Periodic and almost periodic solutions of integral inclusions

• Autorzy: Pietkun R.
• Języki publikacji: EN

Abstrakty

EN

The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.

Słowa kluczowe

EN

periodic and almost periodic solutions; integral inclusions; fixed point theorem

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: Vol. 58, no 3
• Strony: 239--245
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Pietkun R.

• Kwitnącej Jabłoni 15, 87-100 Torun, Poland,

Bibliografia

• [1] J. Appell, Multifunctions of two variables: examples and counterexamples, in: Topology in Nonlinear Analysis, Banach Center Publ. 35, Inst. Math., Polish Acad. Sci., 1996, 119-128.
• [2] J.-P. Aubin and A. Cellina, Differential Inclusions, Springer, Berlin, 1984.
• [3] T. A. Burton and T. Furumochi, Periodic and asymptotically periodic solutions of Volterra integral equations, Funkcial. Ekvac. 39 (1996), 87-107.
• [4] C. Corduneanu, Almost Periodic Functions, Interscience, New York, 1968.
• [5] R. Datko, On the integration of set valued mappings in Banach spaces, Fund. Math. 78 (1973), 205-208.
• [6] L. Górniewicz, Topological Fixed Point Theory of Multivalued Mappings, 2nd ed., Springer, 2006.
• [7] D. O’Regan and M. Meehan, Periodic and almost periodic solutions of integral equations, Appl. Math. Comput. 105 (1999), 121-136.