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
Necessary and sufficient condition for oscillation of nonlinear neutral first-order differential equations with several delays
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0506-9
Abstract: In this work, necessary and sufficient conditions for oscillations of the solutions of a class of nonlinear neutral first-order differential equations with several delays of the form $$\begin{aligned} \frac{\mathrm {d}}{\mathrm {d}t}[x(t)+r(t)x(t-\tau )]+ \sum _{i=1}^m \phi… read more here.
Keywords: first order; nonlinear neutral; neutral first; necessary sufficient ... See more keywords
Existence results for nonlinear neutral generalized Caputo fractional differential equations
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DOI: 10.1007/s11868-021-00400-3
Abstract: This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We… read more here.
Keywords: fractional differential; generalized caputo; caputo fractional; nonlinear neutral ... See more keywords
Approximate controllability of fractional nonlinear neutral stochastic differential inclusion with nonlocal conditions and infinite delay
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DOI: 10.1007/s40065-017-0163-7
Abstract: In this paper we consider a class of fractional nonlinear neutral stochastic evolution inclusions with nonlocal initial conditions in Hilbert space. Using fractional calculus, stochastic analysis theory, operator semigroups and Bohnenblust–Karlin’s fixed point theorem, a… read more here.
Keywords: controllability fractional; nonlinear neutral; stochastic differential; fractional nonlinear ... See more keywords
Qualitative Property of Third-Order Nonlinear Neutral Distributed-Delay Generalized Difference Equations
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DOI: 10.1155/2021/2875613
Abstract: This paper investigates the qualitative property of third-order nonlinear neutral distributed-delay generalized difference equations. By utilizing Philos-type technique and Riccati transformation, some oscillation criteria are presented to ensure that every solution of this equation oscillates… read more here.
Keywords: neutral distributed; nonlinear neutral; third order; qualitative property ... See more keywords
On the oscillation of higher order nonlinear neutral difference equations
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DOI: 10.1186/s13662-019-2198-x
Abstract: In this paper, we shall investigate some oscillation criteria for the solutions of mth-order nonlinear neutral difference equation where m≥1$m\geq 1$. The results presented here complement some of the known results reported in the literature.… read more here.
Keywords: neutral difference; difference equations; difference; nonlinear neutral ... See more keywords
Nonoscillation and Oscillation Criteria for a Class of Second-Order Nonlinear Neutral Delay Differential Equations with Positive and Negative Coefficients
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DOI: 10.3390/axioms11060281
Abstract: In this paper, we investigate some nonoscillatory and oscillatory solutions for a class of second-order nonlinear neutral delay differential equations with positive and negative coefficients. By means of the method of contraction mapping principle and… read more here.
Keywords: nonlinear neutral; order nonlinear; class second; second order ... See more keywords
New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms
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DOI: 10.3390/e23020227
Abstract: In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing… read more here.
Keywords: asymptotic behavior; oscillatory asymptotic; nonlinear neutral; neutral terms ... See more keywords
Nonoscillatory Solutions for m-th-Order Nonlinear Neutral Differential Equations with General Delays: Fixed-Point Approach and Application
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DOI: 10.3390/math13152362
Abstract: This paper investigates the existence and uniqueness of bounded nonoscillatory solutions for two classes of m-th-order nonlinear neutral differential equations that incorporate both discrete and distributed delays. By applying Banach’s fixed-point theorem, we establish sufficient… read more here.
Keywords: differential equations; nonoscillatory solutions; order nonlinear; nonlinear neutral ... See more keywords
Positivity and Periodicity in Nonlinear Neutral Mixed Type Levin-Nohel Integro-Differential Equations
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DOI: 10.46793/kgjmat2502.253b
Abstract: In this work, we give sufficient conditions for the existence of periodic and positive periodic solutions for a nonlinear neutral mixed type Levin-Nohel integro-differential equation with variable delays by using Krasnoselskii’s fixed point theorem. Also,… read more here.
Keywords: mixed type; nonlinear neutral; type levin; neutral mixed ... See more keywords