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Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions |
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| Authors: | Ravi P Agarwal Omar Bazighifan Maria Alessandra Ragusa |
| Institution: | 1.Department of Mathematics, Texas A and M University, Kingsville, TX 78363, USA;2.Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen;3.Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen;4.Department of Mathematics and Computer Science, University of Catania, 95124 Catania, Italy;5.RUDN University, 6 Miklukho, Maklay St, Moscow 117198, Russia |
| Abstract: | The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included. |
| Keywords: | neutral differential equations oscillation fourth-order differential equation p-Laplacian equations |