Existence of positive periodic solutions of first‐order neutral differential equations
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DOI: 10.1002/mma.3981
Abstract: This paper presents the existence of positive periodic solutions for first-order neutral differential equation with distributed deviating arguments. We apply Krasnoselskii's fixed point theorem to obtain our results. An example is given to support the… read more here.
Keywords: order neutral; solutions first; first order; periodic solutions ... See more keywords
Oscillation criteria for third order neutral Emden–Fowler delay dynamic equations on time scales
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DOI: 10.1007/s12190-016-1031-x
Abstract: This paper is concern with a class of third-order neutral Emden–Fowler dynamic equation $$\begin{aligned} (a((rz^\Delta )^\Delta )^\alpha )^\Delta (t)+q(t)x^\alpha (\delta (t))=0, \end{aligned}$$(a((rzΔ)Δ)α)Δ(t)+q(t)xα(δ(t))=0,where $$z(t):=x(t)+p(t)x(\tau (t)), \alpha $$z(t):=x(t)+p(t)x(τ(t)),α is a quotient of odd positive integers. By generalized… read more here.
Keywords: neutral emden; order neutral; third order; emden fowler ... See more keywords
Oscillation theorems for second order neutral dynamic equations with maxima and mixed arguments on time scales
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DOI: 10.1080/09720502.2020.1756047
Abstract: Abstract In this work, we establish new oscillation criteria for the second order neutral dynamic equation with maxima and mixed arguments of the form: where New comparison theorems are obtained that allow us to examine… read more here.
Keywords: order neutral; order; maxima mixed; second order ... See more keywords
Existence of nonoscillatory solutions for system of higher-order neutral differential equations with distributed coefficients and delays
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DOI: 10.1186/s13662-016-1061-6
Abstract: In this paper we consider the existence of nonoscillatory solutions for a system of higher-order neutral differential equations with distributed coefficients and delays. We use the Banach$Banach$ contraction principle to obtain new sufficient conditions for… read more here.
Keywords: order neutral; existence nonoscillatory; higher order; solutions system ... See more keywords
Multiple periodic solutions for a class of second-order neutral functional differential equations
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DOI: 10.1186/s13662-016-1064-3
Abstract: In this paper we consider a class of second-order neutral functional differential equations. Under certain conditions, we establish the existence of multiple periodic solutions by means of Z2$Z_{2}$ group index theory and variational methods. The… read more here.
Keywords: order neutral; second order; neutral functional; differential equations ... See more keywords
On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments
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DOI: 10.1186/s13662-017-1396-7
Abstract: This paper provides a method of finding periodical solutions of the second-order neutral delay differential equations with piecewise constant arguments of the form x″(t)+px″(t−1)=qx(2[t+12])+f(t)$x''(t)+px''(t-1)=qx(2[\frac{t+1}{2}])+f(t)$, where [⋅]$[\cdot]$ denotes the greatest integer function, p and q are… read more here.
Keywords: order neutral; solutions second; second order; method finding ... See more keywords
New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations
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DOI: 10.3390/math9192388
Abstract: 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 existence of the… read more here.
Keywords: order neutral; results oscillation; new improved; fourth order ... See more keywords
Behavior of Non-Oscillatory Solutions of Fourth-Order Neutral Differential Equations
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DOI: 10.3390/sym12030477
Abstract: In this paper, we deal with the asymptotics and oscillation of the solutions of fourth-order neutral differential equations of the form r t z ‴ t α ′ + q t x α g t… read more here.
Keywords: order neutral; neutral differential; solutions fourth; fourth order ... See more keywords
New Results for Oscillation of Solutions of Odd-Order Neutral Differential Equations
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DOI: 10.3390/sym13061095
Abstract: Differential equations with delay arguments are one of the branches of functional differential equations which take into account the system’s past, allowing for more accurate and efficient future prediction. The symmetry of the equations in… read more here.
Keywords: order neutral; results oscillation; new results; differential equations ... See more keywords
On the Asymptotic Behavior of Class of Third-Order Neutral Differential Equations with Symmetrical and Advanced Argument
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DOI: 10.3390/sym15061165
Abstract: In this paper, we aimed to study some asymptotic properties of a class of third-order neutral differential equations with advanced argument in canonical form. We provide new and simplified oscillation criteria that improve and complement… read more here.
Keywords: advanced argument; neutral differential; third order; class third ... See more keywords