Results 1 to 10 of about 22,191 (162)
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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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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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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Neural Partial Differential Equations with Functional Convolution
CoRR, 2023 10 pages of main text, 7 pages of appendix, 7 figures in main ...
Ziqian Wu +6 more
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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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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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Partial Differential Equations and Function Spaces [PDF]
Journal of Function Spaces, 2016 It is well known that PDEs and the theory of function spaces have played a central role in the mathematical analysis of problems arising from mathematical physics, biology, and other branches of modern applied sciences. This special issue addresses the current advances in these two broad areas; in particular it focuses on the connections and ...
Shijun Zheng +3 more
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Stability results for the functional differential equations associated to water hammer in hydraulics
Electronic Journal of Qualitative Theory of Differential Equations, 2022 There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
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Multiple solutions of nonlinear partial functional differential equations and systems
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations with certain nonlocal terms, further, systems of elliptic functional differential equations.
László Simon
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