Nonmonotone Impulse Effects in Second-order Periodic Boundary Value Problems
نویسنده
چکیده
We deal with the nonlinear impulsive periodic boundary value problem u′′ = f (t,u,u′), u(ti+) = Ji(u(ti)), u′(ti+) = Mi(u′(ti)), i= 1,2, . . . ,m, u(0) = u(T), u′(0) = u′(T). We establish the existence results which rely on the presence of a well-ordered pair (σ1,σ2) of lower/upper functions (σ1 ≤ σ2 on [0,T]) associated with the problem. In contrast to previous papers investigating such problems, the monotonicity of the impulse functions Ji, Mi is not required here.
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تاریخ انتشار 2004