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
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