Approximate Controllability of a Fractional Neutral Differential System with Deviated Argument in a Banach Space
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DOI: 10.1007/s12591-015-0237-y
Abstract: In this paper, a fractional order neutral differential equation with deviated argument is studied. The existence and uniqueness of mild solution are obtained by using Banach contraction principle without imposing additional assumptions such as compactness,… read more here.
Keywords: controllability fractional; deviated argument; neutral differential; approximate controllability ... See more keywords
Asymptotic behavior of second order neutral differential equation with positive and negative coefficients and impulses effects
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DOI: 10.1080/09720502.2019.1706859
Abstract: Abstract The paper focused on the asymptotic behavior property of solutions of the second order impulsive neutral differential equations with positive and negative coefficients and with impulsive integral term. Some sufficient conditions have been secured… read more here.
Keywords: asymptotic behavior; positive negative; neutral differential; second order ... See more keywords
Homoclinic solutions for n-dimensional p-Laplacian neutral differential systems with a time-varying delay
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DOI: 10.1186/s13662-018-1889-z
Abstract: In this paper, we investigate the existence of a set with 2kT$2kT$-periodic solutions for n-dimensional p-Laplacian neutral differential systems with a time-varying delay (φp(u(t)−Cu(t−τ))′)′+ddt∇F(u(t))+G(u(t−γ(t)))=ek(t)$(\varphi_{p}(u(t)-Cu(t-\tau ))')'+ \frac{d}{dt}\nabla F(u(t))+G(u(t-\gamma (t)))=e_{k}(t)$ based on the coincidence degree theory of… read more here.
Keywords: laplacian neutral; neutral differential; differential systems; dimensional laplacian ... See more keywords
A New Investigation on Fractional-Ordered Neutral Differential Systems with State-Dependent Delay
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DOI: 10.1515/ijnsns-2018-0362
Abstract: Abstract Fractional differential equations with delay behaviors occur in fields like physical and biological ones with state-dependent delay or nonconstant delay and has drawn the attention of researchers. The main goal of the present work… read more here.
Keywords: neutral differential; state dependent; dependent delay; delay ... See more keywords
Periodic solution for ϕ-Laplacian neutral differential equation
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DOI: 10.1515/math-2019-0019
Abstract: Abstract This paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows (ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)). $$\begin{array}{} (\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)). \end{array}$$ By applications of an extension of Mawhin’s continuous theorem due to Ge… read more here.
Keywords: laplacian neutral; periodic solution; neutral differential; solution ... See more keywords
Neutral Differential Equations of Fourth-Order: New Asymptotic Properties of Solutions
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DOI: 10.3390/axioms11020052
Abstract: In this work, we will derive new asymptotic properties of the positive solutions of the fourth-order neutral differential equation with the non-canonical factor. We follow an improved approach that enables us to create oscillation criteria… read more here.
Keywords: new asymptotic; fourth order; neutral differential; differential equations ... See more keywords
A Study of the Monotonic Properties of Solutions of Neutral Differential Equations and Their Applications
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DOI: 10.3390/axioms12040346
Abstract: In this paper, we aim to study the monotonic properties of the solutions of a class of neutral delay differential equations. The importance of this study lies in the fact that the monotonic properties largely… read more here.
Keywords: solutions neutral; neutral differential; monotonic properties; properties solutions ... 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
An Approach for Studying Asymptotic Properties of Solutions of Neutral Differential Equations
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DOI: 10.3390/sym12040555
Abstract: The paper is devoted to the study of oscillation of even-order neutral differential equations. New Kamenev-type oscillation criteria are established, and they essentially improve and complement some the well-known results reported in the literature. Ideas… read more here.
Keywords: properties solutions; neutral differential; studying asymptotic; approach studying ... See more keywords
Symmetric and Non-Oscillatory Characteristics of the Neutral Differential Equations Solutions Related to p-Laplacian Operators
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DOI: 10.3390/sym14030566
Abstract: 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… read more here.
Keywords: symmetric non; neutral differential; non oscillatory; oscillatory characteristics ... See more keywords
Third-Order Neutral Differential Equations with Damping and Distributed Delay: New Asymptotic Properties of Solutions
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DOI: 10.3390/sym14102192
Abstract: In this paper, we are interested in studying the oscillation of differential equations with a damping term and distributed delay. We establish new criteria that guarantee the oscillation of the third-order differential equation in terms… read more here.
Keywords: distributed delay; equations damping; neutral differential; third order ... See more keywords