Detail projektu

Diferenční rovnice a dynamické rovnice na "time scales"

Období řešení: 26.3.2003 — 31.12.2006

Zdroje financování

Grantová agentura České republiky - Standardní projekty

Grantová agentura České republiky - Standardní projekty

Označení

GA201/04/0580

Originální jazyk

čeština

Řešitelé

Diblík Josef, prof. RNDr., DrSc. - hlavní řešitel

Útvary

Ústav matematiky
- odpovědné pracoviště (17.3.2003 - nezadáno)
Ústav matematiky
- příjemce (17.3.2003 - nezadáno)

Výsledky

BAŠTINEC, J.; DIBLÍK, J. Initial data generating solutions with prescribed asymptotic behaviour of difference equations with monotonic right-hand side. Brno: Universita obrany, Brno, 2005. p. 29 ( p.)
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DIBLÍK, J., SMÉKAL, Z. O řešení diferenční rovnice y (n+2) - 1,25y (n+1) + 0,78125y (n) = x (n+2) - x(n). Elektrorevue - Internetový časopis (http://www.elektrorevue.cz), 2005, roč. 2005, č. 1, s. 1 ( s.)ISSN: 1213-1539.
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DIBLÍK, J. Asymptotic behaviour of solutions of discrete equations. Functional Differential Equations, 2004, vol. 11(2004), no. 1, p. 37-48. ISSN: 0793-1786.
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DIBLÍK, J. Anti-Lyapunov method for systems of discrete equations. Nonlinear Analysis, Theory, Methods and Applications, 2004, vol. 2004, no. 57, p. 1043-1057. ISSN: 0362-546X.
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DIBLÍK, J.; KHUSAINOV, D. Representation of solutions of linear discrete systems with constant coefficients and pure delay. Advances in Difference Equations, 2007, vol. 2006, no. 4, p. 1-13. ISSN: 1687-1839.
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DIBLÍK, J.; VÁCLAVÍKOVÁ, B. Bounded solutions of discrete equations on discrete real time scales. Functional Differential Equations, 2007, vol. 14, no. 1, p. 67-82. ISSN: 0793-1786.
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RŮŽIČKOVÁ, V. Perturbation of discrete quadratic functionals. Tatra Mountains Mathematical Publications, 2007, vol. 38, no. 1, p. 229-241. ISSN: 1210-3195.
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BAŠTINEC, J.; DIBLÍK, J.; RŮŽIČKOVÁ, M. Initial data generating bounded solutions of linear discrete equations. Opuscula Mathematica, 2007, vol. 26(2006), no. 3, p. 395-406. ISSN: 1232-9274.
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BAŠTINEC, J.; DIBLÍK, J. On initial data generating bounded solutions of linear discrete equations II. Journal of Applied Mathematics, 2008, vol. 1(2008), no. 1, p. 111-116. ISSN: 1337-6365.
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DIBLÍK, J.; HLAVIČKOVÁ, I.; RŮŽIČKOVÁ, M. A General Version of the Retract Method for Discrete Equations. Acta Mathematica Sinica, 2007, vol. 23, no. 2, p. 341-348. ISSN: 1439-8516.
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HILSCHER, R.; RŮŽIČKOVÁ, V. Implicit Riccati equations and quadratic functionals for discrete symplectic systems. International Journal of Difference Equations, 2006, vol. 1, no. 1, p. 135-154. ISSN: 0973-6069.
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HILSCHER, R.; RŮŽIČKOVÁ, V. Riccati inequality and other results for discrete symplectic systems. Journal of Mathematical Analysis and Application, 2006, vol. 322, no. 2, p. 1083-1098. ISSN: 0022-247X.
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DIBLÍK, J.; MIGDA, M.; SCHMEIDEL, E. Bounded solutions of nonlinear discrete equations. Nonlinear Analysis, Theory, Methods and Applications, 2006, vol. 65 (2006), no. 1, p. 845 ( p.)ISSN: 0362-546X.
Detail

DIBLÍK, J.; KHUSAINOV, D. Representation of solutions of discrete delayed system x(k+1)=Ax(k)+Bx(k-m)+f(k). Journal of Mathematical Analysis and Application, 2006, vol. 2006, no. 318, p. 63-76. ISSN: 0022-247X.
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BAŠTINEC, J.; DIBLÍK, J. Remark on positive solutions of discrete equations Delta u(k+n)= -p(k)u(k). Nonlinear Analysis, Theory, Methods and Applications, 2005, vol. 63(2005), no. 11, p. 2145-2151. ISSN: 0362-546X.
Detail

DIBLÍK, J.; HLAVIČKOVÁ, I. Compulsory asymptotic behaviour of solutions of system of three discrete equations. In Proceedings of the International Conference "Difference Equations, Special Functions and Orthogonal Polynomials,". New Jersey, London: World Scientific, 2007. p. 149-158. ISBN: 981-270-643-7.
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DIBLÍK, J.; BAŠTINEC, J. Existence of positive solutions of discrete delayed equations. In 6th International Conference APLIMAT 2007. Bratislava: FME STU, 2007. p. 143 ( p.)
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BAŠTINEC, J.; DIBLÍK, J. Positive Solutions of Delayed Discrete Equations. In 5th International Conference APLIMAT, part II. Bratislava: FME SUT Bratislava, 2006. p. 209 ( p.)ISBN: 80-967305-5-X.
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DIBLÍK, J.; GRITSAY, I.; KHUSAINOV, D. Relative controllability of linear discrete systems with constant coefficients and pure delay. In International Conference on Difference Equations, Special Functions and Applications, Conference Booklet. Mnichov, SRN: ICDEA, 2006. p. 148 ( p.)
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HILSCHER, R.; RŮŽIČKOVÁ, V. Perturbation of nonnegative time scale quadratic functionals. In DIFFERENCE EQUATIONS, SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS Proceedings of the International Conference. 2007. p. 266-275. ISBN: 978-981-270-643-0.
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