Oscillations of n-th order retarded differential equations.
Yeh, Cheh-Chih (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Yeh, Cheh-Chih (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Árpád Elbert, Takaŝi Kusano, Tomoyuki Tanigawa (1997)
Archivum Mathematicum
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A second-order half-linear ordinary differential equation of the type is considered on an unbounded interval. A simple oscillation condition for (1) is given in such a way that an explicit asymptotic formula for the distribution of zeros of its solutions can also be established.
Ivan Mojsej, Ján Ohriska (2007)
Open Mathematics
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The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with quasiderivatives. We prove comparison theorems on property A between linear and nonlinear equations. Some integral criteria ensuring property A for nonlinear equations are also given. Our assumptions on the nonlinearity of f are restricted to its behavior only in a neighborhood of zero and a neighborhood of infinity.
Olusola Akinyele, Rajbir S. Dahiya (1990)
Archivum Mathematicum
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Marián Rusnák, Vincent Šoltés (1989)
Mathematica Slovaca
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Bartušek, Miroslav, Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro (2010)
Abstract and Applied Analysis
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Manojlović, Jelena, Tanigawa, Tomoyuki (2006)
Journal of Inequalities and Applications [electronic only]
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Ivan Mojsej, Ján Ohriska (2006)
Open Mathematics
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The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with deviating argument. In particular, we prove a comparison theorem for properties A and B as well as a comparison result on property A between nonlinear equations with and without deviating arguments. Our assumptions on nonlinearity f are related to its behavior only in a neighbourhood of zero and/or of infinity.