Results 41 to 50 of about 691,926 (188)

Adjoint systems and Green functionals for second-order linear integro-differential equations with nonlocal conditions

Electronic Journal of Differential Equations, 2015
In this work, we generalize so called Green's functional concept in literature to second-order linear integro-differential equation with nonlocal conditions. According to this technique, a linear completely nonhomogeneous nonlocal problem for a second-
Ali Sirma
doaj  

Convex Solutions of an Iterative Functional Differential Equation

Annales Mathematicae Silesianae
In this paper, by Schauder's fixed point theorem and the Banach contraction principle, we consider the existence, uniqueness, and stability of convex solutions of a nonhomogeneous iterative functional differential equation.
Li Lin Huang, Hou Yu Zhao
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Functional differential equations of third order

Electronic Journal of Differential Equations, 2005
In this paper, we consider the third-order neutral functional differential equation with distributed deviating arguments. We give sufficient conditions for the oscillatory behavior of this functional differential equation.
Tuncay Candan, Rajbir S. Dahiya
doaj  

Analytic Solutions of an Iterative Functional Differential Equations Near Regular Points

Journal of Applied Mathematics, 2013
The existence of analytic solutions of an iterative functional differential equation is studied when the given functions are all analytic and when the given functions have regular points.
Lingxia Liu
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Initial value problems of fractional order Hadamard-type functional differential equations

Electronic Journal of Differential Equations, 2015
The Banach fixed point theorem and a nonlinear alternative of Leray-Schauder type are used to investigate the existence and uniqueness of solutions for fractional order Hadamard-type functional and neutral functional differential equations.
Bashir Ahmad, Sotiris K. Ntouyas
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On the surjectivity conditions of a linear functional differential operator of the second order

Electronic Journal of Qualitative Theory of Differential Equations
Linear second-order functional differential equations without the Volterra condition are studied. Sufficient conditions for the everywhere solvability of the equation (surjectivity of the corresponding functional differential operator) are obtained in ...
Eugene Bravyi
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The Differential and Functional Equations for a Lie Group Homomorphism are Equivalent [PDF]

, 2009
I prove the "folklore" result that the functional equation for a Lie group homomorphism can be solved by solving the corresponding differential equation.Comment: 3 ...
Svetlichny, George
core  

Representation and stability of solutions of systems of functional differential equations with multiple delays

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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Exponential stability in a scalar functional differential equation

Journal of Inequalities and Applications, 2006
We establish a criterion for the global exponential stability of the zero solution of the scalar retarded functional differential equation whose linear part generates a monotone semiflow on the phase space with respect to the exponential ordering ...
Pituk Mihály, Liz Eduardo
doaj  

On oscillation of solutions of differential equations with distributed delay

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We obtain sufficient conditions for oscillation of solutions to a linear differential equation with distributed delay. We construct examples showing that constants in the conditions are unimprovable.
Vera Malygina, Tatyana Sabatulina
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