Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ordinary differential equations with constant coefficients

• Autorzy: Jan Andres , Tomá Turský
• Języki publikacji: EN

Abstrakty

EN

Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ODEs with constant coefficients are obtained, provided the associated characteristic polynomial is (asymptotically) stable. Assuming, additionally, the stability of the so called "shifted polynomials" (see below) to the characteristic one, the estimates can be still improved.

Słowa kluczowe

EN

Asymptotic estimates; nonhomogeneous equations; inverse operator method; Esclangon's technique

Kategorie tematyczne

• 34D05: Asymptotic properties
• 34A30: Linear equations and systems, general

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1996
• Tom: 16
• Numer: 1
• Strony: 75-89

Daty

wydano

1996

Twórcy

autor

Jan Andres

• Dept. of Math. Analysis, Fac. of Science, Palacký University, Tomkova 40, 779-00 Olomouc-Hejín, Czech Republic

autor

Tomá Turský

• Dept. of Math. Analysis, Fac. of Science, Palacký University, Tomkova 40, 779-00 Olomouc-Hejín, Czech Republic

Bibliografia

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