Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments
This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using the technique of Riccati transformation and comparison principles with the second-order differential equations, we obtain a new ...
Osama Moaaz +2 more
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The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential ...
Rongrong Guo, Qingdao Huang, Qingmin Liu
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On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order
In this paper, we derive new properties for the decreasing positive solutions of half-linear delay differential equations of even order. The positive-decreasing solutions have a great influence on the study of qualitative properties, which include ...
Ghada AlNemer +3 more
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Higher-order finite-difference methods for partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Oscillatory Properties of Solutions of Even-Order Differential Equations [PDF]
This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using Riccati transformation and the integral averaging technique, we obtain a new oscillation criteria. This new theorem complements and improves some known results from the literature.
Elmetwally M. Elabbasy +3 more
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A New Approach in the Study of Oscillation Criteria of Even-Order Neutral Differential Equations
Based on the comparison with first-order delay equations, we establish a new oscillation criterion for a class of even-order neutral differential equations. Our new criterion improves a number of existing ones. An illustrative example is provided.
Osama Moaaz +2 more
doaj +1 more source
Asymptotic Behavior of Solutions of Even-Order Advanced Differential Equations [PDF]
In this paper, we establish the qualitative behavior of the even-order advanced differential equationaυyκ−1υβ′+∑i=1jqiυgyηiυ=0, υ≥υ0. The results obtained are based on the Riccati transformation and the theory of comparison with first- and second-order equations.
Omar Bazighifan, Hijaz Ahmad
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New oscillation theorems for a class of even-order neutral delay differential equations
In this work, we study the oscillatory behavior of even-order neutral delay differential equations υ n ( l ) + b ( l ) u ( η ( l ) ) = 0 $\upsilon ^{n}(l)+b(l)u(\eta (l))=0$ , where l ≥ l 0 $l\geq l_{0}$ , n ≥ 4 $n\geq 4$ is an even integer and υ = u + a
Mona Anis, Osama Moaaz
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