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Published in 2019 at "Mathematical Methods in the Applied Sciences"
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.
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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.
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Published in 2021 at "Journal of Pseudo-differential Operators and Applications"
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.
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Published in 2017 at "Arabian Journal of Mathematics"
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.
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Published in 2021 at "Mathematical Problems in Engineering"
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.
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Published in 2019 at "Advances in Difference Equations"
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.
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Published in 2022 at "Axioms"
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.
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Published in 2021 at "Entropy"
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.