Oscillation for a nonlinear neutral dynamic equations on time‐scales with variable exponents
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DOI: 10.1002/mma.5636
Abstract: In the present manuscript, we study the oscillation theory for a first‐order nonlinear neutral dynamic equations on timescales with variable exponents of the form read more here.
Keywords: nonlinear neutral; dynamic equations; variable exponents; neutral dynamic ... See more keywords
Stability criteria of arbitrary-order neutral dynamic systems with mixed delays
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DOI: 10.1007/s40435-018-0397-z
Abstract: The stability of a neutral dynamic system is a major study in the class of delay systems. In this effort, we study the stability of fractional-order nonlinear dynamic systems utilizing Lyapunov direct method based on… read more here.
Keywords: order; neutral dynamic; stability criteria; criteria arbitrary ... 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
On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales
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DOI: 10.1186/s13662-017-1187-1
Abstract: The oscillatory and asymptotic behavior results for a class of third-order nonlinear neutral dynamic equations on time scales are presented. The results obtained can be extended to more general third-order neutral dynamic equations of the… read more here.
Keywords: time scales; third order; neutral dynamic; dynamic equations ... See more keywords
Oscillation and nonoscillation theorems of neutral dynamic equations on time scales
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DOI: 10.1186/s13662-019-2342-7
Abstract: AbstractWe present the oscillation criteria for the following neutral dynamic equation on time scales: (y(t)−C(t)y(t−ζ))Δ+P(t)y(t−η)−Q(t)y(t−δ)=0,t∈T,$$ \bigl(y(t)-C(t)y(t-\zeta )\bigr)^{\Delta }+P(t)y(t-\eta )-Q(t)y(t-\delta )=0, \quad t\in {\mathbb{T}}, $$ where C,P,Q∈Crd([t0,∞),R+)$C, P, Q\in C_{\mathit{rd}}([t_{0},\infty ),{\mathbb{R}}^{+})$, R+=[0,∞)${\mathbb{R}} ^{+}=[0,\infty )$, γ,η,δ∈T$\gamma ,… read more here.
Keywords: time scales; neutral dynamic; mathbb; eta delta ... 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 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