Geodesic
On the solvability of nonlinear first-order boundary-value problems
Electronic journal of differential equations, Tome 2006 (2006)
This article investigates the existence of solutions to first-order nonlinear boundary-value problems (BVPs) involving systems of ordinary differential equations and two-point boundary conditions. Some sufficient conditions are presented that will ensure solvability. The main tools employed are novel differential inequalities and fixed-point methods.
Classification : 34B15, 34B99
Keywords: existence of solutions, boundary value problems, differential equations, fixed-point methods, differential inequalities 
@article{EJDE_2006__2006__a119,
     author = {Tisdell,  Christopher C.},
     title = {On the solvability of nonlinear first-order boundary-value problems},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1117.34020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a119/}
}
TY  - JOUR
AU  - Tisdell,  Christopher C.
TI  - On the solvability of nonlinear first-order boundary-value problems
JO  - Electronic journal of differential equations
PY  - 2006
VL  - 2006
UR  - http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a119/
LA  - en
ID  - EJDE_2006__2006__a119
ER  - 
%0 Journal Article
%A Tisdell,  Christopher C.
%T On the solvability of nonlinear first-order boundary-value problems
%J Electronic journal of differential equations
%D 2006
%V 2006
%U http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a119/
%G en
%F EJDE_2006__2006__a119
Tisdell,  Christopher C. On the solvability of nonlinear first-order boundary-value problems. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a119/