Yuji Liu ANTI - PERIODIC BOUNDARY VALUE PROBLEMS FOR NONLINEAR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS
نویسنده
چکیده
This paper is concerned with the anti-periodic boundary value problems for nonlinear impulsive functional differential equations x′(t) = f(t, x(t), x(α1(t)), · · · , x(αn(t))), a.e. t ∈ [0, T ], ∆x(tk) = Ik(x(tk)), k = 1, · · · ,m, x(0) = −x(T ). The sufficient conditions for the existence of at least one solution to above problem are established. The results generalize and improve the known ones. Examples are presented to illustrate the main results.
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