Results 41 to 50 of about 16,431 (159)
Oscillation of solutions for odd-order neutral functional differential equations
Electronic Journal of Differential Equations, 2010 In this article, we establish oscillation criteria for all solutions to the neutral differential equations $$ [x(t)pm ax(tpm h)pm bx(tpm g)]^{(n)} =pint_c^d x(t-xi)dxi+qint_c^d x(t+xi)dxi, $$ where $n$ is odd, $h$, $g$, $a$ and $b$ are nonnegative
Tuncay Candan
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Oscillation results for even-order quasilinear neutral functional differential equations
Electronic Journal of Differential Equations, 2011 In this article, we use the Riccati transformation technique and some inequalities, to establish oscillation theorems for all solutions to even-order quasilinear neutral differential equation $$ Big(ig[ig(x(t)+p(t)x(au(t))ig)^{(n-1)}ig]^gammaBig)' +
Blanka Baculikova +2 more
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Weighted pseudo periodic solutions of neutral functional differential equations
Electronic Journal of Differential Equations, 2014 In this article, we introduced and explore the properties of two sets of functions: weighted pseudo periodic functions of class r, and weighted Stepanov-like pseudo periodic functions of class r. We show the existence and uniqueness of weighted pseudo
Zhinan Xia
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Periodic solutions for some partial neutral functional differential equations
Electronic Journal of Differential Equations, 2006 In this work, we study the existence of periodic solutions for partial neutral functional differential equation. We assume that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition.
Rachid Benkhalti +2 more
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Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities
Abstract and Applied Analysis, 2011 We study the following second-order neutral functional differential equation with mixed nonlinearities (r(t)|(u(t)+p(t)u(t-σ))'|α-1(u(t)+p(t)u(t-σ))′)′+q0(t)|u(τ0(t))|α-1u(τ0(t))+q1(t)|u(τ1(t))|β-1u(τ1(t))+q2(t)|u(τ2(t))|γ-1u(τ2(t))=0, where γ>α>β>0, ∫t0∞
Shurong Sun +3 more
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Neutral functional differential equations of second-order with infinite delays
Electronic Journal of Differential Equations, 2010 This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
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Cogent Engineering, 2015 The current paper is concerned with the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces.
Diem Dang Huan, Hongjun Gao
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Asymptotic Behavior of Higher-Order Quasilinear Neutral Differential Equations
Abstract and Applied Analysis, 2014 We study asymptotic behavior of solutions to a class of higher-order quasilinear neutral differential equations under the assumptions that allow applications to even- and odd-order differential equations with delayed and advanced arguments, as well as to
Tongxing Li, Yuriy V. Rogovchenko
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S-asymptotically omega-periodic solutions for abstract neutral differential equations
Electronic Journal of Differential Equations, 2015 In this article we study the existence of S-asymptotically omega-periodic solutions for abstract neutral functional differential equations recently, introduced in the literature.
Michelle Pierri, Donal O'Regan
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Spectral Properties and Finite Pole Assignment of Linear Neutral Systems in Banach Spaces
Abstract and Applied Analysis, 2010 We will consider a pole assignment problem for a class of linear neutral functional differential equations in Banach spaces. We will think of the neutral system studied as that of involving no time delays and reduce the study of adjoint semigroups and ...
Xuewen Xia, Kai Liu
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