How to find initial data generating bounded solutions of discrete equations
By: Irena Hlavičková
Open Access
|Nov 2012References
- [1] AGARWAL, R. P.: Difference Equations and Inequalities, Theory, Methods, and Appli- cations (2nd ed.), Marcel Dekker, New York, 2000.
- [2] BAˇ STINEC, J.-DIBL´IK, J.: Asymptotic formulae for a particular solution of linear nonhomogeneous discrete equations, Comput. Math. Appl. 45 (2003), 1163-1169.
- [3] BAˇ STINEC, J.-DIBL´IK, J.-R°U ˇ Z I ˇC KOV´A, M.: Initial data generating bounded solu- tions of linear discrete equations, Opuscula Math. 26 (2006), 395-406.
- [4] DIBL´IK, J.: Discrete retract principle for systems of discrete equations, Comput. Math. Appl. 42 (2001), 515-528.
- [5] DIBL´IK, J.: Anti-Lyapunov method for systems of discrete equations, Nonlinear Anal. 57 (2004), 1043-1057.
- [6] DIBL´IK, J.: Asymptotic behaviour of solutions of discrete equations, Funct. Differ. Equ. 11 (2004), 37-48.
- [7] DIBL´IK, J.-MIGDA, M.-SCHMEIDEL, E.: Bounded solutions of nonlinear discrete equations, Nonlinear Anal. 65 (2006), 845-853.
- [8] DIBL´IK, J.-R°U ˇ Z I ˇC KOV´A , M.-V´ACLAV´IKOV´A, B.: A retract principle on discrete time scales, Opuscula Math. 26 (2006), 445-455.
- [9] DIBL´IK, J.-R°U ˇZ I ˇC KOV´A, I.-R°U ˇZ I ˇC KOV´A, M.: A general version of the retract method for discrete equations, Acta Math. Sin. (Engl. Ser.) 23 (2007), 341-348.
- [10] DIBL´IK, J.-HLAVIˇC KOV´A, I.: Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations, Dynam. Systems Appl. 18 (2009), 507-537.
- [11] DIBL´IK, J.-R°U ˇZ I ˇC KOV´A, M.-ˇSMARDA, Z.: Wa˙zewski’s method for systems of dy- namic equations on time scales, Nonlinear Anal. 71 (2009), 1124-1131.
- [12] HLAVIˇC KOV´A, I.: Bisection method for finding initial data generating bounded solutions of discrete equations, Aplimat - J. Appl. Math. 3 (2010), 99-105.
- [13] WA˙ZEWSKI, T.: Sur un principe topologique de l’examen de l’allure asymptotique des int´egrales des ´equations diff´erentielles ordinaires, Ann. Soc. Polon. Math. 20 (1948), 279-313.
DOI: https://doi.org/10.2478/v10127-011-0008-2 | Journal eISSN: 1338-9750 (formerly 1210-3195) | Journal ISSN: 1210-3195
Language: English
Page range: 83 - 90
Published on: Nov 13, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2012 Irena Hlavičková, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.