Results 21 to 30 of about 16,431 (159)
On Neutral Functional–Differential Equations with Proportional Delays
Journal of Mathematical Analysis and Applications, 1997 The paper deals with the well-posedness of the initial value problem for the neutral functional-differential equation \[ y'(t)= ay(t)+ \sum_{i=1}^\infty b_iy(q_it)+ \sum_{i=1}^\infty cy'(p_it), \qquad t>0, \quad y(0)=y_0 \] and the asymptotic behaviour of its solutions.
Iserles, Arieh, Liu, Yunkang
openaire +2 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Some general conditions sufficient for unique solvability of the boundary-value problem for a system of linear functional differential equations of the second order are established.
Natalia Dilna
doaj +1 more source
Periodic solutions of convex neutral functional differential equations
Tohoku Mathematical Journal, 2000 In this paper, the authors study the existence of periodic solutions to neutral differential equations. It is proved that for convex neutral functional-differential equations of \(D\)-operator type with finite (or infinite) delay and hyperneutral functional-differential equations with finite delay the problem of the existence of periodic solutions is ...
Fan, Meng, Wang, Ke
openaire +2 more sources
Bogdanov-Takens bifurcation for neutral functional differential equations
Electronic Journal of Differential Equations, 2013 In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity.
Jianzhi Cao, Rong Yuan
doaj
Axioms, 2023 This study investigates the oscillatory properties of a fourth-order delay functional differential equation. This study’s methodology is built around two key tenets.
Yousef Alnafisah, Osama Moaaz
doaj +1 more source
Discrete Dynamics in Nature and Society, 2013 Combining the exponential dichotomy of evolution family, composition theorems for almost automorphic functions with Banach fixed point theorem, we establish new existence and uniqueness theorems for almost automorphic mild solutions to neutral parabolic ...
Zhanrong Hu, Zhen Jin
doaj +1 more source
Periodic Solution for a Kind of Third-Order Neutral-Type Differential Equation
Journal of Function Spaces, 2023 In this paper, we investigate a class of a third-order neutral-type differential equation with time-varying delays. Some sufficient conditions on the existence of a periodic solution are established for the considered system.
Axiu Shu, Bo Du
doaj +1 more source
Periodic solutions of neutral functional differential equations
Journal of Differential Equations, 2023 The paper is concerned of the existence of periodic solutions of a neutral functional differential equation (NFDEs). First, assuming that the right hand sind of the equation is locally Perron integrable over \(\mathbb{R}\), the authors exhibit sufficient conditions to obtain the existence of periodic solutions for the NFDEs.
S.M. Afonso, E.M. Bonotto, M.R. da Silva
openaire +2 more sources
Almost automorphic solutions of neutral functional differential equations
Electronic Journal of Differential Equations, 2010 In this article, we prove the existence and uniqueness of almost automorphic solutions to the non-autonomous evolution equation $$ frac{d}{dt}(u(t)-F_1(t,B_1u(t)))=A(t)(u(t)-F_1(t,Bu(t)))+F_2(t,u(t),B_2u(t)), quad tin mathbb{R} $$ where $A(t ...
Gisele M. Mophou, Gaston M. N'Guerekata
doaj
Abstract and Applied Analysis, 2014 The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line.
Ali H. Bhrawy +3 more
doaj +1 more source