Uneingeschränkter Zugang

Asymptotic Properties of Solutions to Discrete Sturm-Liouville Monotone Type Equations


Zitieren

AGARWAL, R. P.: Difference Equations and Inequalities: Theory, Methods and Applications. Marcel Dekker, New York, 2000. Search in Google Scholar

AHLBRANDT, C. D.—PETERSON, A. C.: Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations. Kluwer Academic Publishers, Boston, 1996. Search in Google Scholar

AMREIN, W. O.—HINZ, A. M.—PEARSON, D. B.: (eds.), Sturm-Liouville theory. Past and present. (Selected survey articles based on lectures presented at a colloquium and workshop in Geneva, Italy, September 15–19, 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm.) Birkhüser Verlag, Basel, 2005. Search in Google Scholar

CHENG, S. S.—LI, J.—PATULA, W. T.: Bounded and zero convergent solutions of second-order difference equations, J. Math. Anal. Appl. 141 (1989), no. 2, 463–483. DOI: 10.1016/0022-247X(89)90191-1 Open DOISearch in Google Scholar

HILSCHER, R.Š.: Spectral and oscillation theory for general second order Sturm--Liouville difference equations, Adv. Difference Equ. 2012, paper no. 82, (2012), 19 pp. Search in Google Scholar

HINTON, D. B.—LEWIS, R. T.: Spectral analysis of second order difference equations, J. Math. Anal. Appl. 63 (1978), 421–438. DOI:10.1016/0022-247X(78)90088-4 Open DOISearch in Google Scholar

HOOKER, J. W.—PATULA, W. T.: A second-order nonlinear difference equation: oscillation and asymptotic behavior, J. Math. Anal. Appl. 91 1983, no. 1, 9–29. Search in Google Scholar

MIGDA, J.: Approximative solutions of difference equations, Electron. J. Qual. Theory Differ. Equ. 2014 (2014), paper no. 13, 26 pp. Search in Google Scholar

MIGDA, M.: Asymptotic behaviour of solutions of nonlinear delay difference equations, Fasc. Math. 31 (2001) 57–62. Search in Google Scholar

MIGDA, J.—MIGDA, M.—SCHMEIDEL, E.: Asymptotic properties of solutions to discrete Volterra monotone type equations, Symmetry 2021, 13.6: 918, https://doi.org/10.3390/sym13060918 Search in Google Scholar

MIGDA, J.—MIGDA, M.—ZBĄSZYNIAK, Z.: Asymptotically periodic solutions of second order difference equations, Appl. Math. Comput. 350 (2019), 181–189. Search in Google Scholar

MIGDA, J.—NOCKOWSKA-ROSIAK, M.: Asymptotic properties of solutions to difference equations of Sturm-Liouville type, Appl. Math. Comput. 340 (2019), 126–137. Search in Google Scholar

MIGDA, J.—NOCKOWSKA-ROSIAK, M.—MIGDA, M.: Properties of solutions of generalized Sturm-Liouville discrete equations Bull. Malays. Math. Sci. Soc. 44 (2021), no. 5, 3111–3127. Search in Google Scholar

NOCKOWSKA-ROSIAK, M.: Bounded solutions and asymptotic stability of nonlinear second-order neutral difference equations with quasi-differences, Turkish J. Math. 42 (2018), no. 4, 1956–1969. DOI: 10.3906/mat-1708–29. Open DOISearch in Google Scholar

ŘEHÁK, P.: Asymptotic formulae for solutions of linear second order difference equations, J. Difference Equ. Appl. 22 (2016), no. 1, 107–139. DOI:10.1080/10236198.2015.1077815 Open DOISearch in Google Scholar

eISSN:
1338-9750
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
3 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines