Results 21 to 30 of about 774 (250)
On nonclassical impulsive ordinary differential equations with nonlocal conditions
International Journal of Analysis and Applications, 2019 Summary: Results on mild solutions of nonclassical differential equations with impulsive and nonlocal conditions are extended to a case when the nonlocal conditions are necessarily non Lipschitz and non compact.
Bishop, S.A. +2 more
openaire +7 more sources
Ulam’s type stability of impulsive ordinary differential equations
Journal of Mathematical Analysis and Applications, 2012 The authors consider the following impulsive differential equations \[ x'(t)= f(t,x(t)),\quad t\in J':= J\setminus\{t_1,\dotsc, t_m\},\quad J:= [0,T],\;T> 0, \] \[ \Delta x(t_k)= I_k(x(t^-_k)),\quad k= 1,2,\dotsc, m, \] where \(f: J\times\mathbb{R}\to \mathbb{R}\) is continuous, \(I_k: \mathbb{R}\to \mathbb{R}\), \(T< \infty\), and \[ x(t^+_k)= \lim_ ...
Wang, JinRong +2 more
openaire +2 more sources
Non-Instantaneous Impulses in Differential Equations [electronic resource] /
, 2017 This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population ...
Hristova, Snezhana.author.authttp://id.loc.gov/vocabulary/relators/aut +3 more
core +2 more sources
Controllability of nonlinear ordinary differential equations with non-instantaneous impulses
Mathematical Modelling and Control, 2022 <abstract><p>In this paper, we consider controllability of the initial value problem with non-instantaneous impulse on ordered Banach spaces. We firstly give a solution expression for initial value problems with non-instantaneous impulses in ordered Banach Spaces by using Schauder fixed point theorem.
Zhen Xin, Yuhe Yang, Qiaoxia Li
openaire +2 more sources
Impulsive system of ODEs with general linear boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2013 The paper provides an operator representation for a problem which consists of a system of ordinary differential equations of the first order with impulses at fixed times and with general linear boundary conditions \begin{gather} z'(t) = A(t)z(t) + f(t,z ...
Irena Rachůnková, Jan Tomeček
doaj +1 more source
Oscillations of second-order nonlinear impulsive ordinary differential equations
Journal of Computational and Applied Mathematics, 2003 The authors study the second-order impulsive ordinary differential equation \[ \left(r(t)\bigl(x'(t)\bigr)^\sigma \right)'+f(t,x(t))=0, \qquad t\geq t_0, \;t\neq t_k, \;k=1,2,\dots \eqno(1) \] where \(r\in C({\mathbb R}, (0,\infty))\), \(f\in C({\mathbb R}\times {\mathbb R}, {\mathbb R})\) and \(f\) satisfies the sign condition \(xf(t,x)>0\) for all ...
He, Zhimin, Ge, Weigao
openaire +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2019 Summary: We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov functionals.
Afonso, Suzete, da Silva, Márcia
openaire +3 more sources
About differential inequalities for nonlocal boundary value problems with impulsive delay equations [PDF]
, 2015 summary:We propose results about sign-constancy of Green's functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green's functions of boundary value
Volinsky, Irina, Domoshnitsky, Alexander
core +1 more source
FEBS Letters, EarlyView.Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
wiley +1 more source
Linearized Stability Analysis of Nonlinear Delay Differential Equations with Impulses
AxiomsThis paper explores the linearized stability of nonlinear delay differential equations (DDEs) with impulses. The classical results on the existence of periodic solutions are extended from ordinary differential equations (ODEs) to DDEs with impulses ...
Mostafa Bachar
doaj +1 more source