An 𝐿¹ remainder theorem for an integrodifferential equation with asymptotically periodic solution

Abstract

Abstract. For a certain integrodifferential equation of Volterra type on (0, oo ), with piecewise linear convolution kernel, it is shown that the solution is u(t) = a cos Bt + p(i), with p e L'(0, oo) and a and ß constant; u' is represented similarly.