Results 11 to 20 of about 5,517,155 (276)
On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
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Qualitative properties of functional differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 The aim of this paper is to discuss some basic problems (existence and uniqueness, data dependence) of the fixed point theory for a functional differential equation with an abstract Volterra operator. In the end an application is given.
Diana Otrocol, Veronica Ilea
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On the existence and uniquness theorem of the global solutions for UFDES [PDF]
Journal of Mahani Mathematical Research, 2022 The uncertain functional differential equation (UFDE) is a type of functional differential equations driven by a canonical uncertain process. Uncertain functional differential equation with infinite delay (IUFDE) have been widely applied in sciences and ...
Samira Siya Mansouri +2 more
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Functional Differential Equations and Inequalities [PDF]
Proceedings of the National Academy of Sciences, 1936 Let us first try to find the minimum value of the integral ∫02π[f’(x)+mf(x + π)+e(x)]^2dx where f(x) is a uniform function of period 2π which is integrable and such that ∫02π[f(x)]^2dx=1.
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Abstract and Applied Analysis, 2000 We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution equation and then derive a representation theorem for the ...
Bernd Aulbach, Nguyen Van Minh
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On a Class of Functional Differential Equations with Symmetries [PDF]
Symmetry, 2019 It is shown that a class of symmetric solutions of scalar non-linear functional differential equations can be investigated by using the theory of boundary value problems. We reduce the question to a two-point boundary value problem on a bounded interval and present several conditions ensuring the existence of a unique symmetric solution.
Nataliya Dilna +2 more
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Abstract and Applied Analysis, 2009 This paper investigates the relations between the particular eigensolutions of a limiting functional differential equation of any order, which is the nominal (unperturbed) linear autonomous differential equations, and the associate ones of the ...
M. De la Sen
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Stochastic Functional Differential Equation under Regime Switching
Discrete Dynamics in Nature and Society, 2012 We discuss stochastic functional differential equation under regime switching dx(t)=f(xt,r(t),t)dt+q(r(t))x(t)dW1(t)+σ(r(t))|x(t)|βx(t)dW2(t). We obtain unique global solution of this system without the linear growth condition; furthermore, we prove its ...
Ling Bai, Zhang Kai
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Perturbed functional fractional differential equation of Caputo-Hadamard order [PDF]
Mathematica MoravicaIn this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative.
Hamani Samira
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Oscillation of functional differential equations
Mathematical and Computer Modelling, 2005 Some new criteria for the oscillation of functional differential equations of the form, d/dt[1/a(n-1)(t) d/dt q (t) f (x [g (t)]) = 0, dt a._1 (t) Tt -a,,-2 (t) Tt -al(t) dt are presented in this paper. @ 2005 Elsevier Ltd. All rights reserved.
Agarwal, R. P. +3 more
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