Geodesic
Existence and uniqueness of nontrivial solutions for nonlinear higher-order three-point eigenvalue problems on time scales
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we study a nonlinear higher-order three-point eigenvalue problems with first-order derivative on time scales. Under certain growth conditions on the nonlinearity, sufficient conditions for existence and uniqueness of nontrivial solutions, which are easily verifiable, are obtained by using the Leray-Schauder nonlinear alternative. The conditions used in the paper are different from those in [4, 10, 21]. To show applications of our main results, we present some examples.
Classification : 39A10, 34B15, 34B18
Keywords: time scale, nontrivial solutions, eigenvalue problem, fixed point theorem, Leray-Schauder nonlinear alternative 
@article{EJDE_2008__2008__a24,
     author = {Han, Wei and Kao, Yonggui},
     title = {Existence and uniqueness of nontrivial solutions for nonlinear higher-order three-point eigenvalue problems on time scales},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a24/}
}
TY  - JOUR
AU  - Han, Wei
AU  - Kao, Yonggui
TI  - Existence and uniqueness of nontrivial solutions for nonlinear higher-order three-point eigenvalue problems on time scales
JO  - Electronic Journal of Differential Equations
PY  - 2008
VL  - 2008
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a24/
LA  - en
ID  - EJDE_2008__2008__a24
ER  - 
%0 Journal Article
%A Han, Wei
%A Kao, Yonggui
%T Existence and uniqueness of nontrivial solutions for nonlinear higher-order three-point eigenvalue problems on time scales
%J Electronic Journal of Differential Equations
%D 2008
%V 2008
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a24/
%G en
%F EJDE_2008__2008__a24
Han, Wei; Kao, Yonggui. Existence and uniqueness of nontrivial solutions for nonlinear higher-order three-point eigenvalue problems on time scales. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a24/