On the contonuous dependence on parameters of solutions of the fourth order periodic problem

• Autorzy: Bartkiewicz M.
• Języki publikacji: EN

Abstrakty

EN

We consider the fourth order periodic problem with a functional parameter. Some sufficient conditions under which solutions of this problem continuously depend on parameters are given. Proofs of theorems are based on variational methods.

Słowa kluczowe

EN

periodic problem; variational methods; continuous dependence on parameters

PL

okresowy problem; metoda wariacyjna; zależność ciągła od parametrów

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2001
• Tom: Vol. 7, nr 1
• Strony: 113--130
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Bartkiewicz M.

• Faculty of Mathematics University of Łódź S. Banacha 22 90-238 Łódź, Poland,

Bibliografia

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• [3] Mawhin, J., Willem, M., Critical Point Theory and Hamiltonian System, Springer- Verlag, New York, 1989.
• [4] Ingram, S.K., Continuous dependence on parameters and boundary data for nonlinear two-point boundary value problems, Pacific J. Math. 41 (1972), 395-408.
• [5] Lepin, A., Ponomariev, W., Continuous dependence on parameters of solutions of the boundary value problem for ordinary differential equations (in Russian), Differential Equations 9(4) (1973), 626-629.
• [6] Sanchez, L., Boundary value problems for some fourth order ordinary differential equations, Appl. Anal. 38 (1990), 161-177.
• [7] Walczak, S., On the continuous dependence on parameters of solutions of the Dirichlet problem, Part I. Coercive case, Part II. The case of saddle points, Acad. Roy. Belg. Bull. Cl. Sei. (7) 12 (1995), Part I: 247-261, Part II: 263-273.