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Galerkin Methods for Nonlinear Ordinary Differential Equation with Impulses
Numerical Algorithms, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
François Dubeau +2 more
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Asymptotic equivalence of ordinary and impulsive operator–differential equations
Communications in Nonlinear Science and Numerical Simulation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anatoliy A. Martynyuk +2 more
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Bulletin Des Sciences Mathematiques, 2013 Abstract We consider a class of functional differential equations with variable impulses and we establish new stability results. We discuss the variational stability and variational asymptotic stability of the zero solution of a class of generalized ordinary differential equations where our impulsive functional differential equations can be embedded ...
Marcia Cristina Anderson Braz Federson +1 more
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International Journal of Theoretical Physics, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D D Bainov
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D D Bainov
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Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations [PDF]
Boundary Value Problems, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chuanzhi Bai
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INTEGRAL SURFACES FOR HYPERBOLIC ORDINARY DIFFERENTIAL EQUATIONS WITH IMPULSES
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 1985The paper considers integral surfaces of systems of differential equations with impulse perturbations at fixed moments of time. Sufficient conditions have been obtained for the existence of integral surfaces with definite properties and the behaviour of the solutions has been studied with initial conditions outside these surfaces.
Hristova, S. G., Bainov, D. D.
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On Impulsive Ordinary and Delay Differential Equations
2002Existence and uniqueness of the solution to ordinary and delay differential equations with infinitely many state-dependent impulses are considered. A simple transformation allows us to show that these problems are equivalent to problems without impulse. A fixed point approach is then applied for an appropriate norm.
François Dubeau +3 more
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PBVPs for Ordinary Impulsive Differential Equations
2001Impulsive differential equations occur in many biological, physical and engineering applications (see [2 3 5]). In consequence, the study of such systems has gained prominence.
Daniel Franco, Juan J. Nieto
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Boundedness and periodicity in impulsive ordinary and functional differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2006Periodicity and boundedness are studied for the impulsive ordinary differential equation \[ {\begin{cases} x'(t)=f(t,x),& t\not=t_k,t\geq 0\\ x(t_k)=I_k(x(t_k^-)),&k\in N, \end{cases}} \] and for a similar functional differential equation. Horn's fixed point theorem is applied to establish Hale-Yoshizawa type criteria for the existence of periodic ...
Shen, Jianhua, Li, Jianli, Wang, Qing
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Boundary value problems for higher order ordinary differential equations with impulses
Nonlinear Analysis: Theory, Methods & Applications, 1998The authors use the method of upper and lower solutions coupled with a monotone iterative technique, to study existence and approximation of solutions to some boundary value problems for higher-order ordinary differential equations with impulses of the type \[ u^{(n)}(t) = f(t,u(t)), \text{ for } \;a.e.
Alberto Cabada, Eduardo Liz
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