@article{RSMUP_1981__64__1_0, author = {Vatsala, A. S. and Vaughn, R. L.}, title = {Existence of extremal solutions and comparison results for delay differential equations in abstract cones}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, publisher = {Seminario Matematico of the University of Padua}, volume = {64}, year = {1981}, pages = {1-14}, zbl = {0507.34063}, mrnumber = {636622}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1981__64__1_0} }

Vatsala, A. S.; Vaughn, R. L. Existence of extremal solutions and comparison results for delay differential equations in abstract cones. Rendiconti del Seminario Matematico della Università di Padova, Volume 64 (1981) pp. 1-14. http://www.numdam.org/item/RSMUP_1981__64__1_0/

[1] Punti uniti in trasformazioni a codominio noncompatto, Rend. Sem. Mat. Univ. Padova, 24 (1955), pp. 84-92. | Numdam | MR 70164 | Zbl 0064.35704

,[2] Ordinary Differential Equations in Banach Spaces, Lect. Notes, Vol. 596, Springer-Verlag (1977). | MR 463601 | Zbl 0361.34050

,[3] II, Academic Press, New York (1966). | MR 217751

, Topology, Vol.[4] An introduction to nonlinear differential equations in abstract spaces, Pergamon Press (1980). | MR 616449 | Zbl 0456.34002

- ,[5] Comparison results for reaction-diffusion equations in Banach space, Lecture notes of talks delivered at the conference on « A survey of theoretical and numerical trends in nonlinear analysis » at Bari, Italy. | Zbl 0433.35035

,[6] On the existence of solutions of differential equations of retarded type in a Banach space, Annals Polonic Mathematics, 35 (1978), pp. 253-260. | MR 477377 | Zbl 0373.34034

- - ,[7] Maximal and minimal solutions and comparison results for differential equations in abstract cones, Annals Polonic Mathematics, 38 (1977), pp. 317-324. | MR 597533 | Zbl 0367.34047

- - ,[8] Existence and uniqueness of solutions of delay differential equations on a closed subset of a Banach space, Nonlinear Analysis, Vol. 2, No. 3, 311-327. | MR 512662 | Zbl 0384.34040

- - ,[9] Existence of solutions in a closed set for delay differential equations in Banach spaces, Nonlinear Analysis, Vol. 2 (1978), pp. 47-85. | MR 512653 | Zbl 0383.34053

- ,[10] Non linear operators and differential equations in a Banach space, John Wiley and Sons, New York (1976).

,[11] Differential and integral inequalities, Vol. I and II, Academic Press (1968). | Zbl 0177.12403

- ,