Existence and uniqueness theorems for fourth-order boundary value problems

• Autorzy: Jolanta Przybycin
• Języki publikacji: EN

Abstrakty

EN

We establish the existence and uniqueness theorems for a linear and a nonlinear fourth-order boundary value problem. The results obtained generalize the results of Usmani [4] and Yang [5]. The methods used are based, in principle, on [3], [5].

Słowa kluczowe

EN

eigenvalue; Leray-Schauder degree; Fredholm alternative

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1997
• Tom: 67
• Numer: 1
• Strony: 59-64

Daty

wydano

1997

otrzymano

1996-02-07

poprawiono

1996-08-20

Twórcy

autor

Jolanta Przybycin

• Institute of Mathematics, University of Mining and Metallurgy, Mickiewicza 30, 30-059 Kraków, Poland

Bibliografia

• [1] M. S. Berger, Nonlinearity and Functional Analysis, Academic Press, New York, 1977.
• [2] T. Kato, Perturbation Theory for Linear Operators, Springer, 1966.
• [3] J. Mawhin, Contractive mappings and periodically perturbed conservative systems, Arch. Math. (Brno) 12 (1976), 67-74.
• [4] R. A. Usmani, A uniqueness theorem for a boundary value problem, Proc. Amer. Math. Soc. 77 (1979), 329-335.
• [5] Y. Yang, Fourth-order two-point boundary value problems, Proc. Amer. Math. Soc. 104 (1988), 175-180.