Accès libre

How to find initial data generating bounded solutions of discrete equations

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications 2010
À propos de cet article

Citez

[1] AGARWAL, R. P.: Difference Equations and Inequalities, Theory, Methods, and Appli- cations (2nd ed.), Marcel Dekker, New York, 2000.10.1201/9781420027020Search in Google Scholar

[2] BAˇ STINEC, J.-DIBL´IK, J.: Asymptotic formulae for a particular solution of linear nonhomogeneous discrete equations, Comput. Math. Appl. 45 (2003), 1163-1169.10.1016/S0898-1221(03)00077-4Search in Google Scholar

[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.Search in Google Scholar

[4] DIBL´IK, J.: Discrete retract principle for systems of discrete equations, Comput. Math. Appl. 42 (2001), 515-528.10.1016/S0898-1221(01)00174-2Search in Google Scholar

[5] DIBL´IK, J.: Anti-Lyapunov method for systems of discrete equations, Nonlinear Anal. 57 (2004), 1043-1057.10.1016/j.na.2004.03.030Search in Google Scholar

[6] DIBL´IK, J.: Asymptotic behaviour of solutions of discrete equations, Funct. Differ. Equ. 11 (2004), 37-48.Search in Google Scholar

[7] DIBL´IK, J.-MIGDA, M.-SCHMEIDEL, E.: Bounded solutions of nonlinear discrete equations, Nonlinear Anal. 65 (2006), 845-853.10.1016/j.na.2005.10.014Search in Google Scholar

[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.Search in Google Scholar

[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), 341-348.10.1007/s10114-005-0729-8Search in Google Scholar

[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.Search in Google Scholar

[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), 1124-1131.10.1016/j.na.2009.01.098Search in Google Scholar

[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.Search in Google Scholar

[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.Search in Google Scholar

ISSN:
1210-3195
Langue:
Anglais
Périodicité:
3 fois par an
Sujets de la revue:
Mathematics, General Mathematics