Results 11 to 20 of about 759,444 (330)
Improved Oscillation Theorems for Even-Order Quasi-Linear Neutral Differential Equations
Symmetry, 2023 In this study, our goal was to establish improved inequalities that enhance the asymptotic and oscillatory behaviors of solutions to even-order neutral differential equations.
Yousef Alnafisah +3 more
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Electronic Journal of Differential Equations, 2023 In this work first we transform the semi-noncanonical fourth order neutral delay differential equations into canonical type. This simplifies the investigations of finding the relationships between the solution and its companion function which plays an ...
G. Purushothaman +3 more
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Neutral Operator and Neutral Differential Equation [PDF]
Abstract and Applied Analysis, 2011 In this paper, we discuss the properties of the neutral operator (Ax)(t) = x(t) − cx(t − δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of (positive) periodic solutions to two kinds of second‐order differential equations with the prescribed
Jingli Ren, Zhibo Cheng, Stefan Siegmund
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An Oscillation Test for Solutions of Second-Order Neutral Differential Equations of Mixed Type
Mathematics, 2021 It is easy to notice the great recent development in the oscillation theory of neutral differential equations. The primary aim of this work is to extend this development to neutral differential equations of mixed type (including both delay and advanced ...
Osama Moaaz, Ali Muhib, Shyam S. Santra
doaj +1 more source
Symmetry, 2022 The main purpose of this research was to use the comparison approach with a first-order equation to derive criteria for non-oscillatory solutions of fourth-order nonlinear neutral differential equations with p Laplacian operators. We obtained new results
B. Almarri +5 more
semanticscholar +1 more source
Neutral set differential equations [PDF]
Czechoslovak Mathematical Journal, 2015 The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type {DHX(t)= F(t,Xt,DHXt), where F: [0, b] x Co x 4-) K(E) is a given function, K(E) is the family of all nonempty compact and convex subsets of a separable Banach space E, Co denotes the space of all continuous ...
Abbas, Umber +3 more
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Neutral Differential Equations of Second-Order: Iterative Monotonic Properties
Mathematics, 2022 In this work, we investigate the oscillatory properties of the neutral differential equation (r(l)[(s(l)+p(l)s(g(l)))′]v)′+∑i=1nqi(l)sv(hi(l))=0, where s≥s0.
O. Moaaz +5 more
semanticscholar +1 more source
Third-order neutral differential equations of the mixed type: Oscillatory and asymptotic behavior.
Mathematical biosciences and engineering : MBE, 2022 In this work, by using both the comparison technique with first-order differential inequalities and the Riccati transformation, we extend this development to a class of third-order neutral differential equations of the mixed type. We present new criteria
B. Qaraad +5 more
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Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation
Journal of mathematics, 2021 The main purpose of this study is to establish new improved conditions for testing the oscillation of solutions of second-order neutral differential equation
O. Moaaz +4 more
semanticscholar +1 more source
New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations
Mathematics, 2021 In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the ...
O. Moaaz +4 more
semanticscholar +1 more source