Antiperiodic solutions for semilinear evolution equations

作者：Chen, YQ^*; Cho, YJ; Jung, JS

来源：Mathematical and Computer Modelling, 2004, 40(9-10): 1123-1130.

DOI：10.1016/j.mcm.2003.06.007

• semilinear evolution equation
• antiperiodic solution
• self-adjoint operator

In this paper, we study the existence problem of antiperiodic solutions for the following first-order semilinear evolution equation:
u'(t) Au(t) partial derivativeGu(t) f(t) = 0, t is an element of R; u(t T) = -u(t), t is an element of R,
in a Hilbert space H, where A is a self-adjoint operator, partial derivativeG is the gradient of G. Existence results are obtained under assumptions that D(A) is compactly embedded into H and partial derivativeG is continuous or G is a convex function, which extend some known results in [1,2].

• 出版日期2004-11
• 单位佛山科学技术学院