Results 1 to 10 of about 12,416 (263)

Controllability of nonlinear ordinary differential equations with non-instantaneous impulses

Mathematical Modelling and Control, 2022
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 ...
Zhen Xin, Yuhe Yang, Qiaoxia Li
doaj   +4 more sources

Green's Function and Maximum Principle for Higher Order Ordinary Differential Equations with Impulses [PDF]

Rocky Mountain Journal of Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cabada, Alberto, Liz, Eduardo, Lois, Susana   +2 more
semanticscholar   +5 more sources

Oscillations of Second-Order Nonlinear Ordinary Differential Equations with Impulses

Journal of Mathematical Analysis and Applications, 1999
Here, the second-order nonlinear differential equation with impulses of the form \[ \begin{aligned} &[r(t)x'(t)]'+f(t,x(t))=0,\quad t\geq t_0,\;t\neq t_k,\;k=1,2,\dots ,\\ &x(t_k^{+})=g_k(x(t_k)),\;x'(t_k^{+})=h_k(x'(t_k)),\;\;k=1,2,\dots ,\\ &x(t_0^{+})=x_0,\;\;x'(t_0^{+})=x'_0, \end{aligned} \] with \(0\leq ...
Luo, Jiaowan, Debnath, Lokenath
semanticscholar   +6 more sources

Oscillation for higher order nonlinear ordinary differential equations with impulses

Electronic Journal of Differential Equations, 2006
In this paper, we study the oscillation of solutions to higher order nonlinear ordinary differential equations with impulses. Several criteria for the oscillations of solutions are given.
Chaolong Zhang, Weizhen Feng
doaj   +3 more sources

Existence and Properties of the Solution of Nonlinear Differential Equations with Impulses at Variable Times

Axioms
In this paper, a class of nonlinear ordinary differential equations with impulses at variable times is considered. The existence and uniqueness of the solution are given.
Huifu Xia, Yunfei Peng, Peng Zhang
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A Boundary Value Problem for a System of Ordinary Differential Equations with Impulse Effects [PDF]

Rocky Mountain Journal of Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eloe, Paul W., Henderson, Johnny
openaire   +4 more sources

Multiple Periodic Solutions and Fractal Attractors of Differential Equations with n-Valued Impulses

Mathematics, 2020
Ordinary differential equations with n-valued impulses are examined via the associated Poincaré translation operators from three perspectives: (i) the lower estimate of the number of periodic solutions on the compact subsets of Euclidean spaces and, in ...
Jan Andres
doaj   +2 more sources

Impulsive system of ODEs with general linear boundary conditions [PDF]

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   +4 more sources

Linearized Stability Analysis of Nonlinear Delay Differential Equations with Impulses

Axioms
This 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   +2 more sources

On the existence of periodic solution of some quasilinear differential equations with impulses

Vietnam Journal of Mechanics, 2004
As for ordinary differential equations, one of the problems that especially attract the attention of many mathematicians is the problem on the existence of periodic solutions of the differential equation systems with impulses.
Le Luong Tai
doaj   +2 more sources