A generation theorem for the perturbation of exponentially equicontinuous C₀-semigroups on locally convex spaces

[1] X.Q. Bui, N.D. Huy, V.T. Luong and N.V. Minh, A generation theorem for the perturbation of strongly continuous semigroups by unbounded operators, J. Differential Equations,
422 (2025), 489-499.
[2] Y.H. Choe, C0-semigroups on a locally convex space, J. Math. Anal. Appl., 106 (1985),
293-320.
[3] B. Dembart, Perturbation of semigroups of operators on locally convex spaces, Bull. Amer.
Math. Soc., 79(5) (1973), 986-991.
[4] K.J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations,
Springer, 2000.
[5] H. Komatsu, Semi-groups of operators in locally convex spaces, J. Math. Soc. Japan, 16
(1964), 230-262.
[6] T. Komura, Semigroups of operators in locally convex spaces, J. Funct. Anal., 2(3) (1968),
258-296.
[7] M. Kostic´, Generalized Semigroups and Cosine Functions, Math. Inst., Belgrade, 2011.
[8] L. Narici and E. Beckenstein, Topological vector spaces, CRC Press, 2010.
[9] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations,
Appl. Math. Sci., vol. 44, Springer-Verlag, 1983.
[10] R.S. Phillips, Perturbation theory for semigroups of linear operators, Trans. Amer. Math.
Soc., 74 (1953), 199-221.
[11] K. Singbal-Vedak, Semigroups of operators on a locally convex space, Comenn. Math.,
(1972), 53-74.
[12] K. Yosida, Functional analysis, 2nd ed., Grundlehren math. Wiss., Band 123, SpringerVerlag, New York, 1968.