Lidstone continuous and discrete boundary value problems

Memoirs on Differential Equations and Mathematical Physics

Volumn 19, Issue , 2000, Pages 107-125

  Agarwal, Ravi P ^a   O’Regan, Donal ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Continuous boundary value problem; Discrete boundary value problem

Indexed keywords

EID: 0007144223     PISSN: 15120015     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

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3. R. P. Agarwal, D. O’Regan, and P. J. Y. Wong, Positive solutions of Differential, Difference and Integral equations. Kluwer Acad. Publ., Dordrecht, 1999.
4. R. P. Agarwal and P. J. Y. Wong, On Lidstone polynomials and boundary value problems. Comput. Math. Appl. 17(1989), 1397-1421.
5. R. P. Agarwal and P. J. Y. Wong, Error inequalities in polyno-mial interpolation and their applications. Kluwer Acad. Publ., Dordrecht, 1993.
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8. Davis, J., and Henderson, J. Uniqueness implies existence for fourth order Lidstone boundary value problems. Panamer. Math. J. 8(1998), (in press).
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10. T. H. Lamar. Existence of positive solutions in a cone for a class of 2n-th order nonlinear boundary value problems with Lidstone boundary conditions. Appl. Anal. (to appear)
11. D. O’Regan. Existence principles and theory for singular Dirichlet boundary value problems. Differential Equations Dynam. Systems 3(1995) 9-304.
12. D. O’Regan, Existence theory for nonlinear ordinary differential equations. Kluwer Acad. Publ., Dordrecht, 1997.
13. P. J. Y. Wong and R. P. Agarwal, Eigenvalues of Lidstone boundary value problems. Appl. Math. and Comput. (to appear).
14. P. J. Y. Wong and R. P. Agarwal, Results and estimates on multiple solutions of Lidstone boundary value problems. Acta Math. Hun gar. (to appear).
15. P. J. Y. Wong and R. P. Agarwal, Multiple solutions of dif ference and partial difference equations with Lidstone conditions. Math Comput. Modelling, (to appear).
16. P. J. Y. Wong and R. P. Agarwal, Characterization of eigen values for difference equations subject to Lidstone conditions. (Submitted)