Some oscillation properties of third order linear homogeneous differential equations
Shair Ahmad, Abdelali Benharbit (1975)
Annales Polonici Mathematici
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Shair Ahmad, Abdelali Benharbit (1975)
Annales Polonici Mathematici
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Umberto Neri (1977)
Studia Mathematica
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Jonathan Poelhuis, Alberto Torchinsky (2012)
Studia Mathematica
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We consider properties of medians as they pertain to the continuity and vanishing oscillation of a function. Our approach is based on the observation that medians are related to local sharp maximal functions restricted to a cube of ℝⁿ.
Koplatadze, R., Partsvania, N. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Partsvania, N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Manabu Naito (2025)
Archivum Mathematicum
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It is shown that oscillation of perturbed second order half-linear differential equations can be derived from oscillation of second order linear differential equations associated with modified Riccati equations. In the main result of the present paper, some of technical assumptions in the known results of this type are removed.
Hishyar, Abdullah Kh., Al Dosary, K.T. (2003)
APPS. Applied Sciences
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Pavlović, Miroslav (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Liu, Wei-Ling, Li, Horng-Jaan (1996)
Journal of Applied Analysis
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Shlomo Breuer, David Gottlieb (1975)
Annales Polonici Mathematici
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El-Sayed, M.A. (1994)
International Journal of Mathematics and Mathematical Sciences
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Bozena Mihalíková (1999)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The aim of this paper is to present the sufficient conditions for oscillation of solutions of the system of differential equations of neutral type.