical journal, 11, no.1, 53-60, 

    (2001).

14.Chyan, Chuan-jen; Davis, J. M.; Yin, W. K. C., Existence of triple positive solutions 

    for (k, n-k) right focal boundary value problems. Nonlinear Studies, 8,no.1, 33-51, 

    (2001).

15.Chyan, Chuan-jen; Henderson, J., A multiplicity result for positive solutions of right 

    focal boundary value problems. Communications in applied analysis，5，no.4, 485—495, 

    (2001). 

16.Chyan, Chuan-jen; Henderson, J., Multiple solutions for 2mth order Sturm-Liouville boundary 

     value problems. Computer and mathematics with applications (SCI), 40, 231-237,(2000).

17.Chyan, Chuan-jen; Henderson, J., Eigenvalue problems for nonlinear differential equations 

     on a measure chain. Journal of mathematical analysis and applications (SCI),245，no.2,

     547-559, (2000).

18.Chyan, Chuan-jen; Henderson, J., Eigenvalue problems for a conguate difference equations.

     Applicable analysis, 76(1-2), 51-65, (2000).

19.Chyan, Chuan-jen; Henderson, J., Uniqueness implies existence for $(n,p)$ boundary value 

     problems. Applicable analysis, 73, no.3-4, 543-556, (1999).

20.Chyan, Chuan-jen; Henderson, J., Eigenvalue characterization for a class of boundary value 

     problems. Electronic journal of qualitative of differential equations,12, 1-13, (1999).

21.Chyan, Chuan-jen; Henderson, J.； Lo, H. C., Positive solutions in an annulus for nonlinear 

     differential equations on a measure chain. Tamkang journal of mathematics, 30, no.3, 

     231-240,(1999).

22.Chyan, Chuan-jen; Henderson, J., Existence of triple positive solutions of higher order 

     boundary value problems. Communications on applied nonlinear analysis, 6, no.3, 37-47,

     (1999).

23.Chyan, Chuan-jen; Henderson, J., Eigenvalue comparisons for differential equations on a 

     measure chain. Electronic Journal of Differential Equations, 35, 1-7,(1998).

24.Chyan, Chuan-jen； Henderson, J., Existence theorem for a singular second order 

     boundary value. Non-linear Differential Equations Theorey-Methods and Applications, 2, 

     153-160, (1994).

25.Chyan, Chuan-jen, Positive solutions for singular higher order nonlineat equations.

     Differential equations and dynamical systems, 2, no.2, 153-160, (1994).

26.Chyan, Chuan-jen, Positive solution of a system of higher order boundary value problems. 

     Panamerican mathematical journal, 3, no.4, 9-88, (1993).

27.Chyan, Chuan-jen; Henderson, J., A note on global existence for boundary value problems. 

     International journal of mathematics and mathematical sciences, 12, no.3, 615-618, (1989).

28.Chyan, Chuan-jen, Two linear population models and their associated semigroups. 57 ,(1985).

29.Chyan, Chuan-jen, Positive solutions of second order systems defferential equationson a 

     measure chain. Houston Journal of mathematics.

30.Chyan, Chuan-jen; Henderson, J., Eigenvalue characterization for 4th order two point boundary 

     value problem. Non-linear Differential Equations Theorey-Methods and Applications, submitted.

Grants

1. NSC84-2121-M032-008 

   Existence Theorem for a Higher Order Sigular Boundary Value Problem

2. NSC89-2115-M032-004 

    Positive Solutions for Nonlinear Differential Equations in the Annulus on a Measure Chain

3. NSC89-2115-M032-012 

    Twin Postive Solutions for 2nd Order Nonlinear Differential Equation

4. NSC90-2115-M032-007 

    A Convergence Theorem on a Measure Chain

5. NSC91-2115-M032-007 

    Positive Solutions of Systems of Second Order Differential Equations on a Measure Chain

    Nagumo type existence result for a second order nonlinear dynamic BVP