Periodic solutions of semilinear equations of evolution of compact type

Existence of Periodic Solutions for a Class of Nonlinear Evolution Equations

“…Results Qn titis kind of probletas have been obtauned previously under various assumptions on A and on f by many authors aud we niention here only [4,6,10,13,16]. For furtiter detalis on tite subject [16].…”

Existence of periodic solutions for nonlinear evolution equations with pseudo monotone operators

“…When A is linear, the problem (1.2) was studied by Amann [1], Becker [3], Prüss [13] and others. Vrabie [15] and he showed that (1.2) has a T -periodic, mild solution.…”

Existence of periodic solutions for nonlinear evolution equations in Hilbert spaces

“…[5][6][7]) under the assumption that A is m-accretive and g is Lipschitz continuous with respect to the second variable. In the case that g is merely continuous with respect to the second variable, the existence of periodic solutions of (P) was studied in [2,8,9]. Becker [2] considered the case that g is continuous and A: D(A) -> H is a closed densely defined linear operator.…”

“…In the case that g is merely continuous with respect to the second variable, the existence of periodic solutions of (P) was studied in [2,8,9]. Becker [2] considered the case that g is continuous and A: D(A) -> H is a closed densely defined linear operator. Recently, Vrabie [9] extended Becker's result to fully nonlinear cases.…”