Results 1 to 10 of about 6,352,898 (223)
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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On the Partial Equiasymptotic Stability in Functional Differential Equations
Journal of Mathematical Analysis and Applications, 2002 A system of functional-differential equations with delay \(dz/dt=Z(t,z_t)\), where \(Z\) is a vector-valued functional, is considered. It is supposed that this system has a zero solution \(z=0\). Definitions of its partial stability, partial asymptotical stability and partial equiasymptotical stability are given.
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Nonlinear Partial Functional Differential Equations: Existence and Stability
Journal of Mathematical Analysis and Applications, 2001 Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are established. Sufficient conditions which guarantee the transference of exponential stability from partial differential equations to partial functional differential equations are studied.
Tomáš Caraballo
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Iterative methods for the darboux problem for partial functional differential equations
Journal of Inequalities and Applications, 1999 We consider the Darboux problem for the hyperbolic partial functional differential equations where is a function defined by . If then using the method of functional differential inequalities we prove, under suitable conditions, a theorem on the ...
Człapiński Tomasz
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Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]
Opuscula Mathematica, 2022 This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
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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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Pseudospectral method for semilinear partial functional differential equations [PDF]
Opuscula Mathematica, 2010 We present a convergence result for two spectral methods applied to an initial boundary value problem with functional dependence of Volterra type. Explicit condition of Courant-Friedrichs-Levy type is assumed on time step \(\tau \) and the number \(N ...
Wojciech Czernous
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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 {
Su, Qiuyi, Ruan, Shigui
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the ...
A.T. Assanova, Zh.S. Tokmurzin
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Method of lines for parabolic stochastic functional partial differential equations [PDF]
Opuscula Mathematica, 2014 We approximate parabolic stochastic functional differential equations substituting the derivatives in the space variable by finite differences. We prove the stability of the method of lines corresponding to a parabolic SPDE driven by Brownian motion.
Maria Ziemlańska
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