Geodesic
On the solvability of nonlinear first-order boundary-value problems
Electronic Journal of Differential Equations, Tome 2006 (2006).

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

Summary: 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 
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     author = {Tisdell, Christopher C.},
     title = {On the solvability of nonlinear first-order boundary-value problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a119/}
}
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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/