Differential Inequalities for One Component of Solution Vector for Systems of Linear Functional Differential Equations [PDF]
Advances in Difference Equations, 2010 The method to compare only one component of the solution vector of linear functional differential systems, which does not require heavy sign restrictions on their coefficients, is proposed in this paper.
Alexander Domoshnitsky
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Differential difference inequalities related to parabolic functional differential equations [PDF]
Opuscula Mathematica, 2010 Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations.
Milena Netka
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Representation and stability of solutions of systems of functional differential equations with multiple delays [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper is devoted to the study of systems of nonlinear functional differential equations with time-dependent coefficients and multiple variable increasing delays represented by functions $g_i(t)
Michal Pospíšil
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Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
Journal of Function Spaces, 2021 The Ulam-Hyers-Rassias stability for stochastic systems has been studied by many researchers using the Gronwall-type inequalities, but there is no research paper on the Ulam-Hyers-Rassias stability of stochastic functional differential equations via ...
Abdellatif Ben Makhlouf +2 more
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Monotone iterative methods for infinite systems of reaction-diffusion-convection equations with functional dependence [PDF]
Opuscula Mathematica, 2005 We consider the Fourier first initial-boundary value problem for an infinite system of semilinear parabolic differential-functional equations of reaction-diffusion-convection type of the form \[\mathcal{F}^i[z^i](t,x)=f^i(t,x,z),\quad i \in S,\] where \[\
Stanisław Brzychczy
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On Singular Liouville Equations and Systems [PDF]
Advanced Nonlinear Studies, 2017 We consider some singular Liouville equations and systems motivated by uniformization problems in a non-smooth setting, as well as from models in mathematical physics.
Malchiodi Andrea
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Stability Analysis of a Nonautonomous Diffusive Predator–Prey Model with Disease in the Prey and Beddington–DeAngelis Functional Response [PDF]
BiologyBased on existing models, this paper incorporates some key ecological factors, thereby obtaining a class of eco-epidemiological models that can more objectively reflect natural phenomena.
Yujie Zhang +3 more
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A finite difference method for nonlinear parabolic-elliptic systems of second order partial differential equations [PDF]
Opuscula Mathematica, 2007 This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions.
Marian Malec, Lucjan Sapa
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Landau-type inequalities and
Journal of Inequalities and Applications, 1999 In Section 1 relations between various forms of Landau inequalities and Halperin–Pitt inequalities are discussed, for arbitrary norms, intervals and Banach-space-valued . In Section 2 such inequalities are derived for weighted -norms, Stepanoff-
Günzler Hans
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Stability of hybrid stochastic retarded systems [PDF]
, 2008 -In the past few years, hybrid stochastic retarded systems (also known as stochastic retarded systems with Markovian switching), including hybrid stochastic delay systems, have been intensively studied. Among the key results, Mao et al.
Mao, X. +5 more
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