Existence of Nonoscillatory Solutions for Fractional Functional Differential Equations
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0511-y
Abstract: In this paper, we develop sufficient criteria for the existence of a nonoscillatory solution to the fractional neutral functional differential equation of the form: $$\begin{aligned} D^{\alpha }_t[x(t)+c x(t-\tau )]'+\sum ^m_{i=1}P_i(t)F_i(x(t-\sigma _i))=0,\quad t\ge t_0, \end{aligned}$$Dtα[x(t)+cx(t-τ)]′+∑i=1mPi(t)Fi(x(t-σi))=0,t≥t0,where $$D_t^{\alpha… read more here.
Keywords: functional differential; nonoscillatory solutions; solutions fractional; existence nonoscillatory ... See more keywords
An asymptotic analysis of nonoscillatory solutions of q-difference equations via q-regular variation
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DOI: 10.1016/j.jmaa.2017.05.034
Abstract: Abstract We do a thorough asymptotic analysis of nonoscillatory solutions of the q-difference equation D q ( r ( t ) D q y ( t ) ) + p ( t ) y (… read more here.
Keywords: difference; solutions difference; analysis nonoscillatory; analysis ... 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
Existence of nonoscillatory solutions tending to zero of third-order neutral dynamic equations on time scales
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DOI: 10.1186/s13662-020-02678-x
Abstract: We study the existence of nonoscillatory solutions tending to zero of a class of third-order nonlinear neutral dynamic equations on time scales by employing Krasnoselskii’s fixed point theorem. Two examples are given to illustrate the… read more here.
Keywords: existence nonoscillatory; third order; solutions tending; neutral dynamic ... See more keywords
Existence of nonoscillatory solutions to nonlinear higher-order neutral dynamic equations
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DOI: 10.1186/s13662-020-02928-y
Abstract: We investigate the existence of different types of nonoscillatory solutions to a class of higher-order nonlinear neutral dynamic equations on a time scale. Two examples are provided to show the significance of the conclusions. read more here.
Keywords: higher order; equations existence; neutral dynamic; nonoscillatory solutions ... See more keywords
Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach
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DOI: 10.14232/ejqtde.2018.1.92
Abstract: In this paper an attempt is made to depict a clear picture of the overall structure of nonoscillatory solutions of the first order half-linear differential system x′ − p(t)φ1/α(y) = 0, y′ + q(t)φα(x) =… read more here.
Keywords: planar half; solutions planar; linear differential; nonoscillatory solutions ... See more keywords
Nonoscillatory Solutions to Higher-Order Nonlinear Neutral Dynamic Equations
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DOI: 10.3390/sym11030302
Abstract: For a class of nonlinear higher-order neutral dynamic equations on a time scale, we analyze the existence and asymptotic behavior of nonoscillatory solutions on the basis of hypotheses that allow applications to equations with different… read more here.
Keywords: solutions higher; higher order; neutral dynamic; nonoscillatory solutions ... See more keywords