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My Mathematics Geneology
For my curriculum vitae, click here (Updated: February 2007) My primary research areas are Ordinary differential equations, dynamical equations on Time-Scales, and difference equations. Some of the problems, I have been working on, include Comparison of Eigenvalue Problems for different types of Boundary Value Problems, Uniqueness implies Existence for Boundary Value Problems, Existence Theorem using different Fixed Point Theorems, Existence of a Solution by Solutions mathcing etc. List of publications: View in MathSciNet  An existence result for a multipoint boundary value problem on a time scale,
(with B. Lawrence), Adv. Difference Equ , Art ID 63208, (2006), 8pp. Existence of Solutions for Multipoint Boundary Value Problems for
Nth Order Differential Equations , (with J. Henderson, J. Davis, Q. Sheng, and C.C. Tisdell), Nonliear Studies 13, No.1, (2006), 15-21. Comparison of Eigenvalues for a Fourth-Order Three-Point Boundary Value Problem,
(with Eric Kaufmann, and Jason Nobles), Electronic Journal of Qualitative Theory of Differential Equations , 15 (2005), 1-9. Eigenvalue comparison for three point boundary value problems,
Communications on Applied Nonlinear Analysis , 12(3) (2005), 83-91. Existence of Solutions for Three-Point Boundary Value Problems for
Second Order Equations, (with J. Henderson and C. Tisdell), Proceeding of the American Mathematical Society 133 (5) (2005), 1365--1369. Eigenvalue Comparisons for m-Point Boundary Value Problems,
Communications on Applied Nonlinear Analysis, 11(1) (2004), 73-83. Extremal Points for Fourth Order Boundary Value Problems,
Mathematical Sciences Research Journal , 7 (9) (2003), 382-393. For Reviewed Papers, click here. Talks Attended or Presented The 26rd Annual Southeastern Atlantic Regional Conference on
Differential Equations (SEARCDE) , October 27-28, 2006 , University of North Carolina at Greensboro, NC. Twenty Minute Contributed Presentation Title: Existence of positive solutions for multi-point boundary value problems One-Hour Colloquium departmental talk at Marshall University, Huntington, WV,
September 22, 2006 Title: Higher order multi-point boundary value problems The 25rd Annual Southeastern Atlantic Regional Conference on
Differential Equations (SEARCDE) , October 7-8, 2005 , University of Dayton at Dayton, OH. The 24rd Annual Southeastern Atlantic Regional Conference on
Differential Equations (SEARCDE) , October 22-23, 2004 , University of Tennessee at Chattanooga, TN. One-hour presentation(Ph.D. Defence) at Baylor University, Waco,
Texas, June 17, 2004 Title: Comparison of Eigenvalues and Extremal Points Special Session on Dynamic Equations on Time Scales: Theory and Applications,
AMS Western Sectional Meeting ,
April 3-4, 2004, University of Southern California, Los Angeles Twenty Minute invited Presentation One-Hour Invited talk at Marshall University, Huntington, WV, February 18, 2004 Title: Eigenvalue Comparison for Multipoint Boundary Value Problems Special Session on Time Scales at the 2004
Joint National AMS-MAA-SIAM Meetings
in Phoenix, AZ Jan 7-10,04. Twenty Minute invited Presentation Title: Multipoint Boundary Value Problems on Time Scales The 23rd Annual Southeastern Atlantic Regional Conference on Differential
Equations (SEARCDE) , October 17-18, 2003 , Kennesaw State University , Kennesaw, Georgia. Twenty Minute invited Presentation Title: Comparison of Eigenvalues for $m$-Point Boundary Value Problems Special Session on Functional Differential Equations
and Application, Southeastern Meeting of the AMS, Indiana University, Bloomington, Indiana, April 4-5, 2003. Twenty Minute invited Presentation Title: Eigenvalue Comparison for Three Point Boundary value Problems One-hour Presentation at Baylor University, Waco, Texas January 21, 2003 Title: Comparison Results and Extremal Points The 22nd Southeastern Atlantic Regional Conference on Differential Equations,
University of Tennessee, Knoxville, Tennessee, October 11-12, 2002 Professional Affiliations American Mathematical Society (AMS) Mathematical Association of America (MAA) |
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© Karna 2004 Visited 47912 since August 2004 Updated On: 1/20/2009 |
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