Some results for high-order generalized neutral differential equation
نویسندگان
چکیده
where p≥ 2, φp(x) = |x|p–2x for x = 0 and φp(0) = 0; g :R4 →R is a continuous periodic function with g(t + T , ·, ·, ·)≡ g(t, ·, ·, ·), and g(t,a,a, 0) – e(t) ≡ 0 for all a ∈R. e :R→R is a continuous periodic function with e(t + T )≡ e(t) and ∫ T 0 e(t)dt = 0, c is a constant and |c| = 1, δ ∈ C1(R,R) and δ is a T -periodic function, T is a positive constant; n is a positive integer. By applications of coincidence degree theory and some analysis skills, sufficient conditions for the existence of periodic solutions are established. MSC: 34K13; 34K40; 34C25
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