perturbations in delay differential equations.
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Castillo, Samuel, Pinto, Manuel (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Günzler, Hans (1999)
Journal of Inequalities and Applications [electronic only]
Kaymakçalan, B., Zafer, A. (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Wojciech Kozł (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We investigate Laplace type operators in the Euclidean space. We give a purely algebraic proof of the theorem on existence and uniqueness (in the space of polynomial forms) of the Dirichlet boundary problem for a Laplace type operator and give a method of determining the exact solution to that problem. Moreover, we give a decomposition of the kernel of a Laplace type operator into -irreducible subspaces.
Z. Mikołajska (1984)
Annales Polonici Mathematici
N. Parhi, S. Panigrahi (2002)
Czechoslovak Mathematical Journal
A Liapunov-type inequality for a class of third order delay-differential equations is derived.
Anane, Aomar, Chakrone, Omar, Moutaouekkil, Loubna (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
De Pascale, Luigi (1999)
Zeitschrift für Analysis und ihre Anwendungen
Balan, Vladimir, Nicola, Ileana Rodica (2006)
International Journal of Mathematics and Mathematical Sciences
Milan Tvrdý (1975)
Czechoslovak Mathematical Journal
Ahmad, Faiz (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
B. Stankovic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
Jan Čermák (2000)
Archivum Mathematicum
Čermák, Jan, Kundrát, Petr (2004)
Abstract and Applied Analysis
Rodolfo Collegari, Márcia Federson, Miguel Frasson (2018)
Czechoslovak Mathematical Journal
We present a variation-of-constants formula for functional differential equations of the form where is a bounded linear operator and is a regulated function. Unlike the result by G. Shanholt (1972), where the functions involved are continuous, the novelty here is that the application is Kurzweil integrable with in an interval of , for each regulated function . This means that may admit not only many discontinuities, but it can also be highly oscillating and yet, we are able to obtain...
Agarwal, Ravi P., Rontó, Andrei (2005)
Journal of Inequalities and Applications [electronic only]
Zdzisław Denkowski (1970)
Annales Polonici Mathematici
Xia, Ningmao (1986)
International Journal of Mathematics and Mathematical Sciences
Stubbe, Joachim (1989)
Portugaliae mathematica
Xinping Guan, Sui Sun Cheng (1996)
Annales Polonici Mathematici
A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.
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