Results 11 to 20 of about 331,915 (277)
Oscillation in neutral partial functional differential equations and inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 1998 We derive some sufficient conditions for certain classes of ordinary differential inequalities of neutral type with distributed delay not to have eventually positive or negative solutions.
X. Fu, Jianhong Wu
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Nonautonomous partial functional differential equations; existence and regularity
Nonautonomous Dynamical Systems, 2017 The aim of this work is to establish several results on the existence and regularity of solutions for some nondensely nonautonomous partial functional differential equations with finite delay in a Banach space.
Kpoumiè Moussa El-Khalil +2 more
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Almost periodic solutions of periodic linear partial functional differential equations
Funkcialaj Ekvacioj, 2018 We study conditions for the abstract periodic linear functional differential equation $\dot{x}=Ax+F(t)x_t+f(t)$ to have almost periodic with the same structure of frequencies as $f$.
Luong, Vu Trong, Van Minh, Nguyen
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Perron's theorem for nondensely defined partial functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The aim of this work is to establish a Perron type theorem for some nondensely defined partial functional differential equations with infinite delay. More specifically, we show that if the nonlinear delayed part is "small" (in a sense to be made precise ...
Nadia Drisi +2 more
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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 certain higher-order neutral partial functional differential equations. [PDF]
Springerplus, 2016 In this paper, we study the oscillation of certain higher-order neutral partial functional differential equations with the Robin boundary conditions. Some oscillation criteria are established. Two examples are given to illustrate the main results in the end of this paper.
Li WN, Sheng W.
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Periodic solutions of partial functional differential equations [PDF]
Proceedings of the American Mathematical Society, Series B, 2021 In this paper we study the existence of periodic solutions to the partial functional differential equation { d y ( t ) d t
Su, Qiuyi, Ruan, Shigui
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Existence and stability for partial functional differential equations [PDF]
Transactions of the American Mathematical Society, 1974 Publisher Summary This chapter discusses the existence and stability for a class of partial functional differential equations. As a model for this class, one may take the equation wt(x, t) = wxx (x, t) + ƒ(t, w(x, t − r)), 0 ≤ x ≤ Π, t ≥ 0, w(0, t) = w(Π, t) = 0, t ≥ 0, w(x, t) = Φ (x, t), 0 ≤ x ≤ Π, −r ≤ t ≤ 0, where ƒ is a linear or nonlinear ...
Travis, C. C., Webb, G. F.
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Admissible integral manifolds for partial neutral functional-differential equations
Ukrains’kyi Matematychnyi Zhurnal, 2022 UDC 517.9 We prove the existence and attraction property for admissible invariant unstable and center-unstable manifolds of admissible classes of solutions to the partial neutral functional-differential equation in Banach space X of the form & ∂ ∂ t F
Thieu Huy Nguyen +2 more
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Invariant manifolds of partial functional differential equations
Journal of Differential Equations, 2004 The authors give a proof for the existence and attractivity of center-unstable, center and stable manifolds for general evolutionary processes using the method of graph transforms. They indicate that their results can be applied to a large class of equations generating evolutionary processes that may not be strongly continuous.
Van Minh, Nguyen, Wu, Jianhong
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