Sdü Fen Edebi̇yat Fakültesi̇ Fen Dergi̇si̇ (e-dergi̇). 2007, 2(2), 253-272 Periodic Boundary Value Problems for Higher Order Impulsive Functional Differential Equations
نویسنده
چکیده
We prove existence results for the solutions of the periodic boundary value problem concerning the n-th order functional differential equation with impulses effects ⎩ ⎨ ⎧ Δ ∈ α α − , p , 1, = k)), t (x ,), t (x (I =) t (x ], T [0, t. e. a))), t ((x ,)) t ((x), t (x , t (f =) t (x k 1) n (k k , i k) i (m 1) n (L L L and the periodic boundary conditions 1. , 0, =), (= (0)) () (− n i T x x i i L Our method is based upon the coincidence degree theory of Mawhin and some technical inequalities. Examples are presented to illustrate the main results.
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