Impulsive functional‐differential equations with nonlocal conditions
The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional‐differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.
Haydar Akça +2 more
wiley +1 more source
On second order impulsive functional differential equations in Banach spaces
In this paper, a fixed point theorem due to Schaefer is used to investigate the existence of solutions for second order impulsive functional differential equations in Banach spaces.
M. Benchohra, S. K. Ntouyas
wiley +1 more source
Existence of solutions for quasilinear random impulsive neutral differential evolution equation
This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
doaj +1 more source
Nonoscillation of the solutions of impulsive differential equations of third order
Necessary and sufficient conditions are found for existence of at least one bounded nonoscillatory solution of a class of impulsive differential equations of third order and fixed moments of impulse effect. Some asymptotic properties of the nonoscillating solutions are investigated.
Margarita Boneva Dimitrova
wiley +1 more source
The general solution of impulsive systems with Riemann-Liouville fractional derivatives
In this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero).
Zhang Xianmin +4 more
doaj +1 more source
Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux [PDF]
State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time.
Balasuriya, Sanjeeva
core +2 more sources
On second‐order multivalued impulsive functional differential inclusions in Banach spaces
A fixed point theorem for condensing maps due to Martelli is used to investigate the existence of solutions to second‐order impulsive initial value problem for functional differential inclusions in Banach spaces.
M. Benchohra +2 more
wiley +1 more source
Dynamic of a nonautonomous two-species impulsive competitive system with infinite delays
In this paper, we consider a nonautonomous two-species impulsive competitive system with infinite delays. By the impulsive comparison theorem and some mathematical analysis, we investigate the permanence, extinction and global attractivity of the system,
He Mengxin, Li Zhong, Chen Fengde
doaj +1 more source
This paper’s main motivation is to study the notion of weighted pseudo almost automorphic (𝒲𝒫𝒜𝒜) functions and establish the existence results of piecewise continuous mild solution of fractional order integro-differential equation with instantaneous ...
Kavitha Velusamy +3 more
doaj +1 more source
Existence, uniqueness and continuability of solutions of impulsive differential‐difference equations
We consider an initial value problem for impulsive differential‐difference equations, and obtain sufficient conditions for the existence, uniqueness, and continuability of solutions of such problem.
D. D. Bainov, I. M. Stamova
wiley +1 more source

