EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

İlkay Yaslan Karaca; Fatma Tokmak Fen

doi:10.1501/Commua1_0000000729

EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

Year 2015, Volume: 64 Issue: 1, 87 - 97, 01.02.2015

İlkay Yaslan Karaca Fatma Tokmak Fen

https://doi.org/10.1501/Commua1_0000000729

Keywords

Green’s function, iterative system, eigenvalue interval, time scales, boundary value problem, …xed-point theorem, positive solution

References

[1] Agarwal, R. P., Bohner, M. and Wong, P., Sturm-Liouville eigenvalue problems on time scales, Appl. Math. Comput. 99 (1999), 153-166.
[2] Anderson, D. R., Eigenvalue intervals for even order Strum-Liouville dynamic equations, Commun. Appl. Nonlinear Anal. 12 (2005), 1-13.
[3] Benchohra, M., Henderson, J. and Ntouyas, S. K., Eigenvalue problems for systems of nonlinear boundary value problems on time scales, Adv. Di§erence Equ. Art. ID 31640 (2007), 10 pp.
[4] Benchohra, M., Berhoun, F., Hamani, S., Henderson, J., Ntouyas, S.K., Ouahab A. and Purnaras, I.K., Eigenvalues for iterative systems of nonlinear boundary value problems on time scales, Nonlinear Dyn. Syst. Theory 9 (2009), 11-22.
[5] Bohner, M. and Peterson, A., Dynamic Equations on Time Scales: An Introduction with Applications, Birkh‰user, Boston, 2001.
[6] Bohner, M. and Peterson, A., Advances in Dynamic Equations on Time Scales, Birkh‰user, Boston, 2003.
[7] Hilger, S., Ein Maflkettenkalk¸l mit Anwendug auf Zentrumsmanningfaltigkeiten, Ph.D. Thesis, Universit‰t W¸rzbu
[8] Prasad, K. R., Sreedhar N., and Narasimhulu, Y., Eigenvalue intervals for iterative systems of nonlinear m-point boundary value problems on time scales, Di§er. Equ. Dyn. Syst. 22 (2014), 353-368.
[9] Tokmak, F. and Karaca, I. Y., Eigenvalues for iterative systems of nonlinear m-point boundary value problems on time scales, Bound. Value Probl. 2014:63 (2014), 17pp. [10] Sun, J. X., No

Year 2015, Volume: 64 Issue: 1, 87 - 97, 01.02.2015

İlkay Yaslan Karaca Fatma Tokmak Fen

https://doi.org/10.1501/Commua1_0000000729

References

[1] Agarwal, R. P., Bohner, M. and Wong, P., Sturm-Liouville eigenvalue problems on time scales, Appl. Math. Comput. 99 (1999), 153-166.
[2] Anderson, D. R., Eigenvalue intervals for even order Strum-Liouville dynamic equations, Commun. Appl. Nonlinear Anal. 12 (2005), 1-13.
[3] Benchohra, M., Henderson, J. and Ntouyas, S. K., Eigenvalue problems for systems of nonlinear boundary value problems on time scales, Adv. Di§erence Equ. Art. ID 31640 (2007), 10 pp.
[4] Benchohra, M., Berhoun, F., Hamani, S., Henderson, J., Ntouyas, S.K., Ouahab A. and Purnaras, I.K., Eigenvalues for iterative systems of nonlinear boundary value problems on time scales, Nonlinear Dyn. Syst. Theory 9 (2009), 11-22.
[5] Bohner, M. and Peterson, A., Dynamic Equations on Time Scales: An Introduction with Applications, Birkh‰user, Boston, 2001.
[6] Bohner, M. and Peterson, A., Advances in Dynamic Equations on Time Scales, Birkh‰user, Boston, 2003.
[7] Hilger, S., Ein Maflkettenkalk¸l mit Anwendug auf Zentrumsmanningfaltigkeiten, Ph.D. Thesis, Universit‰t W¸rzbu
[8] Prasad, K. R., Sreedhar N., and Narasimhulu, Y., Eigenvalue intervals for iterative systems of nonlinear m-point boundary value problems on time scales, Di§er. Equ. Dyn. Syst. 22 (2014), 353-368.
[9] Tokmak, F. and Karaca, I. Y., Eigenvalues for iterative systems of nonlinear m-point boundary value problems on time scales, Bound. Value Probl. 2014:63 (2014), 17pp. [10] Sun, J. X., No

There are 9 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	İlkay Yaslan Karaca This is me Fatma Tokmak Fen This is me
Publication Date	February 1, 2015
Published in Issue	Year 2015 Volume: 64 Issue: 1

Cite

APA	Yaslan Karaca, İ., & Tokmak Fen, F. (2015). EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 64(1), 87-97. https://doi.org/10.1501/Commua1_0000000729
AMA	Yaslan Karaca İ, Tokmak Fen F. EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2015;64(1):87-97. doi:10.1501/Commua1_0000000729
Chicago	Yaslan Karaca, İlkay, and Fatma Tokmak Fen. “EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64, no. 1 (February 2015): 87-97. https://doi.org/10.1501/Commua1_0000000729.
EndNote	Yaslan Karaca İ, Tokmak Fen F (February 1, 2015) EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64 1 87–97.
IEEE	İ. Yaslan Karaca and F. Tokmak Fen, “EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 64, no. 1, pp. 87–97, 2015, doi: 10.1501/Commua1_0000000729.
ISNAD	Yaslan Karaca, İlkay - Tokmak Fen, Fatma. “EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64/1 (February 2015), 87-97. https://doi.org/10.1501/Commua1_0000000729.
JAMA	Yaslan Karaca İ, Tokmak Fen F. EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64:87–97.
MLA	Yaslan Karaca, İlkay and Fatma Tokmak Fen. “EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 64, no. 1, 2015, pp. 87-97, doi:10.1501/Commua1_0000000729.
Vancouver	Yaslan Karaca İ, Tokmak Fen F. EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64(1):87-9.