Some Oscillation Problems for a Second Order Linear Delay Differential Equation |
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| Authors: | L Berezansky E Braverman |
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| Affiliation: | aDepartment of Mathematics and Computer Science, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel;bDepartment of Computer Science, Technion-Israel Institute of Technology, Haifa, 32000, Israel |
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| Abstract: | For the delay differential equation[formula]a connection between the following properties is established: non-oscillation of the differential equation and the corresponding differential inequality, positiveness of the fundamental function, and the existence of a nonnegative solution of a generalized Riccati inequality. Explicit conditions for non-oscillation and oscillation and comparison theorems are presented. |
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