Optimal control of linear impulsive antiperiodic boundary value problem on infinite dimensional spaces.
Study of an approximation process of time optimal control for fractional evolution systems in Banach spaces.
The constructive approach on existence of time optimal controls of system governed by nonlinear equations on Banach spaces.
Periodic solutions of a class of integrodifferential impulsive periodic systems with time-varying generating operators on Banach space.
A class of impulsive pulse-width sampler systems and its steady-state control in infinite dimensional spaces.
Linear impulsive periodic system with time-varying generating operators on Banach space.
Global behaviors and optimal harvesting of a class of impulsive periodic logistic single-species system with continuous periodic control strategy.
Existence of periodic solutions for integrodifferential impulsive periodic system on Banach space.
Periodic solutions of semilinear impulsive periodic system with time-varying generating operators on Banach space.
Bounded and periodic solutions of semilinear impulsive periodic system on Banach spaces.
Existence and global asymptotical stability of periodic solution for the -periodic logistic system with time-varying generating operators and -periodic impulsive perturbations on Banach spaces.
The generalized Gronwall inequality and its application to periodic solutions of integrodifferential impulsive periodic system on Banach space.
Nonlinear delay integrodifferential systems with Caputo fractional derivative in infinite-dimensional spaces
This paper is mainly concerned with existence of mild solutions and optimal controls for nonlinear delay integrodifferential systems with Caputo fractional derivative in infinite-dimensional spaces. We do not assume that the relevant strongly continuous semigroup is compact.
Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses
In this paper, we consider periodic solutions for a class of nonlinear evolution equations with non-instantaneous impulses on Banach spaces. By constructing a Poincaré operator, which is a composition of the maps and using the techniques of a priori estimate, we avoid assuming that periodic solution is bounded like in [1-4] and try to present new sufficient conditions on the existence of periodic mild solutions for such problems by utilizing semigroup theory and Leray-Schauder's fixed point theorem....
On the nonlocal Cauchy problem for semilinear fractional order evolution equations
In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam. Systems Appl., 2007, 16(3), 507–516], [Zhou Y., Jiao F., Nonlocal Cauchy problem for fractional evolution equations, Nonlinar Anal. Real World Appl., 2010, 11(5), 4465–4475] to deal with nonlocal Cauchy problem for semilinear fractional order evolution equations. We present two new sufficient conditions on existence of mild solutions. The first...
Novel method for generalized stability analysis of nonlinear impulsive evolution equations
In this paper, we discuss some generalized stability of solutions to a class of nonlinear impulsive evolution equations in the certain piecewise essentially bounded functions space. Firstly, stabilization of solutions to nonlinear impulsive evolution equations are studied by means of fixed point methods at an appropriate decay rate. Secondly, stable manifolds for the associated singular perturbation problems with impulses are compared with each other. Finally, an example on initial boundary value...
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