Solving Third Order Three-Point Boundary Value Problem On Time Scales By Solution Matching Using Differential Inequalities

§ Andhra University, Visakhapatnam 530 003, A. P, India. Andhra University, Visakhapatnam 530 003, A. P, India.

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Solving Third Order Three-Point Boundary Value Problem On Time Scales By Solution  Matching Using Differential Inequalities

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Abstract

We consider the third order boundary value problem associated with the differential equation on time scales on time scales satisfying the conditions We establish the solution of the three point boundary value problem on time scales on [t 1 , σ 3 (t 3 )] by matching solutions on [t 1 , t 2 ] with solutions on [t 2 ,  3 (t 3 )].

References

18 Cites in Article
  1. 1. Bernd Aulbach,Stefan Hilger (1990). Linear Dynamic Processes with Inhomogeneous Time Scale. Nonlinear Dynamics and Quantum Dynamical Systems, 59, 9-20.
  2. 2. P Bailey,L Shamphine,P Waltman (1968). Nonlinear Two Point Boundary Value Problems. Nonlinear Two Point Boundary Value Problems
  3. 3. D Barr,P Miletta (1974). An existence and uniqueness criterion for solutions of boundary value problems. J. Di®. Eqns, 16, 460-471.
  4. 4. D Barr,T Sherman (1973). Existence and uniqueness of solutions of three point boundary value problems. J. Di®. Eqns, 13, 197-212.
  5. 5. M Bohner,P Eloe Calculus on time scales and its applications. Calculus on time scales and its applications
  6. 6. M Bohner,A Peterson (2001). Dynamic Equations on Time Scales, An introduction with Applications. Dynamic Equations on Time Scales, An introduction with Applications
  7. 7. M Bohner,A Peterson (2003). Advances in Dynamic Equations on Time Scales. Advances in Dynamic Equations on Time Scales
  8. 8. K Das,B Lalli (1981). Boundary value problems for y‴ = f(x, y, y′y″). Journal of Mathematical Analysis and Applications, 81(2), 300-307.
  9. 9. M Eggensperger,E Kaufmann,N Kosmatov (2004). Solution matching for a three point boundary value problem on a time scale Elec. J. Di®. Eqns, 1-7.
  10. 10. J Henderson (1983). Three-point boundary value problems for ordiary di®erential equations by matching solutions. Nonlinear Anal, 7, 411-417.
  11. 11. Johnny Henderson (1989). Solution matching for boundary value problems for linear equations. International Journal of Mathematics and Mathematical Sciences, 12(4), 713-720.
  12. 12. J Henderson,K Prasad (2001). Existence and Uniqueness of solutions of threepoint boundary value problems on time scales by solution matching. Nonlinear Studies, 8(1), 1-12.
  13. 13. J Henderson,R Taunton (1993). Solutions for boundary value problems by matching methods. Appl. Anal, 49(3-4), 235-246.
  14. 14. Stefan Hilger (1990). Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus. Results in Mathematics, 18(1-2), 18-56.
  15. 15. B Kaymakcalan,V Lakshmikantham,S Sivasundaram (1996). Dynamical Systems on Measure Chains. Dynamical Systems on Measure Chains
  16. 16. K Lakshmikantham,Murty (1991). Theory of di®erential inequalities and three-point boundary value problems. PanAmer. Math. J, 1, 1-9.
  17. 17. R Moorti,J Garner (1978). Existence-Uniqueness theorems for three-point boundary value problems for nth-order nonlinear di®erential equations. J. Di®. Eqns, 29, 205-213.
  18. 18. D Rao,K Murty,A Rao (1981). On three-point boundary value problems associated with third order di®erential equations. Nonlinear Anal, 5, 669-673.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

N. V. V. S. Suryanarayana, Dr. K. R. Prasad, P. Murali. 2012. "Solving Third Order Three-Point Boundary Value Problem On Time Scales By Solution Matching Using Differential Inequalities". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F3).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification MSC 2010: 34A40
Version of record

v1.2

Issue date
April 10, 2012

Language
English
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Solving Third Order Three-Point Boundary Value Problem On Time Scales By Solution Matching Using Differential Inequalities

N. Suryanarayana
N. Suryanarayana Andhra University, Visakhapatnam 530 003, A. P, India.
Dr. Prasad
Dr. Prasad
P. Murali
P. Murali