Detail projektu

Diferenciální a funkcionálně-diferenciální rovnice

Období řešení: 01.01.1996 — 31.12.1996

Zdroje financování

Grantová agentura České republiky - Standardní projekty

- plně financující

O projektu

Popis anglicky
Qualitative properties of linear and nonlinear differential equations and systems, as well as functional - differential equations will be studied. Boundary - value problems for these equations and asymptotic behavior of solutions will be investigated. Special attention will be devoted to application of algebraic and geometrical methods, including the theory of functional equations.

Označení

GA201/96/0410

Originální jazyk

čeština

Řešitelé

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

Útvary

Ústav matematiky
- příjemce (01.01.1996 - nezadáno)

Výsledky

DIBLÍK, J. Bounded solutions of second order differential equation with constant delay. In Proceedings of the International Scientific Conference of Ma. Žilina, Slovensko: Žilinská universita, 1999. p. 33 ( p.)ISBN: 80-7100-57.
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BAŠTINEC, J., DIBLÍK, J. Three-points singular boundary-value problem. In Ninth International Colloquium on Differential Equations. Plovdiv: BAV Sofia, p. 16 ( p.)
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MOTLÍČEK, P. Modifikace Eulerovy metody pro rovnice se zpozdenym argumentem. In Volume of the works wirtten by students. Brno: 1996. s. 25 ( s.)
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ŠMARDA, Z. On a initial value problem for system of integro/ differential equations. In Abstract of invited lectures and short communications delivered at th seventh international colloquium on Differential equations. Plovdiv 1996: BAV Sofie, 1996. p. 56 ( p.)
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ŠMARDA, Z. Asymptotic curves of nonlinear integro-differential equations. In Abstract Modelling and investigation of systemsstability, Kijev 1997. Kijev. Technical university, 1997. p. 107 ( p.)
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ŠMARDA, Z. Asymptotic curves of nonlinear integro-differential equations of the n-th order. In Abstract of invited and short communicationsdelivered at the eight international colloquiumon differential equations. Plovdiv: BAV Plovdiv., 1997. p. 28 ( p.)
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ŠMARDA, Z. Singular implicit system of integro-differential equations depending on a parameter. In Workshop 97. Praha: 1997. p. 27 ( p.)
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HONZÁK, A. Výpočet dvojného integrálu metodou MONTE CARLO. In Sborník prací studentů a doktorandů. Brno: FEI VUT Brno, 1998. s. 72 ( s.)ISBN: 80-214-1141-4.
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BAŠTINEC, J., DIBLÍK, J. The singular De La Vallée-Poussin problem for differential equations of n-th order. In Proceedings of the International csientific conference of mathematics, Žilina, Slovakia, June 30 - July 3,1998. 1. Žilina: Žilina University Publisher, 1998. p. 7 ( p.)ISBN: 80-7100-578-9.
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DIBLÍK, J.; BAŠTINEC, J. Three-points singular boundary value problem. Mathematical Communications, 1998, vol. 3(1998), no. 2, p. 211-219. ISSN: 1331-0623.
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DIBLÍK, J. A multidimensional singular boundary value problem of the Cauchy-Nicoletti type. Georgian Mathematical Journal, 1997, vol. 4, no. 4, p. 303-312. ISSN: 1072-947X.
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BAŠTINEC, J., DIBLÍK, J. On existence of solutions of a singular Cauchy-Nicoletti problem of integro-differential equations. Demonstratio Mathematicae, roč. 30, č. 4, s. 747 ( s.)ISSN: 0420-1213.
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DIBLÍK, J. Asymptotic representation of solutions of equation y'(t)=b(t)(y(t)-y(t-T)). Journal of Mathematical Analysis and Application, 1998, vol. 1998, no. 217, p. 200-215. ISSN: 0022-247X.
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DIBLÍK, J. Asymptotic equilibrium for homogeneous delay linear differential equations with L-perturbation term. Nonlinear Analysis, Theory, Methods and Applications, 1997, vol. 30, no. 6, p. 3927-3933. ISSN: 0362-546X.
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DIBLÍK, J. Positive and oscillating solutions of differential equations with delay in critical case. Journal of Computational and Applied Mathematics, 1998, vol. 1998, no. 88, p. 185-202. ISSN: 0377-0427.
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DIBLÍK, J. Behaviour of solutions of linear differential equations with delay. ARCHIVUM MATHEMATICUM, 1998, vol. 34, no. 1, p. 31 ( p.)ISSN: 0044-8753.
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ŠMARDA, Z. On solutions of an implicit singular system of integro-differential equations depending on a parameter. Demonstratio Mathematicae, 1998, vol. 31, no. 1, p. 125 ( p.)ISSN: 0420-1213.
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DIBLÍK, J. Positive solutions of the equation x'=-c(t)x(t-r) in the critical case. Journal of Mathematical Analysis and Application, 2000, vol. 2000, no. 250, p. 635-659. ISSN: 0022-247X.
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BAŠTINEC, J., DIBLÍK, J. Three-point singular boundary-value problem for a system of three differential equations. Mathematical Communications, 1998, vol. 3, no. 2, p. 211 ( p.)ISSN: 1331-0623.
Detail

BAŠTINEC, J., DIBLÍK, J. On existence of solutions of a singular Cauchy-Nicoletti problem for a system of integro-differential equations. Demonstratio Mathematicae, 1997, vol. 30, no. 4, p. 747 ( p.)ISSN: 0420-1213.
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BAŠTINEC, J. Singular Cauchy-Nicoletti problems for systems of differential equations. Fasciculi Mathematici, 1997, vol. 27, no. 1, p. 5 ( p.)ISSN: 0044-4413.
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DIBLÍK, J. Asymptotic representation of solutions of equation dy(t)/dt=b(t)(y(t)-y(t-T)). Journal of Mathematical Analysis and Application, 1998, vol. 1998, no. 217, p. 200-215. ISSN: 0022-247X.
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DIBLÍK, J. Positive and oscilating solutions of differential equations with delay in critical case. Journal of Computational and Applied Mathematics, 1998, vol. 1998, no. 88, p. 185 ( p.)ISSN: 0377-0427.
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DIBLÍK, J. A criterion for existence of positive solutions of systems of retarded functional differential equations. Nonlinear Analysis, Theory, Methods and Applications, 1999, vol. 1999, no. 38, p. 327-339. ISSN: 0362-546X.
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BAŠTINEC, J., DIBLÍK, J. Three-point singular boundary-value problem for systém of three differential equations. In International Conference of Mathematics. Žilina: University of Žilina, p. 4 ( p.)
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ŠMARDA, Z. Initial and limit problems for nonlinear partial integro-differential equations. In Ninth International Colloquium on Differential Equations. Plovdiv: BAV Sofia, 1998. p. 180 ( p.)
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