Results 11 to 20 of about 696,919 (285)
Asymptotic behaviour of solutions to certain nonlinear third order neutral functional differential equation [PDF]
Heliyon, 2021 This paper presents asymptotic behaviour of solution to certain nonlinear nonautonomous neutral functional differential equation of the third order. The third order functional differential equation is cut back to system of first order and used together ...
Adeleke Timothy Ademola
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Continuous Choreographies as Limiting Solutions of $N$-body Type Problems with Weak Interaction [PDF]
, 2016 We consider the limit $N\to +\infty$ of $N$-body type problems with weak interaction, equal masses and $-\sigma$-homogeneous potential ...
Castaneira, Reynaldo +2 more
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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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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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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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On Some Functional-Differential Equation [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The necessary and sufficient conditions for the existence and uniqueness of a solution of the problem for the functional-differential equation are established.
N.P. Evlampiev +2 more
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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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Existence, Uniqueness and Stability Theorems for Certain Functional Fractional Initial Value Problem [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 In this paper, we deal with non-linear functional fractional differential equation with initial condition in space. We will study the existence, uniqueness and stability of the solution of fractional differential equation.
Joseph Abulahad, Shayma Murad
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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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On the origin of quantum mechanics [PDF]
, 2005 Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the ...
Bohr +38 more
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