Volume 2, Issue 2, December 2018, Pages: 63-67
Received: Oct. 1, 2018;
Accepted: Oct. 16, 2018;
Published: Nov. 5, 2018
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Omar Bazighifan, Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout, Yemen
Elmetwally Elabbasy, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
Osama Moaaz, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
In this paper, new an oscillation criterion for a class of fourth-order nonlinear delay differential equations are established by using the double generalized Riccatti substitutions. Recently, there has been increasing interest related to the theory of delay differential equations (DDEs), this has been attributed to the important of understanding of application in delay differential equations. Recent applications that include delay differential equations continue to appear with increasing frequency in the modeling of diverse phenomena in physics, biology, ecology, and physiology. So, other authors have been attracted to finding the solutions of the differential equations or deducing important characteristics of them has received the attention of many authors. The solution to this equation is important in order to understand these issues and phenomena, or at least to know the characteristics of the solutions to these equations. But, differential equations such as those used to solve real life problems may not necessarily be directly solvable, i.e., do not have closed form solutions. The main objective of this work is to provide an opportunity to study the new trends and analytical insights of the delay differential equations, existence and uniqueness of the solutions, boundedness and persistence, oscillatory behavior of the solutions, stability and bifurcation analysis, parameter estimations and sensitivity analysis, and numerical investigations of solutions. One objective of our paper is to further simplify and complement some well-known results which were published recently in the literature. An illustrative example is included.
Qualitative Behavior for Fourth-Order Nonlinear Differential Equations, Engineering Mathematics.
Vol. 2, No. 2,
2018, pp. 63-67.
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