A survey on the oscillation of solutions of first order linear differential equations with deviating arguments.
Wang, Zhicheng, Stavroulakis, Ioannis P., Qian, Xiangzheng (2002)
Applied Mathematics E-Notes [electronic only]
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Wang, Zhicheng, Stavroulakis, Ioannis P., Qian, Xiangzheng (2002)
Applied Mathematics E-Notes [electronic only]
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Li, Xianyi, Zhu, Deming, Wang, Hanqing (2003)
International Journal of Mathematics and Mathematical Sciences
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Jian She Yu (1994)
Czechoslovak Mathematical Journal
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Džurina, J., Komariková, R. (2011)
Abstract and Applied Analysis
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Zhang, Siyu, Meng, Fanwei (2010)
International Journal of Differential Equations
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Baculíková, B. (2011)
Abstract and Applied Analysis
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Tanaka, Satoshi (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Satoshi Tanaka (2000)
Annales Polonici Mathematici
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Neutral differential equations are studied. Sufficient conditions are obtained to have oscillatory solutions or nonoscillatory solutions. For the existence of solutions, the Schauder-Tikhonov fixed point theorem is used.
Graef, John R., Savithri, R., Thandapani, E. (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ján Ohriska (2008)
Open Mathematics
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The aim of this paper is to derive sufficient conditions for the linear delay differential equation (r(t)y′(t))′ + p(t)y(τ(t)) = 0 to be oscillatory by using a generalization of the Lagrange mean-value theorem, the Riccati differential inequality and the Sturm comparison theorem.