Browsing by Author "Yang, YanLong"

Now showing 1 - 5 of 5

Access status: Open Access ,
Existence results for mild solutions of impulsive periodic systems
(2012) Yang, YanLong; Wang, JinRong
By applying the Horn’s fixed point theorem, we prove the existence of $T_0$-periodic $PC$-mild solution of impulsive periodic systems when $PC$-mild solutions are ultimate bounded.
Access status: Open Access ,
Fractional nonlocal integrodifferential equations of mixed type with time-varying generating operators and optimal control
(Wydawnictwa AGH, 2010) Wang, JinRong; Wei, W.; Yang, YanLong
In this paper, a class of fractional integrodifferential equations of mixed type with time-varying generating operators and nonlocal conditions is considered. Using a contraction mapping principle and Krasnoselskii's fixed point theorem via Gronwall's inequality, the existence and uniqueness of mild solution are given. The existence of optimal pairs of systems governed by fractional integrodifferential equations of mixed type with time-varying generating operators and nonlocal conditions is also presented.
Access status: Open Access ,
Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces
(2010) Wang, JinRong; Yang, YanLong; Wei, W.
In this paper, we study the existence and uniqueness of the $PC$-mild solution for a class of impulsive fractional differential equations with time-varying generating operators and nonlocal conditions. By means of the generalized Ascoli-Arzela Theorem given by us and the fixed point theorem, some existence and uniqueness results are obtained. Finally, an example is given to illustrate the theory.
Access status: Open Access ,
On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces
(2011) Yang, YanLong; Wang, JinRong
In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. The main results are obtained by using the Schaefer fixed point theorem and semigroup theory. Finally, an example is given for demonstration.
Access status: Open Access ,
On some impulsive fractional differential equations in Banach spaces
(2010) Wang, JinRong; Wei, W.; Yang, YanLong
This paper deals with some impulsive fractional differential equations in Banach spaces. Utilizing the Leray-Schauder fixed point theorem and the impulsive nonlinear singular version of the Gronwall inequality, the existence of $PC$-mild solutions for some fractional differential equations with impulses are obtained under some easily checked conditions. At last, an example is given for demonstration.