Results 11 to 20 of about 120,037 (263)
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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A singular functional-differential equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 The representation of the Hardy-Lebesque space by means of the shift operator is used to prove an existence theorem for a singular functional-differential equation which yields, as a corollary, the well known theory of Frobenius for second order ...
P. D. Siafarikas
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Nonoscillatory functional-differential equations [PDF]
Pacific Journal of Mathematics, 1984 Our aim in this paper is to obtain sufficient conditions under which certain functional differential equations have a " large" number of nonoscillatory solutions. Using the characteristic equation of a "majorant" delay differential equation with constant coefficients and Schauder's fixed point theorem, we obtain conditions under which the functional ...
Ladas, G. +2 more
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Differential equations for algebraic functions [PDF]
Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007 It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions. We show that the linear differential equation of minimal order has coefficients whose degree is cubic in the degree of the function.
Bostan, Alin +4 more
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On the Tonelli method for the degenerate parabolic Cauchy problem with functional argument [PDF]
Opuscula Mathematica, 2014 The degenerate parabolic Cauchy problem is considered. A functional argument in the equation is of the Hale type. As a limit of piecewise classical solutions we obtain a viscosity solution of the main problem. Presented method is an adaptation of Tonelli'
Krzysztof A. Topolski
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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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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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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 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, 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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