Oscillation criteria for nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments.
Liu, Xinzhi, Fu, Xilin (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Liu, Xinzhi, Fu, Xilin (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Tongxing Li, Yuriy V. Rogovchenko, Chenghui Zhang (2015)
Mathematica Bohemica
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We study oscillatory behavior of a class of fourth-order quasilinear differential equations without imposing restrictive conditions on the deviated argument. This allows applications to functional differential equations with delayed and advanced arguments, and not only these. New theorems are based on a thorough analysis of possible behavior of nonoscillatory solutions; they complement and improve a number of results reported in the literature. Three illustrative examples are presented. ...
Dahiya, R.S., Zafer, A. (2007)
Journal of Inequalities and Applications [electronic only]
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Koplatadze, R., Partsvania, N. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Giorgadze, G. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Jozef Džurina (2001)
Mathematica Slovaca
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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.
Hishyar, Abdullah Kh., Al Dosary, K.T. (2003)
APPS. Applied Sciences
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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.