HOLDER CONTINUOUS SOLUTIONS FOR SECOND ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES

作者：Bu Shangquan^*

来源：Acta Mathematica Scientia, 2011, 31(3): 765-777.

• Fourier multiplier
• C(alpha)-well-posedness
• integro-differential equations

We study Holder continuous solutions for the second order integro-differential equations with infinite delay (P(1)): u ''(t)+cu' (t)+ f(-infinity)(t) (t - s)u'(s)ds+f(-infinity)(t)gamma(t - s)u(s)ds = Au(t) - f(-infinity)(t)delta(t - s)Au(s)ds + f(t) on the line R, where 0 < alpha < 1, A is a closed operator in a complex Banach space X, c is an element of C is a constant, f is an element of C(alpha)(R, X) and beta, gamma, delta is an element of L(1) (R(+)).

• 出版日期2011-5
• 单位清华大学