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Abstrakty
The existence of at least one solution to a nonlinear second order differential equation in Rκ on the semi-infinite with the first derivative vanishing at infinity is proved by using topological methods. The second boundary condition is x(0)=0 or x'(0)=0.
Słowa kluczowe
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Czasopismo
Rocznik
Tom
Strony
109--118
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Centrum Nauczania Matematyki i Fizyki. Politechnika Łódzka, Al. Politechniki 11, 90-924 Łódź, Poland, grampa@zb.net.lodz.pl
Bibliografia
- [1] Andres, J., Gabor, G., Górniewicz, L., Boundary value problems on infinite intervals, Trans. Amer. Math. Soc. 351 (1999), 4861-4903.
- [2] Constantin, A., On an infinite interval boundary value problem Ann. Mat. Pura Appl. (4) 176 (1999),379-394.
- [3] Bebernes, J. W., Jackson, L. K., Infinite interval boundary value problems for y" =f(x,y), Duke Math. J. 34 (1967),39--47.
- [4] Furi, M., Pera, M. P., A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals, Ann. Polon. Math. 47 (1987),331-346.
- [5] Karpińska, w. , On bounded solutions of nonlinear differential equations at resonanse Nonlinear Anal. 51 (2002), 723-733.
- [6] Mawhin, J., Topological degree methods in nonlinear boundary value problems, CBMS Regional Conference Series in Mathematics 40, Amer. Math. Soc., Providence, R.I., 1979.
- [7] Piccinnini, L. C., Stampacchia, G., Vidossich, G., Ordinary Differental Equations in Rn, Appl. Math. Sci. 39, Springer- Verlag, New York-Heidelberg-Berlin, 1984.
- [8] Przeradzki, B., On a two-point boundary value problem for differential equations on the half-line, Ann. Polon. Math. 50 (1989), 53-61.
- [9] Przeradzki, B., Nonlinear equations with non-Predholm linear part, Nonlinear Anal. 47 (2001), 4917-4923.
- [10] Rabier, P. J., Stuart, C. A., A Sobolev space approach to boundary value problems on the half-line, Commun. Contemp. Math. 7(1) (2005), 1-36.
- [11] O'Regan, D., Solvability of some singular boundary value problems on the semiinfinite intevral, Canad. J. Math. 48 (1) (1996), 143-158.
- [12] Stańczy, R., Bounded solutions for a nonlinear elliptic equations in unbounded domains, J. Appl. Anal. 6(1) (2000), 129-138.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-LOD4-0001-0010