The oscillation of linear first order differential systems.
Hishyar, Abdullah Kh., Al Dosary, K.T. (2003)
APPS. Applied Sciences
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Hishyar, Abdullah Kh., Al Dosary, K.T. (2003)
APPS. Applied Sciences
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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.
Liu, Wei-Ling, Li, Horng-Jaan (1996)
Journal of Applied Analysis
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Umberto Neri (1977)
Studia Mathematica
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Jozef Džurina (2001)
Mathematica Slovaca
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Dahiya, R.S., Zafer, A. (2007)
Journal of Inequalities and Applications [electronic only]
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Elabbasy, E. (1997)
Serdica Mathematical Journal
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Oscillation criteria are given for the second order sublinear non-autonomous differential equation. (r(t) (x)x′(t))′ + q(t)g(x(t)) = (t). These criteria extends and improves earlier oscillation criteria of Kamenev, Kura, Philos and Wong. Oscillation criteria are also given for second order sublinear damped non-autonomous differential equations.
Koplatadze, R., Partsvania, N. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Nurten Kiliç, Özkan Öcalan, Mustafa Kemal Yildiz (2024)
Archivum Mathematicum
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This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.