asymptotic equivalence for some functional equation of Volterra type.
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Olaru, Marian, Olaru, Vasilica (2006)
General Mathematics
Scimiterna, Christian, Levi, Decio (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Michael Šebek (1987)
Kybernetika
Mihály Pituk, John Ioannis Stavroulakis (2025)
Czechoslovak Mathematical Journal
A well-known shadowing theorem for ordinary differential equations is generalized to delay differential equations. It is shown that a linear autonomous delay differential equation is shadowable if and only if its characteristic equation has no root on the imaginary axis. The proof is based on the decomposition theory of linear delay differential equations.
Panetta, John Carl (1998)
Journal of Theoretical Medicine
Wantong Li (1997)
Annales Polonici Mathematici
A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
Li, Wenrong, Cheng, Sui Sun, Lu, Tzon Tzer (2001)
Applied Mathematics E-Notes [electronic only]
G. Hetzer, V. Stallbohm (1976)
Publications de l'Institut Mathématique
V. Stallbohm, G. Hetzer (1976)
Publications de l'Institut Mathématique [Elektronische Ressource]
Dimovski, Ivan, Hristov, Valentin, Sifi, Mohamed (2006)
Fractional Calculus and Applied Analysis
2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80The Dunkl operators.* Supported by the Tunisian Research Foundation under 04/UR/15-02.
Vincent Šoltés (1996)
Mathematica Slovaca
Yan, Jurang (1997)
Portugaliae Mathematica
Koplatadze, R. (1998)
Memoirs on Differential Equations and Mathematical Physics
Koplatadze, R. (1999)
Memoirs on Differential Equations and Mathematical Physics
Miroslava Růžičková (1997)
Mathematica Bohemica
We are interested in comparing the oscillatory and asymptotic properties of the equations with those of the equations
Jozef Džurina (1995)
Mathematica Slovaca
Ch. Athanasiadis (1992)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Jozef Džurina (1994)
Mathematica Bohemica
In this paper the oscillatory and asymptotic properties of the solutions of the functional differential equation are compared with those of the functional differential equation .
Li, Tongxing (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Jozef Džurina, Renáta Kotorová (2009)
Czechoslovak Mathematical Journal
In this paper we study asymptotic properties of the third order trinomial delay differential equation by transforming this equation to the binomial canonical equation. The results obtained essentially improve known results in the literature. On the other hand, the set of comparison principles obtained permits to extend immediately asymptotic criteria from ordinary to delay equations.
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